Energy Dependence of String Fragmentation Function

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FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 55

Nuclear Physics

1 Nature of Chiral Candidate Bands in

134

Pr

*

CHEN Yong-shou, GAO Zao-chun

The chirality is common and has important consequence in science. Many biological and pharmaceutical molecules have static chirality when they are composed of four different atoms. The chirality may exist in nuclei when a particular angular momentum coupling scheme appears, where three angular momenta of the valence neutrons, the valence protons and the core are mutually perpendicular so that a left- and a right-handed system can be formed. 134 Pr is a best candidate where the nearly degenerate doublet bands were found experimentally. However, the most crucial criteria for the chirality is the equivalence of the reduced E2 transition probabilities in the doublet bands. Very recently, the large difference of the experimental B (E2) values in the doublet bands of 134 Pr has been reported [1] . Then a big question arises about the nature of the bands in 134 Pr. To answer the question we carried out calculations of the electromagnetic transition probabilities and energy levels of the doublet bands with the triaxial projected shell model (TPSM) which has been developed recently in CIAE. The calculated band energies are compared with the experiment data in Fig.1, showing that a nice agreement between theory and experiment has been achieved. Particularly, the crossing behavior of the band 1 and the band 2 was reproduced by the calculation. At the nearly degenerate region, from I =14 to 18, the calculated B (E2) values are larger in band 1 than in band 2 by about a factor of 3 in average, reproducing the experimental

B (E2) data quite well. The calculated results show also that from spin I =14 to 18 the doublet bands have completely different nature, the band 1 is a 2 quasiparticle (q.p.) band, 1n1p, while the band 2 is a 4 q.p. one, 1n3p. The shell model configuration mixing of the 4 q.p. components into the band 2 gives rise to the strong decrease of B (E2) values of the band 2 in the band interaction region of I =14-18. The chiral doublet bands must have similar intrinsic structure, therefore our theoretical results lead to a conclusion that the observed doublet bands in 134 Pr can not be interpreted as the chiral bands.

Fig. 1 Calculated and experimental energy levels of the chiral candidate bands of 134 Pr

■ —Exp., band 1; ● —Exp., band 2; △ —Theo., band 1; ▽ —Theo., band 2

References:

[1] TONEV D, et al. Phys Rev Lett, 2006, 96: 052501.

56 Annual Report of China Institute of Atomic Energy 2005

* Supported by National Natural Science Foundation of China (10305019, 10475115, 10435010) and Major State Basic Research Development

Program of China(G20000774)

2 Signature Inversion as a Probe for Triaxial Rotation

*

CHEN Yong-shou, GAO Zao-chun

The signature inversion phenomenon has been widely observed in nuclear rotational spectra but has no common understanding for more that 20 years. The triaxial rotation is a fundamental question in nuclear structure. The present study attempts to achieve a thorough explanation for the signature inversion and to provide the rules to probe the rotation of triaxial nuclei by examining experimental signature inversion data. The signature is associated with the invariance of a system with intrinsic quadrupole deformation under a rotation of 180° around a principal axis, and is defined in the cranking model. We define the dynamic cranking axis as the axis along which the total angular momentum has a largest component. Note that the dynamic cranking axis can be any one of three principal axis of a rotating triaxial nucleus, while the cranking axis defined in the cranking model is a fixed one. We interpret the signature inversion as the change of the dynamic cranking axis in the rotational triaxial nuclear system.

Take the yrast band of 157 Ho as an example, where the twice signature inversions occur at spin I =39/2 and

51/2 respectively. This band is based on an intrinsic configuration of the deformation aligned orbital in the proton h

11/2

shell, which has a large alignment I y

along the y -axis, the intermediate axis, thus the occurrence of the signature inversion in the band is determined by the character of the y -axis. The results of the present calculation show that the first signature inversion is caused by the change of the dynamic cranking axis from the y - to the x -axis, while the second inversion is due to the change back of the dynamic cranking axis to the y -axis from the x -axis (Fig. 1).

Fig. 1 Calculated expectation values of I x

2 , I y

2 , I z

2 with wave functions that has reproduced the double signature inversions in Fig.2

■ —

I x

2 ;〇 —

I y

2 ;△ —

I z

2

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

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Nuclear Physics 57

The cause of the change may be attributed to the alignments of the pair of neutrons in the i

13/2

shell.

The quantity S ( I )= E ( I ) - E ( I - 1) for the yrast band of 157 Ho was calculated with the triaxial deformed shell model which has recently been developed in CIAE. The calculated results well reproduce the double signature inversions observed in 157 Ho, as shown in Fig. 2.

Fig. 2 Calculated energies E ( I ) - E ( I - 1) of yrast band states for 157 Ho,

compared with the experimental data

Arrows indicate the signature reversion points

● —Exp.; 〇 —Theo.

* Supported by National Natural Science Foundation of China(10305019, 10475115, 10435010) and Major State Basic Research Development

Program of China(G20000774)

3 Signature Inversion: Manifestation of Drift of Rotational Axis in Triaxial Nuclei

*

GAO Zao-chun, CHEN Yong-shou, SUN Yang 1

(1 University of Notre Dame , Notre Dame , Indiana 46556, USA )

A possible scheme of realizing shell model calculations for heavy nuclei is based on a deformed basis and the projection technique. Here we present a new development, in which one starts with triaxially-deformed multi-quasi-particle configurations, builds the shell-model space through exact three-dimensional angular-momentum-projection, and diagonalizes a realistic two-body Hamiltonian in this space. The new model enables us to understand the old problem of signature inversion from a different view.

With an excellent reproduction of the experimental data in the mass 130 region(Fig. 1, Fig. 2), we interpret this phenomenon as a manifestation of dynamical drift of the rotational axis with presence of axial asymmetry in these nuclei. The neutron-proton interaction and the quadrupole-pairing force merely modify the detail but do not play an essential role in the underlying problem.

58 Annual Report of China Institute of Atomic Energy 2005

Fig. 1 Comparison of calculated energies with data for π h

11/2

 ν h

11/2

band in 118-130 Cs

Note the increasing trend in the reversion spin: 14.5 for

118

Cs, 16.5 for

120

Cs, 17.5 for

122

Cs, 18.5 for

124

Cs, 20.5 for

126

Cs,

21.5 for 128 Cs(prediction), and 22.5 for 130 Cs(prediction)

● —Exp.; 〇 —Theo.

Fig. 2 Calculated expectation values of I x

2 , I y

2 and I z

2 with wave functions from diagonalization that has reproduced 124 Cs data(Fig. 1)

■ — I x

2 ;〇 — I y

2 ; △ — I z

2

* Supported by National Natural Science Foundation of China(10305019,10475115,10435010) and Major State Basic Research Development

Program of China(G20000774)

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 59

4 Beta Decay Theory Based on Projected Shell Model

*

GAO Zao-chun, SUN Yang 1 , CHEN Yong-shou

(1 University of Notre Dame , Notre Dame , Indiana 46556, USA )

The wave functions calculated by the projected shell model have good angular momentums and good parities. This type of wave functions should describe, and indeed have successfully described many aspects of the nuclear properties. It is expected that good result could be obtained if one takes the PSM wave functions to calculate the beta decay matrix elements. Recently, this new beta decay theory, based on the projected shell model, has been formulated. As a testing example, we have calculated the

Gamow-Teller(GT) transitions of 164 Ho

164 Dy(Fig.1), and the calculated Log ft values are in good agreement with experimental ones(Fig.2). It is predicted that those GT transitions without spin change are stronger than those with spin changed by one unit.

Fig. 1 Gamow-Teller transitions between excited states

● —Exp.; 〇 —PSM

Fig. 2 B (GT) (a) and Log ft (b) of GT transitions shown in Fig.1

★ —Exp.; ■ —

I

I - 1; ● —

I

I

; ▲—

I

I +1

* Supported by National Natural Science Foundation of China(10305019,10475115,10435010) and Major State Basic Research Development

Program of China(G20000774)

60 Annual Report of China Institute of Atomic Energy 2005

5 Reflection Asymmetric Shell Model Description of Neutron-Rich

142

Ba Nucleus

*

CHEN Yong-Jing 1 , CHEN Yong-Shou, GAO Zao-Chun

(1 Department of Physics , Tsinghua University , Beijing 100084, China )

The reflection asymmetric shell model (RASM) has been developed to describe the octupole deformed odd nuclei. With the RASM the calculated rotational bands have good angular momentum and good parity and then can be directly compared with the experimental rotational bands. In this report, we have applied this model to describe the octupole deformed bands of the neutron-rich even-even nucleus

142 Ba. The quarupole-, octupole- and hexadecapole- deformation parameters used in this work are 0.127,

0.075 and - 0.03 , respectively. The calculated results for the ground band and negative parity band of

142 Ba are illustrated in Fig.1 and compared with the experimental spectra. From Fig.1 we can see that the calculation reproduces experimental data quite well. The experimental observation of the 1

- state has not been done, the predicted energy of the 1

state is about 1.2 MeV above the ground state 0 + , indicating the parity splitting is large. The octupole bands in 142 Ba have the very interesting features, namely, the large parity splitting at low spins, the fast quenching of the parity splitting with increasing spin and the striking inversion of parity at around spin 9 beyond which the negative parity band becomes lower in energy than the positive parity band. All these features are reproduced by the present calculation, particularly, the parity inversion point I inv

= 9 is also well reproduced. The reason for the parity inversion has not yet been clear, and one possible explanation is due to the variation of the octupole correlation effect with increasing spin. The octuple correlation and its variation with spins are included in the RASM. However, more theoretical and experimental investigations must be carried out for a deep understanding about this phenomenon.

Fig. 1 Theoretical and experimental energies of the ground(solid circles) and

negative parity(open circle) bands of 142 Ba as a function of spin

Solid line, open line—RASM; ● , 〇 —Experiment value

* Supported by National Natural Science Foundation of China (10305019, 10475115, 10435010) and Major State Basic Research Development

Program of China (G20000774)

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

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Nuclear Physics 61

6 Reflection Asymmetric Shell Model Description for

221,223

Ra Nuclei

*

CHEN Yong-jing 1 , CHEN Yong-shou, GAO Zao-chun

(1 Department of Physics , Tsinghua University , Beijing 100084, China )

The octupole component of the mean field would influence single-particle orbits, and further, influence the band structure, and should be clearly manifested itself by the spectroscopy of oddA nuclei, for example, the appearance of parity doublet bands. Because the spectroscopy properties of the oddA nuclei have a direct and close relation with the single-particle orbits for which the intrinsic parities are violated, the study of the octupole deformed oddA nuclei plays an important role in the study of the intrinsic reflection asymmetry in atomic nuclei. Reflection asymmetric shell model (RASM) is generated to describe octupole deformed oddA nuclei. As a primary application of the theory, we have done calculations for typical octupole deformed oddA nuclei, 221,223 Ra. The calculated results reproduce quite well the experimental K =5/2 parity doublet bands in 221 Ra and the K =3/2 doublet bands in 223 Ra, the spins and parities of the ground states in the two nuclei are also reproduced correctly(Fig.1, Fig.2). It is shown that the RASM can well describe the octupole deformed oddA nuclei, and thus the model will be an useful tool to explore into the nuclear reflection asymmetry.

Fig. 1 Comparison between calculated levels(th1 and th2) and experimental levels(exp1 and exp2) for 221 Ra

Fig. 2 Comparison between calculated levels(th1 and th2) and experimental levels(exp1 and exp2) for 223 Ra

62 Annual Report of China Institute of Atomic Energy 2005

* Supported by National Natural Science Foundation of China (10305019, 10475115, 10435010) and Major State Basic Research Development

Program of China(G20000774)

7 Triaxial Superdeformed Bands in Doubly Odd

160-168

Lu Isotopes

*

Tuya, CHEN Yong-shou, SHEN Cai-wan 1 , GAO Zao-chun

(1 School of Science , Huzhou Teachers College , Huzhou 313000, China )

Since the first discovery of the triaxial superdeformation(TSD) band of 163 Lu in 1992,a large number of bands with similar properties have been found experimentally in this mass region. They provide a unique possibility of studying superdeformed shapes with a pronounced triaxiality . In the present study, we systematically calculate the TSD bands in the doubly odd isotopes 160-168 Lu by using the three dimensional Total Routhian Surface(TRS) model. The quadrupole, hexadecapole and triaxial deformations for the various configurations are calculated self-consistently. The present calculations predict about 10 low-lying TSD bands for each of these odd-odd Lu isotopes, and a lot of them have not been measured. As an example, the calculated TRS for the configuration π h

11/2

[514]9/2

- α

=

1/2

 vi

13/2

[642]5/2 + α =1/2 in 162 Lu are shown in Fig. 1.

From calculated TRS one can determines equilibrium deformations, ( ε

2

, γ , ε

4

)= (0.457, 21.3° ,0.038).

Fig.1 TRS of 162 Lu for the configuration π h

11/2

[514]9/2

- α

=

1/2  vi

13/2

[642]5/2 + α

=1/2 a—the counter plot of total routhian, "A" indicates a local TSD minimum with deformation ε

2

=0.457, γ =21.3°; b— the counter plot of ε

4

, the hexadecapole deformation at symbol “+” is 0.038, which has the same position as “A” in (a)

We found in the doubly odd isotopes 160-168 Lu for the selected low-lying configurations there exist many TSD shapes, indicating that the TSD shapes is a general phenomenon for the mass region . We also calculated the relative energy of the TSD band head to the ground state, this may be useful for the experimental searching for TSD bands. To investigate the formation mechanism of the TSD shape we analyze the calculated component energy surfaces in detail. It was found that the shell correction energy, especially neutron shell correction energy, plays a key role while the deformation-driving of the highj orbital play an additional role in the formation of TSD band.

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

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Nuclear Physics 63

*Supported by National Natural Science Foundation of China (10305019, 10475115, 10435010, 10575036) and Major State Basic Research

Development Program of China(G20000774)

8 Isoscalar Giant Resonances of

120

Sn in Quasiparticle RRPA

*

CAO Li-gang 1 , MA Zhong-yu

(1 Institute of High Energy Physics, Chinese Academy of Sciences )

Recently, Beaumel et al. have measured the inelastic scattering of 26 Ne + 208 Pb using a 60 MeV/u

26 Ne secondary beam at RIKEN. This reaction is dominated by Coulomb excitations and selective for E1 transitions. The experimental data was under analysis when the paper was submitted. As a subsequent work, they will continue the experiment using a more neutron rich projectile 28 Ne. Therefore, the theoretical investigation of low-lying dipole modes in 26 Ne and 28 Ne has a practical significance. The low-lying isovector dipole strengths in neutron rich nuclei 26 Ne and 28 Ne are investigated in the quasiparticle relativistic random phase approximation(Fig. 1).

26 Ne and 28 Ne are open shell neutron-rich nuclei. Recent investigations show that Z =16 for neutron-rich nuclei may form a new shell, which are populated in a spherical shape. Nuclear ground state properties are calculated in an extended relativistic mean-field theory plus BCS method where the contribution of the resonant continuum to pairing correlations is properly treated. Numerical calculations are tested in the case of isovector dipole and isoscalar quadrupole modes in the neutron rich nucleus 22 O.

It is found that in present calculation low-lying isovector dipole strengths at E x

< 10 MeV in nuclei 26 Ne and 28 Ne exhaust about 4.9 % and 5.8 % of the Thomas-Reiche-Kuhn dipole sum rule, respectively. The centroid energy of the low-lying dipole excitation is located at 8.3 MeV in 26 Ne and 7.9 MeV in 28 Ne.

Recently, the experiment data show that the low-lying dipole excitation energy is around 9 MeV and exhausts 5% of Thomas-Reiche-Kuhn dipole sum rule, which are in good agreement with our theoretical prediction.

Fig. 1 Isovector dipole strength function in 26 Ne and 28 Ne a— 26 Ne; b— 28 Ne

Supported by National Natural Science Foundation of China (10305014, 90103020, 10275094) and Major State Basic Research Development

Program of China(G2000077400)

64 Annual Report of China Institute of Atomic Energy 2005

9 Effect of Pairing Correlation on Ground State and

Collective Excitations of Nucleus

*

CAO Li-gang 1 , MA Zhong-yu

(1 Institute of High Energy Physics , Chinese Academy of Sciences )

The contribution of the resonant continuum to pairing correlations is properly treated in the relativistic mean-field (RMF) + BCS approximation with a constant pairing strength. The single particle resonant states in the continuum are calculated by imposing proper scattering bound conditions.

Introducing a level density in the continuum we studied the effect of the widths of single particle resonant states on the ground state properties. It is found that the proper treatment of the resonance continuum is important to the exotic nuclei near the drip lines. It could affect the pairing gap, Fermi energy, pairing energy and the total binding energy of nucleus. The quasi-particle relativistic random phase approximation(QRRPA) is applied to investigate the collective excitations of open shell nuclei. The numerical calculations are performed in various isoscalar giant resonances in nucleus 120 Sn. The contributions from the pairing are mainly at the low-lying excitation. Results show that the low-lying states can also be satisfactorily described in the QRRPA.

Supported by National Natural Science Foundation of China(10305014,90103020,10275094) and Major State Basic Research Development

Program in China(G2000077400)

10 Theoretical Study of

2

H(d,γ)

4

He Reaction Below E

cm

<3 MeV

*

MA Yin-qun 1 , TIAN Yuan, MA Zhong-yu

(1 Physics Department , Taiyuan Teachers College )

The reaction cross sections of 2 H(d,γ) 4 He at the astrophysically interesting energies (about below few hundreds of keV) are extremely low. Presently it is impractical to measure in the laboratory. Therefore the theoretical investigation is required to predict the relevant cross section data. In this work we study the deuteron-deuteron radioactive capture reaction 2 H(d,γ) 4 He at the incident energy E cm

<3 MeV and the astrophysical s-factor, which could well reproduce the experimental data. Then the astrophysical s-factor is extrapolated to the energy region E cm

<20 keV, where no experimental data are available.

A direct capture method is adopted in the investigation of the 2 H(d,γ) 4 He reaction that allows for the

D-state component of the colliding deuterons. In the L-S coupling the system of d-d states have the following possible states with lowest angular momenta: 1 S

0

, 5 S

2

, 3 P

0,1,2

, 1 D

2

. Considering electromagnetic radiation with multipolarity less than 2, the following transitions are allowed:< 4 He|E2| 5 S

2

> , 4 He|E2| 1 D

2

> .

Considering internal motion of the colliding deuterons, we make the following ansatz for the bound states and scattering states wave functions of the d-d systems,

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

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Nuclear Physics 65

(

2 S

1

L

J

)

J f R

LS

( )

[ Y R

L

( )(

  d

S

R

1

) ]

S J

(1)

 cos



(

1

S

0

)

 sin



(

5

D

0

)

(2)

  i

L

4π(2 L

 1)  1/ 2 v

1

 k

(

2 S

1

L

J

) (3)

Here L is the orbital angular momentum, S the channel spin and J the total angular momentum, Ф S d the internal deuteron wave functions and f ( R ) a function of relative motion. The radial wave functions Ψ

α are normalized to one. The mixing angular ω parameterizes the D-state amplitude in 4 He. There are about

2%-17% uncertainty in the prediction of the 4 He D-state probability with various theoretical models. The scattering wave functions Ψ are normalized to unit flux, where v and k are relative velocity and wave number of the colliding deuterons.

We simply display our results for the capture cross section in the direct capture method:

( E cm

)

S

0,2

4π 2 S

 1

75 45

E

γ

 5

1 e

2

 

2 c k v

A ( 2 S

1 L

J

)

2

( 4 ) where E γ = E cm

+23.847 MeV is the energy of the emitted photon, A ( 2 S +1 L

J

) is the transition amplitude. At low energies it is most convenient to present the data in terms of the astrophysical S factor, defined by

S ( E cm

)= σ ( E cm

) E cm exp(2π η ) (5) where

η

= e 2 / ћv

is the Sommerfeld parameter. We can well reproduce the energy dependence of the cross section if we choose ω = - 0.275 leading to a 4 He D-state probability of P

D

=7.4%. As is shown in Fig. 1, the theoretical results are in good agreement with the experimental data at E cm

<3 MeV. The uncertainty of the predicted 4 He D-state probability can be attributed to many facts. One possible reason might be due to the p-wave contributions, which requires a further investigation.

Fig. 1 Reaction cross section

σ

( E cm

) of 2 H(d,γ) 4 He as function of deuteron incident energy in center of mass

*Supported by National Natural Science Foundation of China (10305014,90103020,10275094) and Major State Basic Research Development

Program in China(G2000077400)

66 Annual Report of China Institute of Atomic Energy 2005

11 Isospin-Dependent Relativistic Microscopic Optical Potential

*

RONG Jian, MA Zhong-yu

The Optical Model Potential(OMP) is one of the most powerful tools in the investigation of the nuclear reaction. In this work, the new decomposition of the Dirac Brueckner-Hartree-Fock(DBHF)

Gmatrix is adopted to investigate the isospin-dependent relativistic microscopic optical potential

(RMOP). The optical potential of a nucleon in the nuclear medium is identified with the nucleon self-energy. The real part of the RMOP is evaluated in the DBHF approximation by adopting the decomposition of G = V +Δ G , and the imaginary part is constructed by the imaginary part of the second-order G -matrix exchange diagram. The optical potential for the finite nucleus is obtained by means of the local density approximation (LDA), where the space dependence of the RMOP is directly connected with the density and asymmetric parameter( β ) of the asymmetric nuclear matter. The differential cross sections and the analyzing powers in the p + 40 Ca and p + 208 Pb at E p

less than 200 MeV are calculated with the RMOP. The isospin dependence of the RMOP is analyzed. Applying this RMOP, we also studied the nucleon elastic scattering off unstable nuclei and give some predictions on the proton-unstable nucleus scatterings.

The DBHF method adopts the realistic nucleon-nucleon (NN) interaction which is fitted to the NN scattering phase shifts and deuteron properties. The nucleon in-medium short-range correlation effect is taken into account in the DBHF by summing up all ladder diagrams. We adopt the new decomposition of the DBHF G -matrix, which was recently proposed by Schiller and Muether and calculate the Dirac structure of the nucleon self-energy. The G matrix is separated into a bare NN interaction V and short-range correction term Δ G . The projection method is only applied to the correction term, which is fitted by four pseudo-mesons. The ambiguities in the usual projection method are removed and a satisfactory description of the asymmetric nuclear matter (ASNM) and finite nucleus is achieved in this scheme.

The DBHF G -matrix contains the information of the isospin dependence of the effective interaction.

The proton and neutron in various asymmetry parameters

are distinguished in this work. Therefore, the

RMOP obtained by the G -matrix is isospin dependent. It is found that the direct term is the dominant part in the nucleon self-energy, which is energy-independent. The exchange term produces an energy dependent quantum correlation to the nucleon self-energy, which contribution is smaller than that from the direct term. The contribution of the correlation term Δ G to the nucleon self-energies characterized by pseudo-meson exchanges is also energy independent due to the zero-range interactions adopted in this approach, and it reduces the intensity of the self-energies. At a fixed nucleon density β >0 corresponds to the neutron-rich nuclear matter. It is found that at low energies both scalar and vector potentials of the proton decrease as

β increases. Interestingly, their energy dependence in the ASNM gets weaker than that in the symmetric one. Therefore, at certain energy the strengths of the scalar and vector potentials of proton become stronger than those in the symmetric nuclear matter(SNM), and vise versa for the neutron optical potential. The absolute values of the scalar and vector potentials of the neutron in the ASNM at low energies are larger than those in the SNM, and their energy dependence becomes stronger as β

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

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Nuclear Physics 67 increases.

The DBHF calculation can not be directly extended to very low density region because the phase transition may occur. Therefore, the method of effective meson exchanges is introduced to study the

RMOP in finite nuclei. We impose the condition that the nucleon self-energy and the binding energy per nucleon at each density and asymmetric parameter obtained in the DBHF is reproduced by the four kinds of meson(σ, ω, δ and ρ) exchange in the RHF calculation. Then the coupling constants of the mesons can be determined by the fitting method. With the suitable approach, the coupling constants can be extrapolated to the lower density region.

Fig.1 Elastic scattering differential cross sections and analyzing powers in p+ 208 Pb at E p

<200 MeV

Note that the differential cross sections are offset by powers of 10 (for E p

<100 MeV) and 100 (for E p

>100 MeV), while the analyzing powers are shifted by increments of 2 (for E p

<50 MeV) and 3 (for E p

>50 MeV), respectively

With the effective meson exchanges and the LDA, the RMOP in finite nuclei can be obtained. We solve the Dirac equation in finite nuclei, by eliminating the small component of the nucleon Dirac spinor.

Therefore, the Schroedinger type equation of the large component of Dirac spinors, as well as the

Schroedinger equivalent potentials, the central and spin-orbit ones can be obtained automatically. The

68 Annual Report of China Institute of Atomic Energy 2005 results show that the real part of the central potential is attractive at the low energy and becomes repulsive as the energy increases. At certain energy around 150 MeV or more an attractive pocket at the nuclear surface may occur, which is so-called “wine-bottle bottom” shape. It is formed by the balance between scalar and vector potentials. The intensity of imaginary central potentials increases as the energy increases.

These features are consistent with those observed in the phenomenological optical potentials.

The differential cross sections and the analyzing powers in the p + 40 Ca and p + 208 Pb at E p

less than

200 MeV are calculated with the RMOP. The differential cross sections and the analyzing powers in the proton elastic scattering off 208 Pb are plotted in Fig. 1. It is found that the calculated results coincide with the experimental results. It should be emphasized that the ROMP obtained from the DBHF G matrix without any free parameters could well describe the proton elastic scatterings off nuclei. The isospin dependence of the ROMP in finite nuclei is discussed and applied to unstable nuclei. We calculate the proton scattering off the Ca-isotopes and compare the results with and without distinguishing the proton and neutron densities. From the results of the Ca isotopes, it is found that the neutron skin or the halo structure in nuclei far from the

β stability line may give large effects on the scattering observables.

Therefore, the isospin dependence of the RMOP is important for exotic nuclei.

Supported by National Natural Science Foundation of China (10275094,10235020,10475116) and State Key Development Programme for Basic

Research of China (G1999022603,G2000077400)

12 Modified String Fragmentation Function and Particle Production in Nuclear Collisions at Top RHIC Energy

SA Ben-hao

A modified string fragmentation function is assumed in a hadron and string cascade model, LUCIAE

(m), accounting for interactions among strings formed at the early stage of relativistic nucleus- nucleus collisions. It turns out that the experimental data of global properties such as the charged multiplicity and the

meson rapidity density at mid-rapidity in p+p, d+Au, and Au+Au collisions at s

NN

=200 GeV are well reproduced by LUCIAE(m) rather than LUCIAE(d) (default LUCIAE). However, LUCIAE(m) fails to account for the suppression of high p t

transverse momentum spectrum observed in central Au+Au collisions at RHIC, even if final state rescatterings among produced hadrons are included in the calculations. The fact indicates that some novel mechanism has to be introduced to understand the suppression of hadron production at high p t

.

13 Investigation in Possibility of Producing Superheavy Fragments

Through Massive Nuclear Reactions at Low Energies

WU Xi-zhen, LI Zhu-xia, WANG Ning, TIAN Jun-long,

ZHAO Kai, ZHANG Yin-xun, OU Li, LIU Min

In this paper, the possibility of producing superheavy fragments through composite system breaking

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 69 up in massive nuclear reactions is investigated. Two main theoretical models, which are the quantum fluctuations within the fragmentation theory developed at 80 years and improved quantum molecular dynamics model developed recently by our group, are briefly reviewed. The dependence of the production probability of superheavy fragments on the incident energy, the decay mechanism of composite system and superheavy fragments, and the distribution of binding energy of superheavy fragments are discussed for reactions of 244 Pu+ 244 Pu, 238 U+ 238 U, 197 Au+ 197 Au based on the improved quantum molecular dynamics model.

14 Dynamic Study of Fusion Reactions of

40,48

Ca+

90,96

Zr

*

ZHAO Kai, LI Zhu-xia, WU Xi-zhen, WANG Ning ,

ZHANG Ying-xun, TIAN Jun-long, ZHANG Huan-qiao, LIU Zu-hua

Based on the Improved Quantum Molecular Dynamics Model the fusion reactions of 40,48 Ca+ 90,96 Zr are studied by making a more rigorous treatment of the initial condition. The study shows us that: (1) the calculated fusion cross sections for all four reactions of 40,48 Ca+ 90,96 Zr are in good agreement with experiment data; (2) the sub-barrier fusion for the neutron-rich reaction 40 Ca+ 96 Zr is substantially enhanced compared with the other three reactions. In order to understand the reason why the sub-barrier fusion of neutron-rich reaction 40 Ca+ 96 Zr is enhanced compared with no neutron-rich reaction 40 Ca+ 90 Zr and the those of neutron-rich reactions 40 Ca+ 90,96 Zr are not enhanced, the further investigations are carried out, those are: the dynamic fusion barriers for four reactions, the relation between dynamic fusion barrier and nucleon transfer and the relation between nucleon transfer and corresponding reaction Q value. It has been found that positive Q value leads to the strong nucleon transfer which reduces the dynamic fusion barrier and enhances the sub-barrier fusion cross section.

* Supported by the National Natural Science Foundation of China (10235030,10235020,1017593,10175089)

15 Elliptic Flow and System Size Dependence of Transition Energies at Intermediate Energies

*

ZHANG Ying-xun, LI Zhu-xia

One of the main goal for the research area of heavy ion collisions(HICs) at intermediate energies is to extract more accurate information of the nuclear equation of state(EoS). Considerable progress has been made recently in determining the equation of state of nuclear matter from heavy-ion reaction data. A prominent role among available observables is played by the collective flow. Many efforts on the study of the collective flow in HICs have been paid both experimentally and theoretically. The elliptic flow has proven to be one of the more fruitful probes for extracting the EoS and the dynamics of heavy ion collisions. The parameters of the elliptic flow is quantified by the second order Fourier coefficient from the azimuthal distribution of detected particles at mid-rapidity as d N d

P

0

+ v

1 cos

 

2 v

2 cos 2

.

70 Annual Report of China Institute of Atomic Energy 2005

Positive values for v

2

reflect a preferential in-plane emission, and negative values for v

2

reflect a preferential out-of-plane emission.

The elliptic flow for Z

2 particles in heavy ion collisions at energies from several tens to several hundreds MeV per nucleon is investigated by means of transport model, i.e. a new version of the

Improved Quantum Molecular Dynamics model (ImQMD05). In this model, a complete Skyrme potential energy density functional is employed. The influence of different effective interactions and medium corrections of nucleon-nucleon cross sections on the elliptic flow are studied. Our results show that a soft nuclear equation of state and incident energy dependent in-medium nucleon-nucleon cross sections are required for describing the excitation function of the elliptic flow at intermediate energies. The size dependence of transition energies for the elliptic flow at intermediate energies are also studied. The system size dependence of transition energies fits a power of system size with a exponent of 0.223.

* Supported by the National Natural Science Foundation of China (10175093, 10235030,10235020) and Major State Basic Research Development

Program in China (G20000774)

16 Re-visit N/Z Ratio of Free Nucleons From Collisions of Neutron-Rich Nuclei as a Probe of EoS of Asymmetric Nuclear Matter

LI Qing-feng 1 , LI Zhu-xia

(1 Frankfurt Institute fro Advanced Studies , Frankfurt University , Germany )

Following the establishment of radioactive beam facilities at many laboratories of different countries, the experimental studies on the equation of state (EoS) for asymmetric nuclear matter become possible.

As is well known that the EoS for asymmetric nuclear matter is one of the most important input for astrophysics. There exist large uncertainties for the symmetry energy, especially, its density dependence.

The symmetry energy at saturated normal density, i.e. the symmetry energy coefficient, is not well constrained. The theoretically predicted value are rather different from different approaches. In this paper we have studied the sensitivity of the N / Z ratio of free nucleons in collisions of neutron-rich nuclei at energies of 50 AMeV and 100 AMeV to the form of the density dependence of the symmetry potential energy term and the strength of the symmetry potential by using IQMD transport model. We have found that the N / Z ratio of free nucleons are sensitive to both the form of the density dependence of the symmetry potential and the strength of the symmetry potential term as well. The results of the influences of the different combinations of both symmetry potential strength and the form of the density dependence of symmetry potential show that the uncertainties of the symmetry energy coefficient largely reduce the sensitivity of the N / Z ratio of free nucleons from collisions of neutron-rich nuclei as a probe of the form of the density dependence of the symmetric energy part. It is urgently needed to have a more precise value of the a sym

in order to get more definite information of the density dependence of the symmetry energy.

17 Σ

∕ Σ

+

Ratio as a Candidate for Probing Density Dependence of Symmetry Potential at High Nuclear Densities

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 71

LI Qing-feng 1 , LI Zhu-xia

(1 Frankfurt Institute fro Advanced Studies , Frankfurt University , Germany )

By using the UrQMD model we have investigated the influence of the symmetry potential on the ratios between negative and positive charged pions and Σ hyperons in central collisions of 132 Sn+ 132 Sn and

112 Sn+ 112 Sn at energies 1.5, 2.5 and 3.5 AGeV. Two forms of the density dependence of the symmetry potential in the mean field are considered in order to find sensitive probes to the behavior of the symmetry potential at high-density nuclear matter. The obvious dynamical effect of the symmetry potential on neutron-rich reaction of 132 Sn+ 132 Sn is found and no effect on non-neutron-rich reaction system of

112 Sn+ 112 Sn is found. The effect of the symmetry potential on the π

- /π + ratio in 132 Sn+ 132 Sn at E =1.5

AGeV is similar to that found in paper (PRL 88,192701 (2002)) by Bao-An Li, but at higher energies like

E =3.5 AGeV the effect disappears. It can be explained as at the E =1.5 AGeV case the most important channel for the production of pion is Δ decay while at the E =3.5 AGeV case the other channels also play an important role and the contribution from Δ decay ia largely reduced. The situation about the effect of the symmetry potential on Σ - ∕Σ + is more complicated because Σ hyperon itself also experiences a mean field of nuclear medium as soon as it is produced. When the symmetry potential of Σ hyporns is not taken into account, a similar behavior with that of π - /π + ratio is found, i.e., the Σ

- ∕Σ + ratio calculated with the soft symmetry potential is higher than that with the stiff one at E =1.5 AGeV and the sensitivity to the symmetry potential disappears at E =3.5 AGeV. As soon as the symmetry potential of Sigma hyperons is taken into account, the Σ - ∕Σ + ratio calculated with stiff symmetry potential becomes higher than that with soft one at E =1.5 AGeV and the Σ - ∕Σ + ratio calculated with soft symmetry potential is higher than that with stiff one at E =3.5 AGeV. This feature of the energy dependence of the relative values of the

Σ - ∕Σ + ratio corresponding to different forms of the density dependence of the symmetry potential results from the dynamical effect of the symmetry potential of Σ hyperons. This feature may also be useful for us to extract the information of the symmetry potential of Σ hyperons in nuclear medium in addition to the structure of Σ hyper-nuclei.

18 Applications of Skyrme Energy-Density Functional to Fusion Reactions for Synthesis of Superheavy Nuclei

WANG Ning, WU Xi-zhen, LI Zhu-xia, LIU Min

The Skyrme energy-density functional approach has been extended to study the massive heavy ion fusion reactions. Based on the fusion barrier obtained and the parameterized barrier distribution the fusion

(capture) excitation functions of a lot of heavy-ion fusion reactions are studied systematically. The average deviations of fusion cross sections of 92% systems in 76 fusion reactions with Z

1

Z

2

<1 200 from experimental data are less than 0.05 at energies near and above the barriers. For the massive fusion reactions, for example, the 238 U-induced reactions and 48 Ca+ 208 Pb the capture excitation functions have been reproduced remarkable well. The influence of structure effects in reaction partners on the capture cross sections are studied and for qualitatively understanding the enhancement (excess neutron effect in neutron-rich nuclei) and suppression (closure shell effect) of capture cross sections at sub-barrier fusion energies the driving potential of the di-nuclear system model has been employed. Though comparing the

72 Annual Report of China Institute of Atomic Energy 2005 fusion reactions induced by double magic nuclei 48 Ca and by 32 S and 35 Cl, an optimal balance between the capture cross section of entrance channel and excitation energy of the formed compound nuclei are studied and the “threshold” of incident beam energy are explored. Finally, a lot of information on the fusion reactions with 36 S, 37 Cl, 48 Ca and 50 Ti bombarding on 248 Cm, 247,249 Bk, 250,252,254 Cf and 252,254 Es, and as well as the fusion reactions lead to the same compound nuclei with Z =120 and N =182 are provided, from which one can obtain very useful information for study on unmeasured massive fusion reactions, especially for predicting the optimal fusion combination and suitable incident beam energy for synthesis of superheavy nuclei.

19 Dynamic Study on Damped Reactions of

244

Pu+

244

Pu,

238

U+

238

U and

197

Au+

197

Au

WANG Ning, LI Zhu-xia, WU Xi-zhen

In most attempts to produce superheavy elements(SHE), the complete fusion reactions have successfully been tried. Since the 70’s the elements from

Z =107 to 116 were synthesized in the “cold fusion” reactions with lead and bismuth targets and “hot fusion” reactions with actinite targets. However, the further experimental extension of the region of SHE to the real ‘island’ with the complete fusion reaction is limited by the number of available projectiles and targets, and by the very low production cross section. In order to explore new more neutron-rich superheavy regions the radioactive ion beams will have to be utilized, but up to now the intensive radioactive ion beams are not available. In this case an alternative pathway to the superheavy elements, so called the strongly damped collision process between massive nuclei, for instance 238 U+ 238 U, would be worthwhile to be re-studied. The evident advantage of this kind of reactions would be the very large mass transfer probability and the high neutron-to-proton ratio which makes it possible to reach neutron-rich areas in the “island of stability” inaccessible to transfer or fusion reactions with lighter projectiles. In this letter, by using the microscopic transport model we study reactions of 244 Pu+ 244 Pu, 238 U+ 238 U and 197 Au+ 197 Au. We explore the dynamic process of the strong damped reaction and find that the production probability of superheavy products with Z larger than 114 in the 244 Pu+ 244 Pu reaction is much higher than that in the 238 U+ 238 U reaction, and for the 197 Au+ 197 Au reaction no products with Z larger than 114 has been found in the present study. The peak in the energy dependent production probability shows that the suitable selection of incident energy is very important for enhancing the probability of superheavy nuclei. The detail information about instantaneous structure and shape of superheavy products during the dynamic process has been obtained, which indicates that the exotic forms, for example , large deformed shape (band-like shape) could be one of stale configurations in superheavy nuclei.

20 Neutron Skin Thickness of Nuclei and

Effective Nucleon-Nucleon Interactions

LIU Min, WANG Ning 1 , LI Zhu-xia, WU Xi-zhen

(1 Institute for Theoretical Physics , Justus-Liebig-University Giessen , D -35392, Germany )

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 73

The Skyrme energy density functional is applied to study the ground state properties of nuclei and the stiffness of the symmetry energy. The binding energies and charge root-mean-square radii for selected nuclei can be described well. This makes us able to study the relation between the neutron skin thicknesses of nuclei and the isospin dependent part of the effective interactions. The figure shows the neutron skin thicknesses as a function of L (a) and K sym

(b) for 18 O , Ca , Sn , Sn and 208 Pb calculated with 45 Skyrme interactions available up to now. L

 e sym

   

0

and K sym

9

0

2

 e sym

   

0 give the slope and curvature of the symmetry energy near the saturated density, respectively. The data obtained with various methods are also shown in Fig.1

[1] .

Fig.1 Data obtained with various methods

The dot curve gives the results of calculation;

The solid line gives the data for neutron skin thicknesses obtained with SDR2, the dashed line gives those with antiprotonic atom method and the dash-dot line gives the results with (p,p) method

The calculation results show that the neutron skin thickness increase with the stiffness of the symmetry energy and the data obtained with antiprotonic atom method can be better described by more

Skyrme interactions. Our study indicates that the model independent analysis method for extracting the neutron skin thickness is especially important for providing accurate information of the density dependence of the symmetry energy of nuclear matter.

Reference:

[1] KRASNAHORKAY A, et al. Nucl Phys, 2004, A731: 224.

21 Applications of Skyrme Energy-Density Functional

74 Annual Report of China Institute of Atomic Energy 2005

to Fusion Reactions Spanning Fusion Barriers

LIU Min, WANG Ning, WU Xi-zhen, LI Zhu-xia

In this work, the Skyrme energy density functional has been applied to study heavy-ion fusion reactions. The properties of ground state nuclei are studied by using the restricted density variational method with the Skyrme energy density functional together with the semi-classical extended

Thomas-Fermi approach (up to second order in ħ ). With the proton and neutron density distributions obtained this way, the fusion barriers of a series of reaction systems are calculated by the same Skyrme energy density functional. We propose a parametrization for the weighing function based on the fusion barrier calculated with Skyrme energy density functional to calculate the fusion cross sections within the multi-dimensional barrier penetration theory. The weighing functions of the barrier are assumed to be two

Gaussian functions. With the parametrization of the weighing function for multi-dimensional barrier, fusion excitation functions for more than 50 systems are calculated within the multi-dimensional barrier penetration theory. A large number of measured fusion excitation functions spanning the fusion barriers can be reproduced well. The competition between suppression and enhancement of sub-barrier fusion caused by neutron-shell-closure and excess neutron effects have been investigated.

22 Energy Dependence of Dynamic Barrier in Heavy-Ion Fusion Reactions

TIAN Jun-long, WU Xi-zhen, LI Zhu-xia

Based on the improved quantum molecular dynamics model, the incident energy dependence of dynamic potential barriers in the entrance channel of synthesis of heavier nuclei are investigated. It is found that the lowest dynamic barrier is obtained which approaches to the adiabatic static barrier with the incident energy decreasing and the dynamic barrier goes up to the diabatic static barrier with increase of the incident energy. A microscopic understanding of the extra-push of fusion reactions and a new explaining of tunneling process for the fusion at the incident energy below the static and above the lowest dynamic barrier is presented. In order to understand the energy dependence of the dynamical barrier we also pay a great attention to study the neck formation and shape deformation during the dynamic lowering of the barrier.

23 Application of Self-Consistent Collective Coordinate Method to Multi-O(4) Model

GU Jian-zhong, Masato Kobayasi 1 , Kenichi Matsuyanagi 1

(1 Department of Physics , Graduate School of Science , Kyoto University , Kyoto 606-8502, Japan )

Microscopic description of large amplitude collective motions in nuclei is a long-standing fundamental subject of nuclear structure physics. The self-consistent collective coordinate(SCC) method which was developed by a Japanese group in 1980s [1] is a promising theory for this subject. It deeply roots

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 75 in the time-dependent Hartree-Fock theory and has a beautiful and compact mathematical formulation.

The SCC method has been successfully applied to kinds of anharmonic vibrations and high spin rotations, mainly by Kenichi Matsuyanagi and his co-workers [2] . The successful application substantiated the SCC method and illuminated its beauty and power.

The SCC method allows us to derive a collective Hamiltonian which describes the collective motion of a system. The collective Hamiltonian predicts the energy spectrum and transition strength of collective motion of the system. Being observable, the predicted ones can be tested by experimental data. The

O(4) model captures the main features of nuclear forces and is suited to simulate the competition between the pairing of nucleons and deformation of nuclei. Based on the SCC method, we have derived the collective Hamiltonians for the single-shell O(4) model and for the multi-shell O(4) model in the spherical case. In the deformed case, the collective Hamiltonian for the multi-shell O(4) model was also calculated, which serves a starting point to study nuclear shape coexistence phenomena. We developed computer codes to calculate the spectra of the collective Hamiltonians and the quadrupole transition strengths among low-lying states. When the collective state vector evolves from a spherical point our results are consistent with those given by the exact solution of the multi-O(4) model.

We studied microscopically and self-consistently the nuclear shape coexistence phenomena by using the coupled-configuration SCC method suggested by Fukui [3] . The diabatic picture is used in this approach. Namely, one first, based on the SCC method, defines two diabatic configurations which correspond to the prolate and the oblate states, neglecting the couplings between them. The couplings between the two kinds of states are then treated in a manner similar to the well-known coupled channel method. We applied the coupled-configuration SCC method to the multi-shell O(4) model. We have calculated the couplings, low-lying states and transition strengths. They are in good agreement with the exact solutions, those given by the adibatic SCC [4] and those given by the generator coordinate method. In future we will apply the coupled configuration SCC method to a model with pairing-plus-quadrupole interactions, and finally to a model with realistic interactions. We shall pay our particular attention to the dynamical origin of the shape coexistence. This research will clarify the mechanism of the shape coexistence, then enrich and deepen our understanding of the shape coexistence.

References:

[1] MARUMORI T, MASKAWA T, SAKATA F, et al. Prog Theor Phys, 1980,64:1 294.

[2] MATSUO M, MATSUYANAGI K. Prog Theor Phys, 1985,74:1 227.

[3] FUKUI Takahiro, MATSUO Masayuki, MATSUYANAGI Kenichi. Prog Theor Phys, 1991, 85:281.

[4] KOBAYASI M, NAKATSUKASA T, MATSUO M , et al. Prog Theor Phys, 2003, 110: 65.

24 Signature Splitting and Shape Coexistence in

127,129,131

Nd

DONG Bao-guo

Signature splitting and shape coexistence at high spin in the neutron deficient nucleus 129 Nd are investigated with the configuration-dependent cranked Nilsson-Strutinsky approach. The calculated bands are compared with the observed signature partner bands and very good agreement results at high spin are obtained. The observed deformed bands are confirmed as normal and highly deformed and their properties are explained theoretically. The calculated kinematic and dynamic moments of inertia J (1) and J (2) for

76 Annual Report of China Institute of Atomic Energy 2005 configurations of interest are found to be generally in good agreement with the observed results.

Terminating states in 129 Nd and other terminations are predicted. There is shape coexistence within the same configuration from low spin to high spin states. Possible normal and highly deformed bands with rotation around the intermediate principal axis in several interesting configurations of 129 Nd are discussed.

The experimental results for 131 Nd are briefly discussed and the calculated bands are in good agreement with experimental observations at high spin. Experimental observable triaxial deformed bands with γ values of about - 12° in 127 Nd are predicted. The shape evolution of special configuration with neutron number increasing in 127,129,131 Nd is discussed.

25 Statistical Properties of Resonance Matter in RHIC Reaction

*

LU Zhong-dao, HU Shou-yang

In the relativistic heavy ion collisions a large amount of particles are produced, mostly they are particles in the resonant state and construct the resonance matter. The statistical properties, such as temperature, chemical potential (baryon chemical potential and strangeness chemical potential), net baryon density, total particle density, total energy density etc., can be described by quantum statistical theory. As the experimental data of the 200 AGeV RHIC (STAR data) available, adopted the least-square-method and combined the statistical theory with experimental data, we studied the properties of this reaction. The results from fitting the STAR data are as follows: the temperature of resonance matter is T =161 MeV , baryon chemical potential is μ

B

=22.3 MeV , strangeness chemical potential is μ

S

=4.77

MeV , net baryon density is 0.008 8 fm

3 , total particle density is 0.42 fm

3 ( 3 times of normal nuclear density ) , total energy density is 0.41 GeV/fm 3 . This set of parameters and data clearly shows that the resonance particles at center rapidity region are produced with much higher energy than SPS energy but have experienced the expansion, the temperature decreasing and the dilution before measured.

* Support by National Science Foundation of China (10275096)

26 Unusual Threshold Anomaly in

6

Li+

208

Pb System

ZHANG Huan-qiao, LIN Cheng-jian, ZHANG Chun-lei,

RUAN Ming, LIU Zu-hua, YANG Feng, WU Xiu-kun

The angular distributions of elastic scattering for 6 Li+ 208 Pb system have been measured at several energies around the Coulomb barrier. The parameters of optical potential are extracted by means of a phenomenological optical model analysis. It is found that the real and imaginal potentials show a pronounced energy dependence. The behavior of the potential at the near- especially sub-barrier energies in the 6 Li+ 208 Pb system is quite different from the results of some previous reports observed in other systems, for example 19 F+ 208 Pb and 16 O+ 208 Pb. This unusual threshold phenomenon indicates that breakup channel is strongly coupled with the elastic channel and has obvious effects on optical potential.

This experiment was performed at HI-13 tandem accelerator of China Institute of Atomic Energy,

Beijing. A 208 Pb target of thickness about 150 mg/cm 2 evaporated on a about 25 mg/cm 2 carbon foil

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 77 backing was bombarded by the collimated 6 Li beam. Typical 6 Li current range was 5-300 nA(electrical), because of the variety according to bombarding energy and scattering angle. An array of five Δ E E silicon surface barrier detector telescopes was employed in the measurement, and 5 masks were placed in the front of each telescope for the angular resolution. Two Au(Si) surface barrier detectors were used to monitor elastic scattering at 25° with respect to the beam direction for cross-section normalization, assuming that the elastic scattering cross sections equal to the Ruthford cross section at the forward angles.

The elastic scattering cross sections normalized to the Ruthford cross sections for some energies are shown in Fig. 1. The errors come from the statistic errors. For the forward angles the error is about 2% and about 10% for backward angles, however a few of errors at the backward angels especially when the energy is above the Coulomb barrier, are more than 10%, since the static is very low. Keeley et al. have extracted the 6 Li+ 208 Pb optical potentials from their measured elastic scattering angular distributions. In view of this data importance, we have measured the elastic scattering angular distribution with more beam energies 25, 27, 29, 31, 33, 35, 37, 41, 43, 46 MeV respectively.

Fig. 1 Elastic scattering cross sections normalized to the Ruthford cross sections

Our data analysis procedure is similar to that used by C. J. Lin et al. The phenomenological optical potentials are used in present work. The low-lying excited states and deformation of nuclei are not resolved, so the code PTOLEMY, a program for heavy-ion direct-reaction calculation is employed to fit the elastic scattering angular distributions to get the pure elastic scattering potentials.

There are 6 parameters to be determined in the optical potential. First, a grid search was done with V

S and W

S

as variables and other four parameters fixed ( r v

= r

0w

= r

0

, a v

= a w

= a

0

). Here two sets of fit are finished with r

0

=1.24 and r

0

=1.30 fm. For each set, the influences of the potential parameters can be assessed with a

0

ranging from 0.43 to 0.68 fm in step of 0.05 fm. An example of this is shown in Fig.2 for beam energy of 46 MeV. All the lines converge at a certain short distance, which is called sensitive radius

R

S

and very close to the classical strong absorption radius D

1/2

. For different energies of the same system,

78 Annual Report of China Institute of Atomic Energy 2005 the R

S

value is different, which indicates the R

S

depends on the energies and shows some differences between the real and imaginary parts of potentials, as listed in Table 1. For consistency, the average value of all the R

SV

( R

SW

) of different energies, R

S

=12.4 fm are taken. Second, when r

0

=1.24 fm and a

0

=0.68 fm, the Χ 's of the fit reach the minimum values.

The results are also listed in Table 1. The real and imaginary parts of potentials at the sensitive radius( V

S

and W

S

) are shown in Fig. 3b,d with square symbols. The errors are derived from the Χ 2 / pt values given by PTOLEMY. The results are very similar with corresponding results of N. Keeley for the same energy case. For comparison, the results obtained for the 19 F+ 208 Pb are also illustrated in Fig. 3a,c, which is the typical threshold anomaly.

In summary, the angular distributions of elastic scattering for 6 Li+ 208 Pb system are measured at ten energies around Coulomb barrier from 25 to 46 MeV. The parameters of optical potential have been extracted by the phenomenological optical model analysis. It is found that the optical potential shows the different TA behavior compared to the case of tightly-bound projectile. This unusual TA behavior indicates that the entrance(elastic) channel is strongly coupled with the breakup channel. In other words, breakup has obvious effects on elastic scattering process. The nuclei far from the stability-line, especially the halo nuclei, whose optical potential is an interesting problem, are usually weakly bound too. Besides the parameters of optical potential are the basic input parameters for the various calculations of other reactions. Therefore a better understanding of the breakup effects on the optical potential is of great importance for searching new phenomena in nuclear physics.

Fig. 2 V ( r ) and W ( r ) vs r for beam energy of 46 MeV

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 79

41

37

35

33

31

29

27

25

Fig. 3 Real and imaginary parts of potentials at the sensitive radius a— 19 F+ 208 Pb, reference; b— 6 Li+ 208 Pb, this analysis; c—elastic scatterings, reference; d—elastic scatterings, this analysis a, c— R s

=12.5 fm; b, d— R s

=12.4 fm

Table 1 Sensitive radii and results of best fits obtained at r

0

=1.24 and a

0

=0.68 fm for elastic scattering

E

Lab

/Mev R

SV

/fm R

SW

/fm - V

0

- W

0

Χ 2

/ pt

46

43

12.56

12.25

11.55

11.44

12.0

13.0

26.2

22.0

6.51

22.30

11.92

12.57

13.55

12.95

12.98

13.21

12.63

12.21

10.94

11.68

12.34

12.08

13.09

13.00

13.27

11.51

9.5

12.8

20.2

28.1

21.4

16.3

15.2

18.9

23.4

27.0

32.1

28.5

29.6

32.9

41.1

50.7

2.04

18.50

9.70

16.20

8.12

10.40

8.49

16.27

27 Lifetimes Measurements of High Spin States in

178

Os

*

WU Xiaog-guang 1 , ZHU Li-hua 1 , CUI Xing-zhu 1,2 , LI Guang-sheng 1 , HE Chuang-ye 1 ,LIU Ying 1 ,

WANG Shuo 3 , YU Ying-nan 4 , CHEN Yong-jing 4 , LI Li-hua 1 ,WEN Shu-xian 1 , WANG Zhi-min 1

(1 China Institute of Atomic Energy ; 2 College of Physics , Jilin University ;

3 Department of Physics , Peking University ; 4 Department of Physics , Tsinghua University )

The present experiment was carried out at HI-13 tandem accelerator of the China Institute of Atomic

Energy in Beijing. High spin states in 178 Os were populated via 29 Si+ 154 Sm fusion evaporation reactions at beam energy of 155 MeV. The target was a 154 Sm foil with a thickness of 1.4 mg/cm 2 , backed by a lead

80 Annual Report of China Institute of Atomic Energy 2005 layer of about 20 mg/cm 2 to stop the recoils. Gamma-gamma coincidence experiment was performed with an array consisting of fourteen Compton suppressed HPGe-BGO spectrometers. A total of 1.23

10 8 coincidence events was accumulated on fixed disk in event by event mode. In the off-line analysis the event-by-event data were carefully gain-matched before they were stored into two dimensional E  E  matrices. The

-ray coincidence relationships were established by setting gates on the photo peaks of individual transitions and background subtractions performed by Radware. Lifetimes of high spin states in

178 Os are determined by analysing the Doppler-broadened line shapes.

The Doppler-broadened lineshapes were analyzed for the forward angle spectra and backward angle spectra.

As an example, Fig.1 shows the observed and fitted lineshape for the 432 keV 8 +

6 + transition of the backward angle. the lifetime measurements of

transitions performed by DSAMFT. The lifetimes of high spin states in 178 Os are measured (Table 1) .

Table 1 Lifetimes of high spin states in 178 Os

I

π

E

γ

/keV τ /ps

8 + 432 2.37

10 +

12 +

488

538

2.14

0.198

14 +

16 +

585

625

0.139

0.119

Fig.1 Backward angle spectra of the 432 keV 8 +

6 + transition

The scatter is the experimental data, the solid is the a fit to the experimental lineshape

Support by National Natural Science Foundation of China (10175070) and Major State Basic Research Development Programme(G2000077405)

28 Structure of High Spin States in

52

Mn

*

WU Xiao-guang, ZHU Li-hua, HE Chuang-ye, WANG zhi-min, WEN Shu-xian,LI Guang-sheng,

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 81

ZHANG Zhen-long 1 , MENG Rui 1 , CUI Xing-zhu 1 , MA Rui-gang, YANG Chun-xiang

(1 College of Physics , Jilin University , Changchun 130023, China )

The present experiment was carried out at HI-13 tandem accelerator of the China Institute of Atomic

Energy in Beijing. High spin states in 52 Mn, were populated via 12 C+ 48 Ti fusion evaporation reaction at beam energy of 55-85 MeV. The target was a 48 Ti foil with a thickness of 1.5 mg/cm 2 , backed by a lead layer of about 20 mg/cm 2 to stop the recoils. Gamma-gamma coincidence experiment was performed with an array consisting of fourteen Compton suppressed HPGe-BGO spectrometers. A total of 1.9

10 8 coincidence events was accumulated on fixed disk in event by event mode. In the off-line analysis the event-by-event data were carefully gain-matched before they were sorted into two dimensional E  E  matrices. The

-ray coincidence relationships were established by setting gates on the photo peaks of individual transitions and background subtractions performed using the packages of Radware, GASP ware and Specplot.

A new level scheme of

52

Mn has been established from present experiment, as shown in Fig.1. In order to understand the insight structure of the high spin states of

52

Mn observed in present work, we have performed semi-empirical shell model(SESM) calculations, shown in Fig.2. The calculation results were in good agreement with the experimental results.

Fig.1 Partial level scheme of 52 Mn

The asterisk * indicate the new transitions observed in present experiment

82 Annual Report of China Institute of Atomic Energy 2005

Fig.2 New levels of 52 Mn proposed from this experiment, compared with the results of SESM calculations

Support by National Natural Science Foundation of China(10105015, 10175070) and Major State Basic Research Development Program

(G2000077405)

29 High Spin Structures of Odd-Odd Nucleus

106

Ag

*

HE Chuang-Ye, ZHU Li-Hua, WU Xiao-Guang, WEN Shu-Xian, LI Guang-Sheng,

WANG Zhi-Min, CUI Xing-Zhu 1 , ZHANG Zhen-Long 1 ,MEI Rui 1 ,MA Rui-Guang

(1 Department of Physics , Jilin University , Changchun 130023)

Chirality is recently observed in high spin states of triaxial nuclei.

It is a new symmetry introduced to nuclear rotation. It has been suggested that chiral twin bands might be observed in the A ~130, A ~100 and

A ~180 transitional region [1] . The first experimental evidence for chirality structures, based on a

π h

11/2

 h

11/2

configuration was reported recently in several N =75, N =73, N =71 isotones. Considerable effort has been made over the last two years to find chirality structures in A ~100 mass region. Very recent work on 104 Rh [2] has provided the experimental evidence for chirality based on the π g

9/2

 h

11/2 configuration. 106 Ag [3] is the nearest N =59 isotones of 104 Rh, it has great possibility to find chiral twin bands.

The high-spin states of 106 Ag [3] were populated via the fusion-evaporation reaction 100 Mo( 11 B,

5n) 106 Ag at a beam energy of 60 MeV. The 11 B beam was delivered by the HI-13 tandem accelerator of the

China Institute of Atomic Energy(CIAE). The target consisted of a 2.5 mg/cm 2 layer of 100 Mo enriched to

97.4% and evaporated on an 11 mg/cm 2 lead backing. A total of 130×10 6 γ-γ coincident events were collected in event-by-event mode. Fig. 1 shows the partial level scheme of 106 Ag [3] deduced from the present work.

From Fig.1, it can seen that the levels of 106 Ag are characterized by 4 rotational bands.

1) The positive bands

In the left side of the level scheme in Fig. 1, the 6 + state is a known isomer, be configuration of

π( g

9/2

) -

3

 d

5/2

coupled with the 100 Sn core. Below the 12 + state, there are 2 bands with strong E2 transitions, in which the right band has M1 transitions between each levels, whereas the left one has M1 transitions only from the state of even spin to the state of odd spin. In former work [3] , the right band is

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 83 interpreted as a coupled band with configuration of π g

9/2

 g

7/2

, and the left one is a semi-decoupled band with configuration of π g

9/2

 d

5/2

. The levels above 12 + state are the members of the band built on the configuration of unpaired h

11/2

neutrons. This band has much stronger M1 transitions than the E2 transitions, being possible magnetic band built on the configuration of unpaired h

11/2

neutrons.

Fig. 1 Partial level scheme of 106 Ag

Energies are in keV; γ transitions indicated by * are newly identified in present experiment

2) The negative bands

The band (2) in Fig. 1 is a new band identified in our experiment, and its intensity is very weak. The

E2 transitions are much weaker than the M1 transitions in this band. For the assignment of Its configuration, a further analysis and theoretical calculations are needed.

The negative band (3) is the yrast band of 106 Ag. It has stronger M1 transitions and weaker E2 transitions, its configuration is assigned as π g

9/2

 h

11/2

[3] . The yrare band (4) is similar as band (3), the energies of the levels between 13

and 16

are very close to that of band (3), especially for the 14

state, the energy difference is only 39 keV. Comparing to the chiral bands observed in this mass region, we suggest that band (3) and band (4) are possible chiral twin bands of 106 Ag.

The further analysis of above experimental data is under way.

References :

[1] HECHT A A, BEAUSANG C W, AMRO H, et al. Phys Rev, 2003, C68 : 054310.

[2] VAMAN C, FOSSAN D B, STAROSTA K, et al. Phys Rev Lett, 2004, 92 : 032501.

[3] JERRESTAM D, KLAMRA W, GIZON J, et al. Nucl Phys, 1994, A577 : 786.

* Supported by Major State Basic Research Development Program(TG2000077405) and National Natural Science Foundation of China (10175090,

10105015 and 10375092)

84 Annual Report of China Institute of Atomic Energy 2005

30 Optimal Reactions for Synthesis of Superheavy Nucleus

270

Hs

*

LIU Zu-hua, BAO Jing-dong 1

(1 Physics department , Beijing Normal University , Beijing 100875, China )

The macroscopic-microscopic approach [1] predicts a strong proton-deformed shell at Z =108 to be a partner for the neutron shell at N =162. Thus the nucleus 270 Hs is expected to be a relatively strongly bound “double-magic” deformed nucleus. Therefore, it is of great interest to synthesize the nucleus 270 Hs and to investigate its structure experimentally. However, the cross sections of the superheavy nucleus formation are extremely small, in order of pb (1 0 -

12 barn). This feature makes the synthesis of the superheavy nucleus challenging. In order to successfully synthesize the superheavy nucleus it is very important to select the optimal combination of target and projectile, and the most favorable bombarding energy. In this report, we will present such optimal selections for synthesis of the superheavy nucleus

270 Hs.

The system, originally in the fusion valley, is injected into the asymmetric fission valley after captured. The dynamics in the second stage is assumed to be described by a two-parameter Smoluchowski equation [2] :

L x

 

 

L y

  

, ,

(1)

 t

Here x = s denotes the relative length between the effective surfaces of the approaching nuclei, and y = N represents the neutron number of the light nucleus. The potential, V af

( x , y ) in the asymmetric fission valley is calculated with the formulae in Ref. [3] and approximated by a repulsive parabolic potential

V af

( x , y )= - a ( y )( x - x max

( y )) 2 /2 with x max

( y ) locating the maximum value in V af

. By means of this potential, we get the drift coefficient D x

= a ( y )( x - x max

)/ α x

. The drift coefficient D x

is proportional to the y -direction driving force evaluated with the potential governing the neutron flow [2] .

. In Eq. (1) we introduced a parameter

γ to indicate the different time scales. In the limit

γ

>>1, which is consistent with the assumption that y will decays very rapidly to an equilibrium value y eq

, Eq (1) can be reduced to a one-parameter Smoluchowski equation [2] ,

  

L

0,0

 

(2)

 t

The operator L

0,0

has the form

L

0,0

 

 x

D x

 

D xx

 2

 x

2

(3) with

D x

 

 

D x

    d y (4)

Here

Φ

0

( y , x ) is the eigenfunction of the operator L y

( y , x ) for n =0.

The solution of the Fokker-Plank Eq. (2) turns out to be a Gaussian. The probability to reach the compound nucleus configuration is equal to the area under the distribution’s tail in the region x ≤ x max

[2]

P

CN

1 erfc

2

 (5)

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 85 where

 

B / kT , and erfc is the error function complement, equal to (1 - erf). B is the average barrier hight in the asymmetric fission valley.

The cross section of evaporation residue can be written as

ER

 π

2

J

0

2

J

 1

      

CN

, sur

, (6)

The transmission probability is calculated using a “diffused-barrier formula”. The survival probability W sur

( E , J ) is calculated with statistical model. Fig. 1 shows the evaporation residue cross sections for 4n channel for the reaction systems 30 Si+ 244 Pu, 36 S+ 238 U, and 48 Ca+ 226 Ra.

Fig. 1 Evaporation residue cross sections(

σ

ER

) for reactions 244 Pu( 30 Si,4n) 270 Hs, 238 U( 36 S,4n) 270 Hs, and 226 Ra( 48 Ca,4n) 270 Hs

--— 30 Si+ 244 Pu; — — 36 S+ 248 U; · · - — 48 Ca+ 226 Ra

The superheavy nucleus 270 Hs is expected to be a “double-magic” deformed nucleus. It is of great interest to synthesize the nucleus 270 Hs experimentally. In order to successfully synthesize the superheavy nucleus 270 Hs it is very important to select the optimal combination of target and projectile, and the most favorable bombarding energy. To this end, we have calculated its cross sections of evaporation residue for the reactions 244 Pu( 30 Si,4n) 270 Hs, 238 U( 36 S,4n) 270 Hs, and 226 Ra( 48 Ca,4n) 270 Hs. It is found that the

226 Ra( 48 Ca,4n) 270 Hs, and 238 U( 36 S,4n) 270 Hs are two optimal reactions for the synthesis of the superheavy nucleus 270 Hs due to their large negative Q -values.

References:

[1] CWIOK S, PASHKEVICH V V, DUDEK J, et al. Nucl Phys, 1983, A410:254-270.

[2] LIU Z H, BAO J D. Chin Phys Lett, 2005, 12: 3 044-3 047.

[3] SWIATECKI W J, SIWEK-WILCZYNSKA K, WILCZYNSKI J. Phys Rev, 2005, C 71 :014602-1-16.

* Supported by National Natural Science Foundation of China( 10235020,10235030)

31 Partial Fusion Induced by Weakly Bound Projectiles

*

86 Annual Report of China Institute of Atomic Energy 2005

LIU Zu-hua, RUAN Ming, ZHANG Huan-qiao, YANG Feng, LIN Cheng-jian, WU Yue-wei

From theoretical point of view two different conflicting scenarios have been foreseen, one [1] predicts a fusion enhancement with respect to reactions involving stable nuclei, the other [2] predicts a fusion cross section suppression due to the reaction flux lost in the breakup channel. Recently, Hagino et al.

[3] performed an improved coupled-channels calculation with the aim of reconciling the two conflicting scenarios. They predicted a complete fusion cross section enhancement at energies below the Coulomb barrier and a suppression at energies above the Coulomb barrier. These different theoretical predictions call for precise and reliable measurements as a watershed among various theories. The aim of the present work is to analyze the data for 6 Li and 9 Be pointing out the relation between partial and complete fusion at energies above the Coulomb barrier.

It is well known that fusion near and below the Coulomb barrier is strongly affected by the intric degrees of freedom of the interacting nuclei, whose coupling with the relative motion causes an energy splitting of the single uncoupled fusion barrier. This gives rise to a distribution of barrier heights, that manifests as an enhancement of fusion cross sections at energies near and below the Coulomb barrier.

Above the Coulomb barrier this effect becomes less important and, at well above the Coulomb barrier, it can be neglected. Fusion cross section of tightly bound nuclei can be satisfactory described with the semi-classical approach formula

 fus

E

 π R

2

B

(1 

V

B )

E

(1) where V

B

( R

B

) is the barrier height (radius). We can rewrite Eq. (1) as

 fus

π

R

2

B

E

V

B

(2)

The (

 fus

E ) π R

2 )

B

=  red fus

is called “reduced fusion cross section”. The  red fus

is a linear function of ( E - V

B

).

For weakly bound nuclei, the situation is more complicated. Coupling to channels that act as doorways to breakup enhances the sub-barrier fusion cross sections, whereas breakup itself may result in capture of only a part of the projectile, thus suppressing complete fusion. These two effects may either partially or totally cancel at energies below the barrier. Above the Coulomb barrier, however, the breakup-capture and/or stripping-like process may manifest itself due to the disappearance of the coupling effects. We will therefore discuss the effect of breakup on fusion by comparing experimental complete fusion cross sections to Eq. (2).

In the case of tightly bound nuclei, the breakup probability is always assumed to be very small.

Hence, the effect of breakup on fusion should be weak. This is the case for the well bound system

16 O+ 208 Pb that in the energy region above the barrier, follows rather well the straight line deduced from

Eq.(2). Therefore, the 16 O+ 208 Pb system can be taken as a good reference for the discussion of breakup effects on fusion. While in the cases of weakly bound projectile induced reactions 6 Li+ 208 Pb, 6 Li+ 209 Bi and 9 Be+ 208 Pb, the complete fusion cross sections lie below the straight line defined by the Eq. (2) at the energies above the Coulomb barrier. Therefore, it is seen that complete fusion of weakly bound projectile with heavy target is suppressed.

In the fusion of weakly bound nuclei, two nuclei undergo a complete fusion(CF) and an incomplete or partial fusion(ICF) processes. The total fusion cross section is sum of CF and ICF cross sections. Fig. 1

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 87 shows the reduced cross sections of total (open symbols) and complete (solid symbols) fusion of the systems 6 Li+ 209 Bi and 9 Be+ 208 Pb with Eq. (2). It is shown that the reduced total fusion cross sections are in agreement with Eq. (2), which means the loss in the complete fusion are related with the partial fusion, i.e.,

CF

 

ICF

 π

R

2

B

 1 

V

B

E

(3)

Fig. 1 Reduced fusion cross sections as a function of ( E

V

B

) for systems 6 Li+ 209 Bi, 9 Be+ 208 Pb, and 16 O+ 208 Pb

Recently, Diaz-Torres et al.

[4] investigated the effect of breakup on total fusion using a new continuum discretized coupled channel(CDCC) method. They found that the breakup enhances the total fusion at energies just around the barrier, whereas it hardly affects the total fusion at energies well above the barrier. Thus their theoretical work supports our analysis.

References:

[1] HUSSEIN M S, PATO M P, CANTO L F, et al. Phys Rev 1992, C46:377; 1993, 47:2 398

[2] DASSO C H, VITTURI A. Phys Rev, 1994, C50:R12.

[3] HAGINO K, VITTURI A, DASSO C H, et al. Phys Rev, 2000, C61:037602.

[4] DIAZ-TORRES A, THOMPSON I J, BECK C. Phys Rev, 2003, C68:044607.

* Supported by National Natural Science Foundation of China (10235030)

32 Primary Study on Radiation Effect of Biology Induced by Protons

ZHAO Kui, SUI Li, GUO Ji-yu, KONG Fu-quan, CAI Ming-hui, LIU Jian-cheng,

YUE Mao-xing 1 , LIU Zhi-guo 1 , LI Jian-zhong 1 , XU Bing-xin 1 ,

CHEN Ying 2 , LUO Qing-liang 2 , CHEN A-xin 2 , XIAO Min 2 , JING Hua 2 , HUA Nan 2

88 Annual Report of China Institute of Atomic Energy 2005

(1 Special Medicine of Center of the 306 th Hospital PLA , Beijing 100101; 2 Institute of Radiation Medicine , Beijing 100850 )

Radiation environment in outspace is a serious threat to astronauts for long duration space flight.

Galactic cosmic rays(GCR) and solar particle events(SPE) are the most important space radiation sources.

Both the GCR and the SPE contain significant number of high-energy protons, capable of large penetration and important nuclear interaction. Those protons have high linear energy transfer and higher relative biological effectveness(RBE) comparing with the low LET radiation (such as electrons, X-rays and gamma-rays) and thus can induce more damage to biological specimen. Shielding method can not prevent all of radiation risk, radioprotector is essential require for astronauts.

In order to provide basic data for the radioprotector the protons accelerated by HI-13 tandem accelerator are used to simulate the space environment and the primary experiment about radiobiological effect induced by proton is performed. The protons of 19 MeV bombard the gold target of 1.3 mg/cm 2 , the scattering protons are defocus by Q3D spetrometor and then go through a Kapton foil of 50

 m, the air of

1.5 cm and the plastic foil of 0.1 mm.. The energy of protons arriving to the surface of samples is 18 MeV.

The LET is about 2.9 keV/

 m with range of 3.5 mm in water.

A Au-Si surface barrier semi-conduct detector is fixed at 35° in the target chamber for the fluency monitor of protons. The plasmid DNA, human blood, marrow of monkey and ICR mouse are irradiated by proton in the dose range of 0-30 Gy.

The primary experimental results are as follows.

1) There are no obvious changes in the AFM images of plasmid DNA up to 30 Gy proton radiation.

2) The indexes of human blood are examined in the 7 days after proton radiation. The result show that chromosomal aberration fractions of human peripheral blood cell are higher at dose of 0.5,1 and 3 Gy, then descend at 6 Gy and no chromosomal aberration are observed on dose of 10 Gy but vacuoles appear in the cells. That is a sign of cell apoptosis.

3) The cell cycle measurement indicates that serious G0/G1 arrest takes place in cells of monkey marrow after proton radiation.

4) 14 days after proton radiation survive percent measurements of mouse indicate that mousses survive 100% when they suffer from proton radiation of 4 and 8 Gy, survive 80% at dose of 16 Gy. When dose increase to 32 Gy, all of mouse died.

5) Besides the depilation and burning of skin, some mutations present to the skin cell as well as tissues of heart, liver, kidney and lung.

33 Study of DNA Sample for Atomic Force Microscopy

*

CAI Ming-hui, ZHAO Kui, ZHAN Yong 1 , NI Mei-nan,

SUI Li, KONG Fu-quan, YANG Ming-jian

(1 School of Science , Hebei University of Technology , Tianjin 300130, China )

Atomic Force Microscopy(AFM) was invented by Binnig , Calvin F. Quate and Christoph Gerber in

1986. AFM has unique advantages in observing biological sample. First of all, biological sample can be observed in physiological environment; Second, the force between AFM tip and sample is so little that biological sample can keep undamaged; Third, nonconductor also could be observed by AFM .Therefore,

AFM had been used extensively in many fields after emergencing in 1986.

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 89

There is no doubt that the key point of using AFM is the preparation of the sample. At present, many ways of preparing DNA sample are used in different labs. Two methods of preparing DNA sample are used extensively in every labs. First, use bare mica as substrate, and add cations in DNA solution to improve the absorbed force; Second, bare mica is treated with different reagents, such as cation,

Glutaraldehyde, Spermidine and so on. However, there are many differences in preparing details. Such as,

DNA concentration, cation concentration and absorbed time. In one word, different methods are suitable for different experimental aims. We must find new methods which are suitable for the length measurement of DNA and the fragments induced by radiation, as well as statistical analysis.

The bare mica is used as substrates in the new method. There are three steps in our experiment: First, adjust DNA concentration with a invariable Mg

concentration; Second, adjust Mg

concentration with a invariable DNA concentration which is selected in the first step; Third, adjust some details, such as, absorbed time and times of rinsing sample with water. By a great deal of experiments, DNA concentration and Mg

concentration are fixed on 1 ng/

L and 1 mM, respectively.

Fig.1 AFM Image of DNA

Fig. 1 is the typical AFM image of PUC-19 plasmid DNA. The DNA sample is prepared with new method. The configuration of DNA can be clearly observed in the Fig.1, moreover the number of DNA molecular is moderate. With the new method of DNA sample preparation, we can measure the length of

DNA molecular and the DNA fragments induced by radiation, and then make statistical analysis.

* Supported by National Natural Science Foundation of China (10175095, 10474018) and President Foundation of China Institute of Atomic Energy

34 DNA End-Joining Catalyzed by Cell-Free Extracts

After Damaged by Heavy Ions

KONG Fu-quan, ZHAO Kui, ZHOU Ping-kun 1 , NI Mei-nan, SUI Li, CAI Ming-hui

(1 Department of Radiation Toxicology , Institute of Radiation Medicine ,

Academy of Military Medical Sciences , Beijing 100850, China )

It is ineluctability that the damage to astronaut will be induced by heavy ions along with the development to outer space. So the experiment of DNA end-joining catalyzed by cell-free extracts after

DNA damaging by heavy ions is done.

90 Annual Report of China Institute of Atomic Energy 2005

The DNA sample is pGEM-T1 double-stranded plasmid DNA and is offered by department of radiation toxicology of Beijing Institute of Radiation Medicine, Academy of Military Medical Sciences. In the experiment, 19 MeV of 7 Li (LET=120 keV/µm, in water) ions was generated by HI-13 tandem accelerator at China Institute of Atomic Energy (CIAE), and the DNA samples in aqueous solution were irradiated with various doses (4, 6, and 8 Gy) in atmosphere at room temperature. After irradiating, DNA end-joining was catalyzed by cell-free extracts in vitro system. Fig.1 shows the result of agarose gels electrophoresis.

In Fig.1 a and b, M is marker, 4, 6 and 8 are DNA irradiated with 4, 6 and 8 Gy respectively. 4′, 6′and

8′are DNA that are end-joined after irradiating with doses of 4, 6 and 8 Gy respectively.

In agarose gels electrophoresis, the supercoiled DNA moves more quickly than the linear form DNA because the supercoiled DNA is compact. In Fig. 1, the dimer form DNA like the experiment of PETER

Baumann et al.

[1] do not appear. But the fraction of linear form DNA increases after catalyzing by cell-free extract contrast to that before catalyzing. This phenomenon is more evident in the dose of 6 Gy than that in other doses. The reaction system Fig.1b has more cell-free extracts than the reaction Fig.1a. So it is evident that the increasing of linear form DNA in reaction system Fig. 1b is stronger than that in reaction system Fig. 1a. It may be that there are some damages of bases and sugar-bases in the DNA that still keep up the supercoiled form after irradiating. In the cell-free extracts, there may have some enzymes that can distinguish these damages and cut out them. Thus the supercoiled DNA turns into linear form DNA. The dimer and trimer do not appear in the experiment. The reason may be that two ends of linear DNA induced by heavy ions are not as regular as in the case of enzyme cut. All of these need more work.

Reference:

[1] PETER B, STEPHEN C W. DNA end-joining catalyzed by human cell-free extracts.Biochemistry, 1998, 95:14 066-

14 070.

Fig.1 DNA end-joining after irradiated by heavy ions 7 Li a

Cell-free extracts is18.8 μg

; b

Cell-free extracts is 63.45 μg

* Supported by National Natural Science Foundation of China( 10175095, 10435020) and President Foundation of China Institute of Atomic Energy

35 Study on Double-Strand Break of DNA Irradiated by γ Rays

*

KONG Fu-quan, ZHAO Kui, SUI Li, CAI Ming-hui, YANG Ming-jian

DNA is considered to be the most important bio-macromolecule and target molecule responsible for all biological effects. Many kinds of damage can be induced by radiation, such as base damage, single

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 91 strand break(SSB), double strand break(DSB) and crosslink of DNA and protein. DNA double strand breaks(DSBs) are considered to be the most important initial damage of all biological effects induced by high-LET heavy ions radiation. In particular, unrejoined DSBs are responsible for cell death.

In order to evaluate the relative biological effect(RBE) of DNA damage induced heavy ions,double-stranded pUC19 plasmid DNA is irradiated by γ rays. The pUC19 is purchased from TaKaRa

Biotechnology (Dalian) C., Ltd. at a concentration of 500 ng/μL in TE buffer (10 mM Tris-HCl (pH 8.0),1 mM EDTA). The plasmid is 2686 bp long. Before irradiation, the plasmid DNA was diluted to 250 ng/μL and 100 ng/μL. The free radical scavenger mannitol is added to the plasmid DNA at a concentration of

100 ng/μL. The samples are irradiated on ice in the course of irradiation with doses of 300, 500 and 700

Gy for 1 hour. After irradiation, the samples are analyzed by electrophoresis through 1% agarose gels for

40 min followed by photographic system.

Fig. 1 Electrophoresis photograph of DNA after irradiated by γ rays

In Fig.1, lanes 1, 2 and 3 are the DNA irradiated with dose of 300 Gy. Lanes 4, 5 and 6 are the DNA irradiated with dose of 500 Gy. Lanes 7, 8 and 9 are the DNA irradiated with dose of 700 Gy. Lanes 1, 4 and 7 show the DNA irradiated at a concentration of 250 ng/μL. Lanes 2, 3, 5, 6, 8 and 9 show the DNA irradiated at a concentration of 100 ng/μL. At the same time, the DNA in lanes 3, 6 and 9 are added mannitol at concentrations of 400 mM, 600 mM and 200 mM respectively.

It is shown that there are only two forms (linear and open circular DNA) in the lanes 1, 2 , , ,

8. And a shift to the fraction of the linear DNA is observed with the increasing dose. It indicates that DNA is damaged more and more seriously with the increasing dose. Compared with lanes 1, 4 and 7, the fraction of linear DNA in lanes 2,5 and 8 increases. It shows that DNA at a lower concentration can be damaged easier at the same dose. In all the lanes, only lanes 3, 6 and 9 have more supercoiled DNA and not linear DNA. It indicates that the mannitol has a function of scavenging free radical and protecting

DNA when DNA is irradiated. So the dose, concentration of DNA and mannitol all influences the double-strand breaks of DNA induced by γ rays.

* Supported by National Natural Science Foundation of China (10175095,10435020) and President Foundation of China Institute of Atomic Energy

36 Investigation of pUC19 DNA Damage Induced by Direct and

Indirect Effect of

7

Li Ion Radiation

92 Annual Report of China Institute of Atomic Energy 2005

SUI Li, ZHAO Kui, NI Mei-nan, GUO Ji-yu, KONG Fu-quan,

CAI Ming-hui 1 , YANG Ming-jian 1 , LIU Jian-cheng

(1 Hebei University of Technology , Tianjin 30013)

Numerous DNA lesions , such as base damage, single- and double- strand breaks(SSBs and DSBs), and cross-linking induced by direct and indirect effect(free radical) of ionizing radiation. DNA DSBs are considered as the most important initial damage of all biological effects induced by radiation. Free radical produced by radiation may be the main factor of yielding SSBs and DSBs in aqueous solution. It is essential to study the dynamics of free radical reaction by establishing proper in vitro model systems. In this experiment, we investigate the reactive dynamics of DNA strand breaks induced by heavy ions with atomic force microscopy (AFM).

Using 19 MeV of 7 Li heavy ion (LET=120 keV/μm, in aqueous solution) generated by HI-13 tandem accelerator, three conditions of pUC19 plasmid DNA samples including aquiform, dry and adding various concentrations radical scavenger(mannitol) are irradiated at different doses from 10 to 1 000 Gy in air.

After irradiating, these DNA samples are analyzed with AFM in nanometer-scale. There is the change of three forms of DNA, supercoiled (intact DNA), open circular (OC, DNA with SSB) and linear form (L,

DNA with DSB), as the dose is observed. Results obtained as follows.

1) For the aquiform DNA, the forms of DNA show regular change from SC to OC or L as the dose increases. At a dose of 1 000 Gy, nearly 90% of the DNA molecules are in long or short linear fragments.

2) For the dry DNA, the fraction of OC form increases with increasing dose and is larger than that for the aquiform DNA under the dose of 700 Gy. But the fraction of L form shows irregular change as the dose increases, and far lower than that for the aquiform DNA. These imply that DNA SSBs and DSBs induced by 7 Li ion as the result of direct and indirect effect, and the direct effect may be the main reason for yielding SSBs in dry DNA, the indirect effect may be the main factor of yielding DSBs in aqueous solution. Furthermore, DNA-DNA cross-linking is observed in irradiated dry DNA, which competes with

DNA strand breaks. This may be a reason of lower yield of DSBs in dry DNA.

3) For the adding various concentrations mannitol DNA, we observe the stronger protection effect of mannitol for DNA molecules at a dose of 1 000 Gy. As the concentrations of mannitol increase, the fraction of SC form increases, but the fraction of L form is lost gradually. At the 400 mM of concentration, the percent of L form is only 5%. These indicate that mannitol can effectively scavenge free radical and reduce the yields of SSB and DSB. These results also reveal that free radical is the important factor in 7 Li ion radiation induced DNA SSBs and DSBs under condition of aqueous solution.

In order to compare the effect of direct and indirect in heavy ion radiation with γ-rays radiation, three conditions of pUC19 plasmid DNA samples irradiated by 60 Co γ-rays at various doses from 500 to 2 000

Gy. The result analyzed with AFM shows that γ-rays more severely induce DNA strand breaks in condition of aqueous solution compared with dry.

That is to say free radical may be the main factor in

γ-rays radiation induced DNA damage. Though the dose is 30 and 2 000 Gy respectively, the fraction of three forms of dry DNA after 7 Li ion and γ-rays irradiation is the same. This indicates that direct effect is important in 7 Li ion radiation induced DNA damage. In addition, the stronger capability of mannitol protecting DNA is observed in γ-rays radiation.

Above results are important to further study the reactive dynamics of DNA strand breaks induced by heavy ions in the future.

37 Indirect Measurement of Cross Section of

9

Be(p,α)

6

Li

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 93

LI Cheng-bo, WEN Qun-gang, MENG Qiu-ying, ZHOU Jing, HU Shou-yang,

FU Yuan-yong, LI Xiao-mei, ZHOU Shu-hua, YUAN Jian, LI Xia, LIN Cheng-jian, XU Guo-ji

The cross section of 9 Be(p,α) 6 Li at low energies is important for nuclear astrophysics. But it is difficult for direct measurement because of the Coulomb barrier and electron screening effect. In order to measure the 9 Be(p,α) 6 Li bare nucleus cross section at astrophysical energies, the Trojan Horse

Method(THM) can be applied. The main feature of the method is that it allows to extract the energy dependence for the bare astrophysical S ( E ) factor at very low energies without any extrapolation, by measuring the cross section of an appropriate three body process.

In our experiment, the 9 Be(p,α) 6 Li reaction is studied by means of the THM applied to the

2 H( 9 Be,α 6 Li)n. In this case, the deuteron is used as “Trojan Horse” nucleus, having a high probability to be described as d=(p+n), in this framework the proton acts as the participant and the neutron as a spectator to the virtual two-body process 9 Be(p,α) 6 Li. The quasi-free reaction process is shown as Fig. 1.

The experiment has been carried out at HI-13 tandem accelerator in CIAE. A 9 Be 2+ beam of energy at

E =22.44 MeV and intensities up to 1-5 pnA impinged on a CD

2

linear foil target of about 257 μg/cm 2 thick and 1.5 mm wide. Two position sensitive detectors(PSD) which can give both precise energy and position signals are used for detecting α and 6 Li in coincidences. The PSDs are placed at the so-called quasi-free angular pairs (PSD1: 12.45°-23.44° , to detect α ; PSD2: 4.53°-15.43° , to detect 6 Li), where the quasi-free process contribution should be mostly present. Signals are sent to K max

data acquisition system via electronics.

Figure 2 is the experimental spectrum of E

1

E

2

from 2 H( 9 Be,α 6 Li)n reaction. The energy dependence of the two body reaction cross section of 9 Be(p,α) 6 Li at low energy range can be extracted from the

2 H( 9 Be,α 6 Li)n reaction data via THM theory. The data analysis is under processing.

Fig.1 Sketch map of quasi-free process

94 Annual Report of China Institute of Atomic Energy 2005

Fig.2 Experimental 2D-spectrum of E

1

E

2

from 2 H( 9 Be,α 6 Li)n reaction

38 Identification of SEU Sensitive Region of CMOS SRAM

Using Heavy Ion Microbeam

*

GUO Gang, HUI Ning, CHEN Quan, SHEN Dong-jun, XU Jin-cheng,

HE Chao-hui 1 , GUO Hong-xia 1 , LI Yong-hong 1 , LUO Yin-hong 1 ,

YAO Zhi-bin 1 , ZHANG Feng-qi 1 , SU Xiu-di 2 , LI Wei 2

(1 Northwest Institute of Nuclear Technology ; 2 Northeast Microelectronics Institute )

A 2K-bit static random access memory (SRAM) was irradiated using 79 Br ion beam with energy of

145 MeV at heavy-ion microbeam facility which connected with HI-13 tandem accelerator at China

Institute of Atomic Energy(CIAE). The beam spot of the microbeam was estimated to be around 2.5

 m

3.5

 m. The single-event upset (SEU) sensitive regions and the areas of the SRAM cell irradiated were identified using SEU mapping technique.

As shown in Fig. 1 is the microscope image of SRAM cells. Experiment results are shown in Fig. 2.

The number 55 was written into the memory by a SEU tester before each run of irradiation. The

SEU-sensitive regions are the reversed-biased NMOS and PMOS drain which are in the “off”-state.

Measuring the areas of the SEU-sensitive region gives (58±32)

 m 2 for NMOS, (14±10)

 m 2 for PMOS, and a total cross-section of (71±34)

 m 2 per cell.

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 95

Fig. 1 Microscope image of SRAM cell

Fig. 2 SEU-image of a 2K-bit CMOS SRAM

* Supported by National Science foundation of China(10375097) and Nuclear Industry Foundation of China(4160205030503)

39 Neutron-

Emission Competition in Spontaneous Fission of

252

Cf

*

96 Annual Report of China Institute of Atomic Energy 2005

HAN Hong-yin, XIA Hai-hong, WANG Tao-feng, MENG Qing-hua 1 ,

ZHU Li-ping, WANG Li-ming, HOU Long

(1 Northwest Institute of Nuclear Technology )

Nuclear fission is a process in which two fragments with the large deformations are formed at the scission. Because of excitation of bending and wriggling modes at scission as well as Coulomb torque between two fragments after scission, these closely related mechanisms result in the initial fragment angular momenta appearing in the fragments. As the fragments collapse to their equilibrium shape, the internal excitation energy stored in fragments before the scission and the excitation energy converted by the fragment deformation after the scission may be to dissipated by neutron emission, and the residual energy after neutron emission is expected to appear as

-ray emission because the neutron emission is hindered by an angular momentum barrier of fragments. So the neutron multiplicity and the

-ray multiplicity are relative directly to the fragment excitation energy and the initial fragment angular momenta, respectively. According to the positive correlation between the average neutron yield

ν

and the average

-ray multiplicity M  , observed for the spontaneous fission of 252 Cf(sf), the empirical formula

M  =1.13

ν +3.0 is suggested [1] . It must be noted that the recent measurements [2] show that the above description may be incorrect. In this work variations of both average neutron yield ν ( A * ) and average

-ray multiplicity M  ( A * ) with initial individual fragment mass A * were measured for 252 Cf(sf) reaction. The data acquisition was completed using a four-parameter correlation measurement.

The fission source with a spot in diameter of 5 mm and an activity of about

 

fissions per second, prepared on the carbon backing with a thickness of 40

 g

 cm 2 , was mounted between two semiconductors

(F1 and F2) face-to-face. Both fission detectors (

 

mm) were collimated down to 16 mm in diameter.

The fission source and the fission detectors (F1 and F2) were positioned in a small chamber (

 

cm



cm) with a wall thickness of 1 mm and at a high vacuum of about 0.2 Pa. A liquid scintillator

(

1

cm



cm) behind the F1, mounted at a distance of 46 cm from the F1, was served as neutron detector; while a HPGe detector behind the F2, with efficiency 60% for the

-ray detection, was placed at

36 cm distance from the detector F2. The distances from the fission source to the F1 and the F2 were 6 cm and 4 cm, respectively. All detectors (F1, F2, liquid scintillator, HPGe) and the fission source are mounted coaxially. To determine the absolute values for ν ( A * )and M  ( A * ) in the range of fragment mass number from A * =85 to 167, the kinematical focus effect of neutron emission from moving fragments and the Doppler shift effect of

-rays from the moving emission source were employed. A total of about 5

  correlation events were analyzed.

For convenience the experimental results are given by the correlation function M  (

ν

). The experimental results are the followings. 1) In the case of fragments at A * =85 to 123 amu, M  is a very weak linear increasing function of

ν

, namely as

ν

varies from 0.4 to 3.2 the M  increases linearly from about 4.1 to about 4.8; 2) There exists a strong positive correlation between M  and ν for the near symmetric fragments with mass A * =124 to 131, that is to say, M  increases from about 2.0 to about 4.2 with increasing ν from 0.45 to about 3.2; 3) The a strong complex correlation, observed for the asymmetric heavy fragments in the range from A * =132 to 167, is shown in Fig.1.

All the experimental facts above mentioned, especially the data given in Fig.1, indicate unambiguously that the simple positive correlation description of neutron-

emission competition is incorrect; in other words, the experimental data shows strongly that the neutron-

emission competition is complex in the spontaneous fission of 252 Cf. It must be pointed out that this complex correlation between neutron emission and

-ray emission is difficult to be explained only on the basis of excitation mechanism

6

5

4

3

2

1

0

0.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

4.0

Fig.1 M  as a function of

for

A*=132

167

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 97 of bending mode at scission or Coulomb torque after scission. The higher ν ( A * ), the more distorted is the fragment; and the more distorted the fragment, the more rotational angular momentum, namely the larger

-ray multiplicity M  . In order to explain various gamma emission data including the n-

complitition measured in this work, it is essential to develop a new theoretical model for the angular momentum excitation in fragments, although a new mechanism of fragment de-excitation, that is to say, the orientation pumping mechanism of fission

-ray emission, has been suggested recently.

Fig. 1 M  as a function of

ν for A * =132 to 167

References:

[1] NIFENECKER H A, SIGNARBIEUX C, et al. Nucl Phys, 1972, A189:285.

[2] MIKHAILO I N, QUENTIN P. Proceedings of the Second Int. Conf. On Fission and Properties of Neutron-Rich

Nuclei. Scotland, 1999: 384.

* Supported by National Natural Science Foundation of China(10175091)

40 Production of

10

C Secondary Beam

SU Jun, LI Zhi-hong, LIAN Gang, WANG You-bao, GUO Bing, ZENG Sheng,

YAN Sheng-quan, WANG Bao-xiang, BAI Xi-xiang, LIU Wei-ping

The inhomogeneous big bang models assume a universe with regions of high-density proton-rich materials surrounded by those of low-density neutron-rich materials, thus many reactions caused by unstable nuclei are very important. Fig. 1 shows a part of the nuclear reaction network of primordial nucleosynthesis [1] . The reactions related to 10 C are considerable in the investigation of primordial nucleosynthesis. The nuclei close to the driplines are mainly produced through complicated reactions between stable nuclei, while, the driplines can be approached in simple reactions involving radioactive nuclei, for example, the 10 C+p elastic resonance scattering can be used to study the unbound nucleus

11 N [2,3] . Furthermore, the measurement of the strength of the superallowed 0 + → 0 + transition in the β-decay of 10 C is important for checking the conserved vector current hypothesis [4,5] .

98 Annual Report of China Institute of Atomic Energy 2005

Fig. 1 Part of the nuclear reaction network of primordial nucleosynthesis

The experiment was carried out using the secondary beam facility [6] of HI-13 tandem accelerator. A

72 MeV 10 B primary beam impinged on a hydrogen gas cell at a pressure of 1.6 atm, produced 10 C secondary beam through the 1 H( 10 B, 10 C)n reaction in inverse kinematics. The front and rear windows of the gas cell are Havar foils, each with a thickness of 1.9 mg/cm 2 . The 10 C ions were separated from other series by a dipole magnet. The magnetic rigidity of ion can be expressed as

B

 q

2

K

E 2

K

1

(1)

2

In the equation, B

ρ

, q , M and E

K

denote the magnetic rigidity, charge state, mass and kinetic energy of ion, respectively. The strength of the magnetic field was set to match the magnetic rigidity of 10 C 6+ . The other ions can be effectively separated since their energies are observably higher than those matching the magnetic rigidity of 10 C 6+ , however, their low energy tails can match the magnetic rigidity.

To enhance the purity of the secondary beam, a wien filter had been installed on the downstream of the beam line. The force of the ion with the velocity of v from the electric ( E ) and magnetic ( B ) fields in the wien filter is given by

F

(

  cB ) (2) where

β

=

ν

/ c , is the velocity of light. Two apertures with the diameter of 3 mm and 5 mm had been set up in front of the secondary charge. The strength of the electric and magnetic fields were set to match the velocity of the 10 C 6+ . The deflected distance of the impurity before secondary charge are far bigger than the diameter of the apertures, thus the widen filter can effectively enhance the purity of the 10 C beam. The secondary beam was detected and identified with a ΔE-E counter telescope consisting of a 19.3

 m silicon

ΔE and a 300  m silicon E detector.

The two dimension spectrum of Δ E E t

is shown in Fig.2. The purity of the collimated 10 C beam was about 92 % after the magnetic and velocity selection, the beam energy was (55.9

± 0.9) MeV. The intensity of the 10 B primary beam can reach to 150 pnA, and the relevant intensity of the 10 C secondary beam is 850 s

1 , which can meet the requirements of nuclear reaction experiment .

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 99

Fig.2 Scatter plot of Δ E vs. E t

References:

[1] KAJINO T, BOYD R N. The Astrophys J, 1990, 359: 267-276.

[2] AXELSSON L, BORGE M J G, FAYANS S, et al. Phys Rev C, 1996, 54:R1 511-R1 514.

[3] MARKENROTH K, AXELSSON L, BAXTER S, et al. Phys Rev C, 2000, 62:034308.

[4] SAVARD G, GALINDO-URIBARRI A, HAGBERG E, et al. Phys Rev Lett, 1995, 74:1 521-1 524

[5] FULIKAWA B K, ASZTALOS S J, CLARK R M, et al. Phys Lett , 1999B, 449:6-11.

[6] BAI X X, LIU W P, QIN J C, et al. Nucl Phys, 1995, A588:273c-276 c.

41 Measurement of

17

F(d, n)

18

Ne Reaction

YAN Sheng-quan, LIAN Gang, LI Zhi-hong, LIU Wei-ping, WANG You-bao, BAI Xi-xiang,

ZENG Sheng, GUO Bing, WANG Bao-xiang, SU Jun

Explosive hydrogen burning occurs in very massive ( M ≥ 10 5 -10 8 M) star with high temperature and density. Hot pp chain, hot CNO, hot NeNa-MgAl chain and the flowing γp and αp process will play a prominent role in hydrogen burning as the temperature goes higher. When the temperature of the star is higher than 10 8 K, high temperature CNO chain is dominant in hydrogen burning, with the temperature goes higher to 5 × 10 8 K, CNO chain will transfer to NeNa-MgAl chain. 14 O(α, p) 17 F(p, γ) 18 Ne(α, p) 21 Na and 15 O(α, γ) 19 Ne(p, γ) 20 Na reaction chains included in high temperature CNO chain and the high temperature CNO leak mechanism affected the nucleosythesis path and energy generate rate greatly, 17 F(p,

γ) 18 Ne is one of the important reactions which involve radioactive nuclei. The cross section of the 17 F(p,

γ) 18 Ne reaction is very small at energy range of astrophysical interest. The angular distribution of 17 F(d, n) 18 Ne was used to extract the asymptotic normalization constant (ANC) for the virtual decay of 18 Ne →

17 F+p and the astrophysical S-factor for direct capture contribution in 17 F(p, γ) 18 Ne.

100 Annual Report of China Institute of Atomic Energy 2005

Fig. 1 Schematic layout of secondary beam facility

The measurement of the 17 F(d, n) 18 Ne reaction was carried out in secondary beam facility of the

HI-13 tandem accelerator at China Institute of Atomic Energy, as shown in Fig. 1. A 97 MeV 16 O primary from the tandem accelerator impinged on a D

2

gas target and 17 F ions were produced through the 16 O(d, n) 17 F reaction, After the magnetic separation and focus, the 71.8 MeV 17 F secondary beam was delivered.

The typical purity of 17 F beam was about 80% and the energy resolution was about 10%.

The 17 F beam was then collimated with two apertures in diameter of 3 mm and directed onto a

1.25 mg/cm 2 thick (CD

2

) n

target to study the 17 F(d, n) 18 Ne reaction. The reaction products 18 Ne were detected and identified with a ΔE-E telescope, setup was shown in Fig. 2. The telescope consists of a 19.3

μm silicon ΔE detector and a 300 μm 10-annular silicon E detector backed by an independent 300 μm silicon detector. Such a detector configuration covered the laboratory angular ranges of 0° to 6.5°(greater than the maximum θ lab

of 17 F with 6.2°, thus enabled 100% detection of 17 F ions due to the inverse kinematics).

Fig. 2 Experimental setup

We have got 3.35

× 10 8 17 F events, and the angular distribution of 17 F(d, n) 18 Ne is shown in Fig. 3.

Because of the poor energy divergence of the secondary beam, the angular distribution

θ cm

>45 ° is hard to extract, the theory analysis of the data is in progress.

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 101

Fig. 3 The angular distribution of the 17 F(d, n) 18 Ne reaction

42 Determination of Astrophysical

26

Si(p,

 

)

27

P Reaction Rate

From Asymptotic Normalization Coefficients of

27

Mg →

26

Mg + n

GUO Bing, LI Zhi-hong, BAI Xi-xiang, LIU Wei-ping, SHU Neng-chuan, CHEN Yong-shou

The 1.809 MeV

-ray from the decay of 26 Al is an excellent observable for some astrophysical events, such as novae and X-ray burst. The nucleosynthesis of 26 Al is dominated by the reaction chain

24 Mg(p,

) 25 Al(

+ ) 25 Mg(p,

) 26 Al, however, it is complicated due to the presence of a short-lived ( T

1/2

=

6.34 s) isomer. This dominant chain can be bypassed through 25 Al(p,

) 26 Si(p,

) 27 P, and thus 26 Si(p,

) 27 P is thought to be one of the key reactions in the production of 26 Al. It has been supposed that the thermal equilibrium between the ground and isomeric states of 26 Al may be reached at high temperature ( T

9

0.4) novae. The isomeric state of 26 Al can also be produced via the reaction chain 25 Al(p,

) 26 Si(

+ ) 26 Al m .

Therefore, 26 Si depletion via its (p,

) reaction is of importance for determining the quantity of 26 Al gs produced by the thermal equilibrium because 26 Al m would not be fed by 26 Si

 

decay.

At the temperatures of astrophysical interest, the 26 Si(p,

) 27 P reaction is believed to be dominated by direct capture into the ground state of 27 P and the resonant captures into the first and second excited states of 27 P. There are some theoretical and experimental studies on this reaction. To date, there has not yet been any experimental information concerning the direct capture rate of the 26 Si(p,

) 27 P reaction.

Here we reanalyze the existing 26 Mg(d,p) 27 Mg angular distributions, and deduce the neutron asymptotic normalization coefficients (ANC) for 27 Mg → 26 Mg + n, based on distorted wave Born approximation (DWBA) analysis. Fig. 1 shows the normalized angular distributions with four sets of optical potential parameters, together with experimental data of 26 Mg(d,p) 27 Mg at E d

= 12 MeV. The proton ANC of 27 P → 26 Si + p is then extracted using charge symmetry of mirror nuclei, and employed to obtain the 26 Si(p,

) 27 P astrophysical reaction rate for the direct capture into the ground state of 27 P. We have also derived the proton widths from the neutron ANCs and then computed the contribution of resonant captures into the first and second excited states of 27 P. Fig. 2 demonstrates the temperature

102 Annual Report of China Institute of Atomic Energy 2005 dependence of reaction rates for the direct capture into the ground state and the resonant captures into the first and second excited states of 27 P. It can be seen that the 26 Si(p,

) 27 P reaction is dominated by the resonant capture into the first excited state of 27 P in a wide range of temperature ( T

9

= 0.1-1).

Fig. 1 Experimental and the DWBA calculations using four sets of optical potentials at the ground(a), first(b) and second excited states of 27 Mg(c)

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 103

Fig. 2 Temperature dependence of reaction rates for direct capture and resonant captures

43 Measurement of Branching Ration

of Deuterium Induced Reactions on

2

He at 20 keV

ZHOU Jing, FU Yuan-yong, ZHOU Shu-hua, LI Cheng-bo, LIU Zhi-yi, MENG Qiu-ying

Nuclear reactions between light charged particles at low energy play important role in many areas of basic and applied physics. However due to the cross section drops dramatically with the decrease of incident energy, the measurement of the 2 He(d,

) 4 He reaction has to be conducted with very low effect and high background. So far the experimental results which have been published are only down to 50 keV incident energy. In the present work we extended the measurement of the branching ratio of 2 H(d,

) 4 He reactions versus the 2 H(d,p) 3 H reactions down to a beam energy of 20 keV.

In the experiment, a deuterium-loaded titanium target with Mo backing was bombarded by 20 keV deuteron beam produced by the low energy acceleration facility (LEAF) at China Institute of Atomic

Energy. The D-Ti target was about 0.5 mg/cm 2 thick with the atomic ratio of deuterium to titanium being

1.7

∶ 1. The beam current was about 5 mA and the size of the beam spot on the target was 10 mm × 20 mm. The experimental arrangement is shown in Fig.1. The

-rays were detected with a

20 cm × 20 cm

NaI(Tl) detector, which was surrounded by a 10 cm thick plastic scintillator detector with another 10 cm thick plastic scintillator detector in front as anti-coincidence shield for rejecting the cosmic ray background. Outside of the surrounding plastic scintillator, a shield composed of 10 cm of lead and 38 cm of lithium carbonated paraffin was used to reduce the background

-rays and neutrons. The axis of the

-ray detector assembly was at 8.5

to the beam. The protons produced from the 2 H(d,p) 3 H reactions were detected with a

8 cm GM type Au-Si surface barrier semiconductor detector placed at the end of a 100 cm long tube, which was perpendicular to the beam line.

There were two anti-scattering diaphragms to prevent the scattered protons from hitting the detector and a 3.03 mm collimator to define the solid angle.

The proton detector was covered with an aluminum foil of 2

 m in thickness to stop the scattered protons and other charged particles. The signals of the NaI(Tl) detector were fed into a multichannel pulse-height analyzer gated by the anti-coincidence signal. Simultaneously, the charged particle signals from the semiconductor detector were analyzed by another multichannel pulse-height analyzer.

104 Annual Report of China Institute of Atomic Energy 2005

The measurement was performed for 126 hours with beam on and also for 1 024 hours with beam off to measure the radiation background which is mainly composed of the remained cosmic ray background and was fitted with a function of y =exp( p

0

+ p

1 x + p

2 x 2 ). Fig.1a shows the raw spectra of the

-ray channel both with beam-on and beam-off (fitted). There is a peak near channel 145 in the beam-on spectrum.

Fig.1b shows the same spectrum with beam-off background subtracted. However, some background still exists mostly due to the neutron induced reactions. This background was fitted with a function of y = p

0

+ p

1 x + p

2 x 2 + p

3 exp {- 0.5[( x - p

4

)/ p

5

] 2 } and subtracted from the spectrum in Fig. 1b. Then a clean

-ray peak shows up in Fig.1c. This peak corresponds to 23.8 MeV according to the calibration.

Fig. 1 Raw

-ray spectrum(a) for E d

(lab)=20 keV and beam-off background spectrum with fit (solid line),

the same spectrum(b) as (a) but with beam-off background subtracted and neutron induced background with fit (solid line) and

-ray spectrum(c) with neutron background subtracted from (b)

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 105

By integrating the simultaneously measured 23.8 MeV

-ray peak and proton peak, the yield ratio of the

-ray versus the proton can be obtained. After the efficiency calibration, the branching ratio is calculated to be

 /

 p

=(1.06

0.45) × 1 0 -

7 . Fig. 2 shows the measured

 /

 p

ratios from present work

(solid circle) and from Ref. [1] (solid square) and [2] (open square). One can see that within the errors the ratios can be considered as energy independent in the energy range between 10 and 80 keV.

Fig. 2 Ratios in the 10-80 keV D-D c.m. energy range

■— From Ref.[1] ;□— From Ref.[2] ;●— This work

References

:

[1] CECIL F E , HALE G M. The science of cold fusion como, Italy: Societa Italiana di Fisica,1991.

[2] WIKINSON F J, CECIL F E . Phys Rev, 1995, C31: 2 036.

44 Study of PHOS Pre-shower Detector Performances

LI Xiao-mei, HU Shou-yang, ZHOU Jing, MENG Qiu-ying, LI Shou-ping

In the LHC/ALICE experiments, photon production will be studied with the PHOS electromagnetic calorimeter. A pre-shower detector has been proposed with a passive converter sandwiched by two

MICROMEGAS detectors covering PHOS module to improve the photon identification, with respect to the set-up with only CPV in front of PHOS. The PPSD will considerably improve the rejection of neutral hadrons and the identification of overlapping showers.

The prototypes of PPSD with 8×6 pads in each MICROMEGAS detector have been developed and tested at CERN PS with proton, pion and electron beams of 2 GeV/c and 1 GeV/c momentum. The choice of the gas mixture during the experiment was Ar+10%iC

4

H

10

.

In the experiment, the data acquisition accumulated events with two trigger configurations: wide beam (the beam spreads over more than one pad) and small beam (the beam spreads just over one pad).

These beam characteristics helped to measure the relative weight of noise and response. With the wide beam trigger (10 cm×10 cm), the selected beam spot is larger than the size of one pad (2.2 cm×2.2 cm).

106 Annual Report of China Institute of Atomic Energy 2005

The beam illuminated the central pad and its neighboring pads. The charge distributions are collected by a single pad of PPSD for different micro-mesh voltages. Each distribution shows two components: one at low amplitudes which corresponds to the intrinsic electronic noise associated with the pad and one at large amplitudes which corresponds to the response to ionizing particles. The intrinsic electronic noise exhibits a Gaussian distribution. This component corresponds to events in which the beam particles selected by the wide beam trigger, hit one of the neighboring pads and the central pad only registered noises. The maximum of the Gaussian distribution is a measure of the V550 pedestal. The width of the

Gaussian distribution is a measure of the electronics noise, which depends on the electromagnetic environment and on the capacitance of the pad anode. The second component represents the detector response to ionizing particles and exhibits a Landau distribution. This distribution is a result of the fluctuations in the number of primary electrons created in the drift region. The maximum of the Landau distribution reflects the gain attained in the amplification zone. The width is mainly related to the average number of primary electrons: a smaller average number of primary electrons leading to larger fluctuations.

A correlated noise, a noise level common to all pad signals, adds to the intrinsic noise of a pad. It results from the experimental environment, e.g. Inhomogeneities in the detector and readout in addition to energy loss and calibration errors. It can be removed on an event-by-event basis.

We have studied the charge collected on a single pad as a function of the micro-mesh voltage, for voltages ranging from - 380 to - 450 V. The evolution of the detector gain in the amplification gap as a function of the micro-mesh voltage, HV mesh

, for a constant cathode voltage is shown in Fig.1. In the experiment, gas mixture was Ar+10%iC

4

H

10 and the micro-mesh voltage is - 1 000 V. The solid line is to guide the eyes , the fit equation is Gain=0.002 7e 0.0033HVmesh

. In the measured HV mesh

range, the gain changes from 6×10 2 to 8×10 3 . An increase of 20 V of the HV mesh

changes the gain by a factor of 2.

Fig. 1 Gain in the amplification gas as a function of the micro-mesh voltage

The detector efficiency has been studied as a function of the gain. The efficiency is defined as the ratio between the integrated area of the Landau distribution starting from n σ ( n =2, 3, 4) of the Gaussian maximum and the area of the total integrated Landau distribution. We calculate the efficiency in two ways: with and without correlated noise. The efficiency is considerably improved after removal of the correlated noise. We observe that for HV mesh

larger than 400 V (the gain is larger than 10 3 ), the detector efficiency is

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 107 above 95%. When HV mesh

is equal to 450 V, the efficiency reaches 99.6%. The steep decrease of the detector efficiency for HV mesh

lower than 400 V is caused by the fact that the gain is too low to induce on the pad a signal larger than the dispersion of the nominal noise.

To study the background induced by the passive converter in the gaseous detectors, we used the small beam trigger selection. Choose 430 V as the micro-mesh voltage. The small beam definition is smaller than the size of one pad. The noise contribution almost disappears on the central pad. For the pads positioned out of the beam trajectory, the amplitude distribution is still dominated by the noise component.

With the small beam trigger, we have obtained the following efficiencies: 99.9%, 99.7%, 99.4% calculated from 2 σ , 3 σ and 4 σ of Gaussian maximum.

45

Spectroscopy of Hypernuclei

11

Λ

B

and

12

Λ

C *

FU Yuan-yong , ZHOU Shu-hua, L I Chen-bo, ZHOU Jing, MENG Qiu-ying

The purpose of this experiment is to study the nuclear medium effect on the magnetic moment of

 particles by measuring the life time of the M1 spin flip transition of 11

B

( 7/2 +

5/2 + ) as well as to solve the 10

B puzzle by studying the ground state doublet spacing of

12

C .

The experiment was conducted at the K6 beam line of the PS accelerator of KEK using the

HYPERBALL2 spectrometer which was constructed jointly by TOHOKU University and China Institute of Atomic Energy. The hypernuclei

11

B and

12

C

were produced through the 12 C(

+ ,K + ) reactions.

About 1.2×10 12 of

+ particles were accumulated. Preliminary analyses have identified 6

lines from

11

B (262, 454, 500, 564, 1 428, 2 479 keV) and 2.61 MeV

rays from the ground state doublet transition of

12

C

. Further analyses are in progress.

﹡ Supported by National Natural Science Foundation of China(1987507,10375094)

46 Lifetime Measurements for Electric-Dipole

n=0 Transitions

in the Beryllium-Like Sulfur

*

DU Shu-bin, YANG Zhi-hu 1 , CHANG Hong-wei, SU Hong

( 1 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China )

We have measured the lifetimes of

 n = 0 allowed transitions in the beryllium-like sulfur using beam foil spectroscopic technique. The measured values, derived from analysis of arbitrarily normalized decay curves, are presented and compared with theoretical calculations and previous measurements (Table 1).

Accurate probabilities have been determined by the well-known relationship and were present in Table 2.

108 Annual Report of China Institute of Atomic Energy 2005

The measurements were performed at the

heavy ion research facility in Lanzhou (HIRFL)

in the Institute of Modern Physics and at the HI-13 tandem accelerator in the China Institute of Atomic

Energy (CIAE). The spectra were collected in the 190-530 Å range, where a large number of accurately known lines were available, the spectra were assigned using the wavelength table given by Kaufman and

Martin.

Table 1 Wavelengths and lifetimes for Be-like sulfur

Wavelength /Å

Transition

This Expt. Theory

Lifetime /ps

Previous Exp. Theory

This Expt.

2s2p 1 S

0

-2s2p 1 P o

1

256.67 256.685

129 ± 4

130 ± 15 128

2s2p 1 P o

1

-2p 2 1 S

0

301.12 300.99

81 ± 5

81 ± 4 84

2s2p 3 P o

0

-2p 2 3 P

1

303.35 303.384

165 ± 7

164

2s2p 3 P o

2

-2p 2 3 P

2

308.91 308.953

159 ± 8

168 161, 161,168, 156

2s2p 3 P o

1

-2p 2 3 P

0

312.53 312.732

176 ± 11

192 ± 15 169, 170

2s2p 3 P o

2

-2p 2 3 P

1

316.79 316.843

167 ± 8

177 ± 9 164, 165

Table 2 Transition probabilities for some allowed

n=0 transition in beryllium-like sulfur

10 9 transition probability / s

1

Transition

This work Theory

2s 2 1 S

0

-2s2p 1 P o

1

2s2p 1 P o

1

-2p 2 1 S

0

2s2p 3 P o

0

-2p 2 3 P

1

2s2p 3 P o

2

-2p 2 3 P

2

2s2p

3

P o

1

-2p

2 3

P

0

2s2p 3 P o

2

-2p 2 3 P

1

7.75

12.35

6.06

6.29

5.68

5.99

7.42, 7.77, 7.81

11.91

6.10

5.96, 6.40, 6.21, 6.1

5.92, 5.88

6.10, 6.06

* Supported by National Natural Science Foundation of China

47 Experiment Design for Resonant Scattering Reactions With Thick Target

*

WANG You-bao, WANG Bao-xiang, BAI Xi-xiang, GUO Bing, LI Zhi-hong,

LIAN Gang, LIU Wei-ping, SU Jun, YAN Sheng-quan, ZENG Sheng

The thick-target method for resonant scattering reactions using secondary radioactive ion beams in inverse kinematics attracts a lot of attention, recently. The method makes use of a target, for example

(CH

2

) n

, which is thick enough to stop the secondary beams. The measured proton spectrum, after correction of reaction kinematics and energy loss, reveals the excitation function of elastic resonant reaction. A fit of the excitation function gives rise to the energy, spin-parity and

 p of the resonances. The advantage of the method is that the excitation function for a certain energy range can be obtained by a one-shot run, thus is suitable for the currently available low-intensity secondary beams.

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 109

Towards to thick-target experiments on the secondary beam line at HI-13 Tandem laboratory, a setup based on the use of a time-of-flight (TOF) system and large-area double-sided silicon strip detector

(DSSSD) is prepared. A schematic drawing of the setup is shown in Fig. 1.

Fig. 1 Thick-target experimental setup

The TOF system is applied for the identification of the components in secondary beams. A gate on the wanted components in the TOF spectrum can be used for the normalization of the cross section, and also for the elimination of the random

+ background arisen from the decay of the stopped beams in (CH

2

) n target.

For this purpose, two plastic scintillator timing detectors are used, each of which is composed of a 10

 m thick BC422 scintillator foil coupled with a Hamamatsu R2083 photomultiplier tube (PMT). The flight path of TOF is 3 590 mm.

Fig.2 TOF spectrum

To cover the full energy range of emitted protons, a

E-E telescope which consists of a 63

 m thick

110 Annual Report of China Institute of Atomic Energy 2005

DSSSD backed with a 982

 m thick silicon detector is installed. Both detectors are of the size of 50 mm

50 mm, the DSSSD is position sensitive with a resolution of 3 mm

3 mm, defined by the width of microstrips orthogonally oriented on both sides. The

E-E telescope is placed at 150 mm downstream from the (CH

2

) n target to enhance the angular resolution; in addition, the beam spot is refined by a 5mm and 3 mm in diameter collimator complex.

The setup is tested with a 17 F secondary beam of about 60 MeV on a (CH

2

) n

target of 7.53 mg/cm 2 .

As an example, a TOF spectrum is shown in Fig. 2. In Fig. 2, the hatched area corresponds to 17 F produced via 2 H( 16 O, 17 F)n reaction. The purity of 17 F is of 44 % in this run, which is much less than the best ever achieved of 82%. The 17 F can be identified in TOF with a resolution of 4.5 ns in FWHM.

A Monte-Carlo simulation of the

E-E telescope is performed under the same condition. The proton total energy in the center of mass (c.m.) frame versus energy loss in DSSSD is given in Fig.3. It is shown that the threshold is about 200 keV and the resolution is of about 100 keV(both in c.m. frame). Further improvement of the energy resolution can be achieved by analyzing the TOF spectrum. Experiment with the setup using 17 F secondary beam for the 18 Ne excited states of nuclear astrophysical interest is scheduled.

Fig. 3 Proton total energy in c.m. frame versus energy loss in DSSSD

* Supported by National Natural Science Foundation of China(10445004)

48 Benchmarking of Evaluated Neutron Data for Beryllium by a 14 MeV Slab Transmission Experiment

XIN Biao, BAO Jie, CHEN Lin, JIANG Jing, ZHOU Zu-ying , TANG Hong-qing

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 111

The neutron leakage spectra from the surface of the Beryllium slab at 9 0° have been measured by the time-of-flight method. The measured neutron energy range was from 14 MeV down to 3 MeV. Three dimensional Monte Carlo simulation code MCNP has been used to simulate the experiment. Evaluated neutron data of 9 Be from CENDL3.0, ENDF/B-6, JENDL3.3, JEF3.0/3.1 libraries have been selected for the MCNP simulation. The experiment results have been compared with the results simulated by MCNP.

The 9 Be neutron data benchmark results have been discussed.

49 Sonoluminescence Research in Water Medium

BAO Jie, LIU Yong-hui, HUANG Han-xiong, YANG Jian,

FU Qiang, ZHOU Zu-ying, TANG Hong-qing

The necessary instruments have been setup for sonoluminescence characteristic and mechanic research in China Institute Atomic Energy. Some relative parameters have been gotten. The lasting time of flashing light exceed one hour. And some sonoluminescence characters also have been measured, such as dependence of light intensity in water as a function of the relative percentage of air gas, noble gas, temperature; coincidence of sonoluminescence light frequence and source generator output frequence; and angular distribution of sonoluminescence flashing light. It will provide a base for sonofusion research.

50 Systematics Study of the Independent Yields for Neutron-Induced Fission of

235,238

U and

239

Pu

SHU Neng-chuan, LIU Ting-jin

The fission yields play important rolls in the nuclear engineering, such as the calculations for the decay energy and the poisonous material in reactor engineering. The independent yield is the main part of the fission yields. The systematics of the independent yields was studied for fission of 235,238 U and 239 Pu induced by thermal, fission spectrum and fast(about 14 MeV) neutron with Zp model, and the data were evaluated. The results were compared with the data from other libraries such as ENDF/B6, JEF-3.0 and

JENDL3.3.

51 Further Analysis of Neutron Double-Differential Cross Section of n+

16

O at 14.1 and 18 MeV

DUAN Jun-feng, YAN Yu-liang, SUN Xiao-jun, WANG Ji-min, ZHANG Jing-shang,

By using a new reaction model for light nuclei, the double-differential cross section of total outgoing neutron with LUNF code for n+ 16 O reactions at E n

=14.1 MeV and 18 MeV have been calculated and analyzed. The opened reaction channels, which have contribution to emit the neutrons, are listed in detail.

To improve the fitting results the direct inelastic scattering mechanism is involved. The calculated results

112 Annual Report of China Institute of Atomic Energy 2005 agree fairly well with the experimental data at E n

=14.1 MeV and the deviation from calculated results and experimental data in low energy region at E n

=18 MeV has been analyzed. Since the possibility of 5 He has been affirmed theoretically, so 5 He emission from n+ 16 O reaction is taken into account, which play important role at the region of the outgoing neutron energy ε n

<3 MeV in total outgoing neutron energy-angular spectrum. The calculated results indicate that the pre-equilibrium mechanism dominates the whole reaction processes, and the recoil effect in light nuclear reactions is essentially important.

52 Theoretical Analysis of Neutron Double-Differential

Cross Section of n+

19

F at 14.2 MeV

DUAN Jun-feng, YAN Yu-liang, SUN Xiao-jun, ZHANG Yue, ZHANG Jing-shang

A new reaction model for light nuclei of 1p shell is expanded to 19 F with 2s-1d shell nucleus. The d o u b l e -d i ffe ren t ia l c ro ss sec ti o n s of to ta l o utgo ing n eu tro n fo r n + 1 9 F reac t io n s at

E n

= 14.2 MeV are calculated and analyzed, and the calculated results agree fairly well with the experimental measurements. The contributions from different reaction channels for the double-differential cross sections of total outgoing neutron are analyzed in detail. The contributions of the second neutron from (n,2n) reaction channel dominate the low energy region of the double-differential cross section, whereas the neutrons of 5 He separation contribute to this region indistinctively. The continuous level has been employed in the former nuclear reaction model, in fact this is an approximate approach from the theoretical calculation point of view, while all of the residual states are the discrete levels in the n+ 19 F reaction. In this way the much more accurate physical picture can be given.

53 Pre-formation Probability of

5

He Cluster in Pre-equilibrium Mechanism

DUAN Jun-feng, YAN Yu-liang, ZHANG Jing-shang

The possibility of 5 He cluster emission has been affirmed theoretically. In order to describe the emission probability of 5 He cluster, the pre-formation probability of 5 He cluster in pre-equilibrium emission process is need to be established. In terms of Iwamoto-Harada model, the theoretical formula of pre-formation probability of 5 He cluster including 1p shell nucleon in pre-equilibrium mechanism has been established and calculated. In the case of low incident energies, the configuration of [1, m ] for 5 He cluster is the dominant part in the nuclear reaction. The calculated results indicate that pre-formation probability of configuration [1, m ] for the unstable 5 He cluster is much smaller than that of d,t, 3 He, and

4 He light stable composite particles, which is consisted of only 1 s shell nucleons. However, it is propitious to the emission of 5 He from the point of view on threshold energies, since the binding energies of 5 He are generally lower than that of 3 He in compound nucleus. The corresponding model formula has been given in this paper for described pre-formation probability of 5 He cluster in pre-equilibrium mechanism.

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 113

54

5

He Emission in Neutron Induced

10

B Reactions

WANG Ji-min, DUAN Jun-feng, YAN Yu-liang, SUN Xiao-jun, ZHANG Jing-shang

The possibility of 5 He cluster emission for neutron induced light nucleus reaction has been affirmed theoretically.

5 He is unstable and separated into a neutron and an alpha particle spontaneously.

The neutron from 5 He breakup process contribute to the low energy region of the total outgoing neutron double-differential cross sections, and the calculated results could improve the fitting with the double-differential measurements. In addition, the calculated results show the fact that the 5 He cluster is emitted mainly from the pre-equilibrium emission process in n+ 10 B reactions. In n+ 10 B reactions, 5 He cluster emission has been discussed with the updated level scheme and the new optical model parameters.

In this paper the reaction channels related to 5 He emission are listed in detail. By using the new reaction model for light nuclei, the double-differential cross sections of total outgoing neutrons for n+ 10 B reactions at E n

=14.2 MeV have been calculated, which agree fairly well with the double-differential measurements.

Particularly, in the energy-angular spectra the contribution from the

5

He

-emission to the total outgoing neutron double-differential cross sections has also been analyzed. To show the contribution from the

5 He-emission the partial energy-angular spectra of 60 o at E n

=14.2 MeV have been given. Indeed, once the

5 He emission is taken into account, the fitting with the double-differential measurements of total outgoing neutrons at the low energy region could be improved. Therefore, to consider the 5 He emission properly in the reaction processes of light nuclei is necessary.

55 Double-Differential Cross Section of

5

He Emission

YAN Yu-liang, DUAN Jun-feng, ZHANG Jing-shang, XU Guang

The probability of 5 He particle emission has been affirmed theoretically. In order to describe the 5 He emission, the theoretical formula of the double-differential cross section of emitted 5 He is established.

Based on the pick-up mechanism, used for calculating the formula of d, t, 3 He and

emissions, the theoretical formula of double-differential cross section of 5 He is obtained, which is expressed in the form of Legendre coefficients. In the case of low incident energies, the configuration is the dominant part in the reaction processes.

The calculated result indicates that the forward peaked angular distribution of the composite particle emission is weaker than that of the emitted single nucleon due to pick-up nucleon from the Fermi sea. As an example, the reactions of n+ 14 N have been calculated, and the Legendre coefficients of d, t, 3 He,

and

5 He emissions are obtained respectively.

The results show that the forward tendency is decided by the average momentum per nucleon in the emitted composite particles. The larger the average momentum is, the stronger the forward tendency is.

114 Annual Report of China Institute of Atomic Energy 2005

56 Theoretical Analysis of Neutron Double-Differential

Cross Section of n+

14

N at 14.2 MeV

YAN Yu-liang, DUAN Jun-feng, SUN Xiao-jun, WANG Ji-min, ZHANG Jing-shang

By using a new reaction model for light nuclei, the double-differential cross section of n+ 14 N reactions at E n

=14.2 MeV have been analyzed. In the case of n+ 14 N reactions, the reaction mechanism is very complex, there are over one hundred opened partial reaction channels even at incident energy

E n

=14.2 MeV. The opened reaction channels are listed in detail. With LUNF code the model calculation is performed to analyze the double-differential cross sections of total outgoing neutron. The calculated results agree fairly well with the experimental data. The results indicate that the pre-equilibrium mechanism dominates the whole reaction processes, and the recoil effect in light nuclear reactions is essentially important. 5 He emission has been considered, but it is only a small contribution to the double-differential cross section at E n

=14.2 MeV.

57 Ni and Ni Alloys Fabricated by Spark Plasma Sintering System

*

LI Mei-juan, LIU Dan-min 1 , GOU Cheng, ZHANG Bai-sheng, CHEN Don-feng, LIU Yun-tao

( 1 Beijing University of Technology )

Generally the high temperature superconducting substrates of Ni and Ni alloys can be prepared by casting method and powder metallurgy method. The casting method has a weakness that a columnar or dendrite structure can be induced in the ingot, restricting the formation of preferred texture through rolling and annealing. The powder metallurgy method consisting of powder mixing, compaction, and sintering, is considered to be more complicated. Spark Plasma Sintering is a sintering technology developed in recent years. It has many inherent advantages compare with traditional sintering techniques, such as, 1)The fast heating and cooling rates; 2) Special sintering mechanics; 3) Lower Sintering temperature; 4) Better self-purification of the surface of the particle and sintering activity; 5) Simple operation system; 6) Wide application, the SPS system enables the sintering of metals, ceramics, polymers and the composite materials.

We fabricated a serious of high temperature superconducting substrate of Pure Ni by Spark Plasma Sintering

(SPS) system 3.20-MK-V for the first time, and successfully obtained high density Ni samples. The relationship between sintering temperature and

Fig. 1 Relationship between relative density of as-sintered pure Ni and sintering temperature

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 115 sample density was investigated. The relative densities of as-sintered pure Ni are plotted as a function of sintering temperature in Fig. 1. From Fig. 1 we can see that the sample relative density increases with the sintering temperature increasing.

* Supported by Nation “863” Program of China(2002AA306221)

58 Structural Study on Zr

0.9

Ti

0.1

MnCr Laves Deuterides

by Neutron Powder Diffraction

*

SUN Kai, LIU Yu-tao, WANG Hong-li , GUO Xiu-mei 1 , WU Er-dong 1

(1 Institute of Metal Research , Chinese Academy of Sciences , Shenyang 110016, China )

The Zr and Ti elements can combine with 3d transition metals to form AB

2

type Laves phase alloys in one of the two structures, namely cubic C15 and hexagonal C14 structures. In the Laves phase, all interstices are formed by tetrahedrons. As a result, the hydrogen absorption of these Laves phases increases the size of the unit cell continuously without changing the host structure. This property makes these Laves phase as a model substance for structural investigation of hydrogen sorption. There are three types of tetrahedral interstices in each formula unit of Laves phase, i.e. 12 A

2

B

2

-type, 4 AB

3

-type and 1

B

4

-type. In previous studies of the hydrogen occupation of the alloys, it was shown that hydrogen atoms can only take less than half of the totally 17 interstices per formula unit, and they prefer to occupy the

A

2

B

2

-type and AB

3

-type interstices, while B

4

-type are never occupied.

In these Laves phase alloys, the alloys of (Zr x

Ti

1- x

) (Mn y

Cr

1- y

)

2

with C14 structure have exhibited good properties for hydrogen storage. We have recently studied the hydrogen activation and sorption properties of one of these alloys with the composition of (Zr x

Ti

1- x

)MnCr.

The Zr

0.9

Ti

0.1

MnCr alloy was prepared by arc melting 99.9% pure raw materials under an argon atmosphere. The sample was encapsulated in quartz tube with argon and annealed at 900 ℃ for 72 hours.

6.5 g sample was activated using 99.9% pure D

2

gas in a Sieverts-type hydrogenator at about 150 kPa and

200 ℃ . During deuterization, the sample was contained in a cylindrical null-matrix Ti-Zr alloy container cell. The surface of the cell was passivated by deliberately oxidation, and tested under the working conditions.

The XRD measurement for the alloy indicates that the Zr

0.9

Ti

0.1

MnCr is single-phase C14-Laves structure with a =5.036 Å(1 Å=0.1 nm), c =8.271 Å. The Ti/Zr atoms are randomly located in 4f ( z =0.44) site, and Mn/Cr atoms in 2a and 6h ( x =0.83) site under space group P6

3

/mmc. As shown in the neutron diffraction pattern, an obvious feature of the deuterides is the existence of the strong background and a broad diffuse hump. However, The crystallized deuteride phase has the C14-type Laves structure in

P6

3

/mmc. The D atoms randomly occupy four tetrahedral interstices of 6h

1

( x =0.42), 6h

2

( x =0.17),

12k( x =0.42, z =0.66) and 24l(0.22,1.03,0.08) formed by two Ti/Zr atoms and two Mn/Cr atoms. The refined D occupancies of different interstices for the deuterides could vary significantly, but the variations of the refined positional parameters for D atoms in the three deuterides remain within the last decimal figures. This situation is similar to that of the D occupancies in ZrV

2

D x

.

The D occupancy of different tetrahedron sites is mainly determined by atom affinity and interstitial size. In the present work, only A

2

B

2 sites are occupied, but not with equal probability. The differences in atom affinity and interstitial size for A

2

B

2

sites in the Zr

0.9

Ti

0.1

MnCrD

3.5

may be indicated by the distance

116 Annual Report of China Institute of Atomic Energy 2005 between the center of the interstices and four atoms forming the tetrahedron. The minimum distance at 6h

1

,

12k, 24l and 6h

2

sites is 2.064, 1.939, 1.818 and 1.633 Å, respectively. Moreover, the minimum distance at 6h

1 and 12k is closer to “A” atoms, so the D atoms entering 6h

1 and 12k sites can form more stable deuteride than entering 24l and 6h

2

sites, at which the minimum distance is closer to “B” atoms. This analysis is consistent with neutron diffraction results.

* Supported by President Foundation of China Institute of Atomic Energy

59 Structural Study on Ti-Mo Deuterides

SUN Kai, LIU Yu-tao, WANG Hong-li, GUO Xiu-mei 1 , WU Er-dong 1

(1 Institute of Metal Research , Chinese Academy of Sciences , Shenyang 110016, China )

The interaction between Ti and H has been widely studied under atmospheric or high pressure for decades. After absorbing hydrogen, the hcp

-Ti can form a solid solution of bcc

-TiH x

, then turn into bct

-TiH or fcc

-TiH

2- y

hydrides at a proper temperature. The

-phase or

-phase hydride precipitations cause strong embrittlement due to a large volume expansion in the phase transitions. The high temperature phase

-Ti has bcc structure. Mo is a common

-Ti stabilizing element. It decreases the

to

-Ti phase transition temperature to room temperature. Moreover, like

-Ti, Ti-Mo alloy can absorb a mass of hydrogen to form stable

-phase hydride at moderate pressure and temperature, and the hydride has relatively higher strength. Thanks to these properties, some studies have been carried out for the hydrogen-storage properties of the Ti-Mo alloys. However, so far, the studies on the Ti-Mo alloys and their hydrides are still insufficient, especially on the structural studies. Recently, we have studied the deuteride of a Ti-33a.t.%Mo alloy by neutron and X-ray powder diffraction, and revealed some interesting structural information of the deuteride. In this work, we extend our structural studies to a series of deuterides of the Ti-Mo alloys with Mo contents ranging from 5 to 40 a.t.% using neutron diffraction techniques. After deuterization at about 150 kPa, the saturated deuterides containing about 1.8 to 1.9 deuterium per alloy atom with a

-phase titanium hydride type of structure have formed. The lattice constants of the deuterides decrease consistently with the increase of the Mo contents.

The XRD measurements suggest that structures of the alloys are generally consistent with the Ti-Mo phase diagram. The Ti-Mo alloy containing 5 a.t.%Mo is composed of hcp

-phase (6 w.t.%) and bcc

-phase. Only single

-phase was observed in the XRD patterns of other Ti-Mo alloys with higher Mo contents. Regardless the initial structures of the alloys, only single

-phase titanium hydride type of deuterides were formed after deuterization. The results of neutron diffraction show that the peaks corresponding to a fcc unit cell can be identified and fitted by a structure of the

-hydride of Ti metal in all these patterns. In the

-hydride type of structure under space group Fm-3m, the Ti and Mo atoms are randomly located in the 0, 0, 0 and other three equivalent positions (4a), whereas the deuterium atoms can be situated in the tetragonal interstitial sites of 1/4, 1/4, 1/4 and other seven equivalent positions (8c).

A dislocation-induced lattice deformation model had been used to correct the line broadening of the diffraction patterns of one of the Ti-Mo alloy deuterides, and revealed some interesting information on the lattice deformation of the deuteride. The levels and anisotropies of the lattice deformations of the deuterides have both decreased as the increasing Mo content in the deuterides. The enhanced strength of the deuterides due to the alloying Mo is likely to contribute to the reduced lattice deformation of the

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 117 deuterides.

60 β-NMR Study on

29

P (I

=1/2

+

, T

1/2

=4.14 s)

*

ZHOU Dong-mei, ZHENG Yong-nan, YUAN Da-qing, WANG Zhi-qiang, LUO Hai-long, ZUO Yi,

LIU Meng, XU Guo-ji, ZHU Sheng-yun

A. Navin and some others have confirmed that there exists halo structure in 26,27,28 P isotopes. Chen

Fence and some others got the same result with different theoretical models. At the same time, they plotted the total density distribution of protons and neutrons of 25-31 P changes with the radius. The figures showed that the proton density distribution of 25-31 P has long tail and the tail decreases as the mass number increases. The proton density distribution of 29 P obviously has long tail.

The last proton separation energy of β-emitting nuclei 29 P is 2.748 MeV. Its last proton and neutron are in 2 s

1/2 and 1 d

5/2

orbits, separately. At present, only Wei Yibin et al. studied the structure of 29 P

( I

=1/2 + , T

1/2

=4.14 s) with momentum density distribution and they got the result that the proton-skin structure may exists in 29 P. Our present work is to measure the magnetic moment of 29 P

 and study its structure on 2×1.7 MV tandem accelerator with β-NMR technology.

The 29 P ( I

=1/2 + , T

1/2

=4.14 s)

 nuclei were produced through the 28 Si(d,n) 29 P reaction with an incident deuteron beam from the 2×1.7 MV tandem accelerator. SiO

2

target with a thickness of 40

 g/cm 2 was used. The SiO

2

was evaporated in vacuum on the 0.5 mm thick Ti backing. The target was attached on the target holder that was cooled by a water flow, which ensures the bombardment of a 5-10

 current. The glancing angle of the target was 5° to the incident beam. The incident deuteron energy was

E d

=3.0 MeV. The 29 P nuclei were recoiled into the single crystal Si stopper at the recoil angle of 15°-25° through a Cu collimator.

In order to control the change of polarization, a pulsed rf magnetic field H

1

= 0.5 Gs was applied perpendicular to the externally applied magnetic field H

0

. The modulation width is 0.2 kHz. In order to reduce un-wanted backgrounds the beam was pulsed and its width was 5 s and the repetition period was 9 s. A beam pulse was followed by a 500 ms rf pulse. The

-ray counting started at the end of the rf pulse and lasted to the next beam pulse.

A typical β-NMR spectrum was got for 29 P implanted into Si stopper at an externally applied magnetic field of 4.300 kG and at room temperature. A Gaussian fit of the measured β-NMR spectrum gave a resonance frequency of (8 079.7±0.2) kHz. Analysed From the measured resonant frequency and the diamagnetic correction, the magnetic moment can be easily deduced to be

μ = (1.234 6±0.000 3) nm.

The measured polarization was approximately 2.6% at the recoil angle of 15°-25°

.

The measured magnetic moment is less than that a half of the pure single particle resonance state calculated by single particle model, which demonstrates that the ground state of 29 P is not pure single particle state. There exists the configuration mixture. It is difficult to draw definite conclusion for the halo structure of 29 P only with the magnetic moment. Further study is undergoing.

* Supported by National Natural Science Foundation of China ( 10435010 ) and Superintendent Foundation of Department of Nuclear Physics

118 Annual Report of China Institute of Atomic Energy 2005

61 Proton-Skin Structure in

17

F

*

ZHOU Dong-mei, ZHANG Xi-zhen, ZHANG Zhun-lei, ZHENG Yong-nan,

YUAN Da-qing, ZUO Yi, LIU Meng, ZHU Sheng-yun

In the present work, we studied the quadrupole resonance in the proton drip line nucleus, 17 F, using the self-consistent Hartree-Fock calculation plus the random phase approximation with Skyrme interactions. Including both the isoscalar and the isovector correlation the RPA response function is calculated in the coordinate space so as to take properly into account the continuum effect.

The RPA strength function is

  n n Q 0

2  

E

E n

 

1

Im Tr

π

In Eq.(1) , Q expresses one-body operators, as Q

μ

Q G

RPA

( )

(1)

 i

 r Y r i

2

( )

i

for isoscalar quadrupole strength and Q

μ

  i

 z i 2μ

for isovector quadrupole strength.

Calculation result gives us the distribution of the quadrupole strength, as shown in Fig.1. By anaylsed Fig.1, we could see that the isoscalar and the isovector correlations and the isosalar giant quadrupole resonance are consistent with that given by the macroscopic collective model.

Fig . 1 Calculated RPA quadrupole strength of 17 F as a function of excitation energ y

From the result of particle-vibration coupling model with Hartree-Fock single-particle wave functions and random phase approximation response functions, we studied the proton effective charge of 17 F.

The core polarization charges for quadrupole transitions are defined as e pol

(IS)

1

2

 j Q

 

2,

 

0 j Q

 

2,

 

0 i i

1

(2)

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 119 e pol

(IV)

1

2

 j Q j Q

 

2,

 

1

 

2,

 

1 i i

1

 (3)

The proton and neutron core polarization charges are written as e pol

(p)

 e pol

(IS)

 e pol

(IV)

(4) e pol

(n)

 e pol

(IS)

 e pol

(IV)

(5)

Calculation result gives that when the last separation energy is 0.6 MeV the proton effective charge of orbit d

5/2 of 17 F is e eff p

1.23

e

.

We have measured the quadrupole moment of 17 F with

-NQR method before. From which the proton effective charge of e p eff 

1.12

0.07

e

was deduced.

Our theoretical value is consistent with the upper limit of our experimental value. As to nuclei 17 F, which is consist of the core of 16 O and the last proton in orbit d

5/2

, its proton effective charge might be small.

Because of high Coulomb and centrifugal barriers the proton halo could not appear in 17 F ground state.

Our experimental value of proton effective charge e eff p

  e demonstrates that there exists a proton skin in the I   +

17 F.

* Supported by National Science Foundation of China ( 10435010, 10175088 ) and Superintendent fund of Department of Nuclear Physics

62 Investigation of Hydrogen Alloys by Positron Annihilation and PAC

ZUO Yi, ZHENG Yong-nan, ZHOU Dong-mei, YUAN Da-qing, LIU Meng,

WANG Zhao-hui, DUAN Xiao, ZHU Sheng-yun

In the present work two hydrogen storage alloys Pd

0.75

Ag

0.25

and LaNi

4.25

Al

0.75 are studied by the positron annihilation and perturbed angular correlation techniques.

The Pd

0.75

Ag

0.25

H x alloys with a hydrogen concentration ranging from 0 to 0.35 are investigated by the positron annihilation lifetime measurement method in the temperature region between 77-295 K. The measured lifetime spectra are well characterized by two positron annihilation lifetimes. The short lifetime

τ

1 is ascribed to the free positron annihilation lifetime and is independent of temperature and hydrogen concentration. This indicates that no phase transition occurs. The long lifetime

τ

2

is attributed to the one of annihilation of positrons trapped by the defects of hydrogen bubbles. τ

2 and its intensity I

2 do not vary with the temperature, while

τ

2

increases and I

2 decreases with the increase of hydrogen concentration. The obtained results reveal the growth of the hydrogen bubbles in size and the reduction of bubble concentration with the increase of the hydrogen concentration.

The Pd

0.75

Ag

0.25

H x alloys are also studied by the perturbed angular correlation method at room temperature. The quadrupole interaction frequency is determined to be zero for the Pd

0.75

Ag

0.25

alloy with no hydrogen charging, showing that the

111

Ag/

111

Cd probe nuclei are located in the substitutional site in

120 Annual Report of China Institute of Atomic Energy 2005 the Pd

0.75

Ag

0.25

alloy with a fcc structure, and do not experience any electric field gradient interaction.

After hydrogen charging a part of the probe nuclei feel perturbation from hydrogen bubble defects, and the quadrupole interactions are observed at the hydrogen concentrations of x =0.1, 0.2 and 0.35. The experimental results illustrate that the quadrupole interaction frequency and its intensity decrease with the increase of hydrogen concentration, demonstrating the growth of the hydrogen bubble size and the reduction of bubble concentration with the hydrogen concentration increase. The width of the quadrupole interaction frequency distribution is measured as well, which shows the hydrogen diffusion effect to some extent. The measured widths tell us that diffusion effect is less with the hydrogen concentration increase.

The experimental results obtained by the positron annihilation and perturbed angular correlation are in good agreement. In addition the hydrogen diffusion is detected by the perturbed angular correlation.

The perturbed angular correlation is used to investigate at room temperature the LaNi

4.25

Al

0.75

H x alloys with the concentrations of x = 0 and 3. Only one quadrupole interaction frequency of

ω

1

= 14.39

Mrad/s ( V 1 zz

= 10.1

× 10 17 V/cm 2 ) is detected for the LaNi

4.25

Al

0.75

alloy without hydrogen charging. An additional quadrupole interaction frequency of ω

2

= 20.63 Mrad/s ( V 2 zz

= 14.48

× 10 17 V/cm 2 ) appears in

LaNi

4.25

Al

0.75

H x with the hydrogen concentration of x = 3. The fraction of ω

1 is f

1

= 25.1%, and f

2

= 74.9% for ω

2

. The measured ω

1 is ascribed to the probe nuclei whose neighboring interstitial site are filled with no hydrogen, and

ω

2 is interpreted as related to the probe nuclei in the basal plane next to hydrogen-filled octahedral interstitial sites in the same plane. The experimental results show that hydrogen fills preferably the octahedral interstitials, and the partial substitution of Al for Ni would cause the lattice expansion and deformation, which favors the filling of hydrogen into octahedral interstitials.

The Pd

0.75

Ag

0.25

H x

alloys are investigated by both the positron annihilation and perturbed angular correlation for the first time and the experimental results obtained by them are well consistent. The present work first investigates the LaNi

4.25

Al

0.75

H x

alloys with 140 La140 Ce probe nuclei directly produced in the alloys by nuclear reaction, and observe the preferable filling of hydrogen into octahedral interstitials

.

* Supported by CNNC Fundation ( 4160205030103 )

63 Measurement of

36

Cl With Gas-Filled Time-of-Flight Method

GUAN Yong-jing, HE Ming, JIANG Shan, RUAN Xiang-dong 1 ,

WANG Hui-Juan 1 , WU Shao-yong, DONG Ke-jun

(1 Physics Science and Engineering Technology Department , Guangxi University , Nanning 530004, China )

Some improvements of the gas-filled time-of-flight detector system were achieved. The thickness of the entrance window is decreased to 0.5 micron. A larger area surface barrier detector with the diameter of

40 mm was used to enlarge the detection efficiency. The detection efficiency is higher than 70%. A series of AgCl standard samples ( n ( 36 Cl)/ n (Cl) about 1 0 -

9 , 10

10 , 10

11 and 10

13 ) were measured by the gas-filled time-of-flight detector with the incidence energies of 64, 48, 36 and 33 MeV, respectively.

Experimental results show that 36 S and 36 Cl was identified just from the TOF spectrum for the

AgCl( n ( 36 Cl)/ n (Cl) about 10

11 ) standard sample with the above energies whether the 36 S content in the samples is lower than 10

10 . 36 S and 36 Cl from the AgCl ( n ( 36 Cl)/ n (Cl) about 10

14 ) sample can be

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 121 identified after gated with the incidence energy about 40 MeV. The advantage of the gas-filled time-of-flight method is the higher sensitivity since one more signal can be provided.

64 Measurement of Trace Potassium Contaminations

With Accelerator Mass Spectrometry

*

DONG Ke-jun, HE Ming, JIANG Shan, WONG Henry Tsz-king 1 , QIU Jiu-zi 2 ,

GUAN Yong-jing, WU Shao-yong, LI Shi-hong, LIN Min, ZHOU Duo,

YIN Xin-yi, PENG Bo 3 , DING Yan-qiu 3 , JU Zhi-ping 3 , YUAN Jian

(1 Institute of Physics Academia Sinica , Taibei 11529, China ;

2 Armed Police Force Academy , Langfang 065000, China ; 3 Guangxi University , Nanning 530004, China )

It is important to measure the rare long-life radioisotopes such as 40 K, U and Th etc. in neutrino detector material. A new method based on Accelerator Mass Spectrometry (AMS) has been developed for measurement of potassium in CsI and LS (Liquid Scintillators). A series of 40 K standard samples were made and chemical procedures were explored for LS sample to make the samples suitable for AMS measurement. The experiment result shows that the content of 40 K is about 1×10 -

10 g/g in CsI, about

1.3×10 -

13 g/g in LS and about 7×10

16 g/g in LS without PPO(1,3,5-trimethylbenzene), respectively.

* Supported by National Natural Science Foundation of China

65 The Measurement of

182

Hf With AMS

QIU Jiu-zi 1 , JIANG Shan, HE Ming, YIN Xin-yi, DONG Ke-jun,

GUAN Yong-jing, WU Shao-yong , YUAN Jian , YANG Bing-fan

( 1 Armed Police Force Academy, Langfang 065000 , China )

82 Hf is a long-lived radionuclide of particular interest for the early history of the solar system [1, 2] .

The measurement of 182 Hf has been performed with a 13 MV tandem accelerator(HI-13) mass spectrometry at China Institute of Atomic Energy.

In this work, 182 Hf was produced through irradiating 50 mg HfO

2

, enriched in 180 Hf to 98.3%, with the high neutron flux of the heavy water research reactor at China Institute of Atomic Energy for eighteen days. After the irradiation, 182 Hf/ 180 Hf atom ratio in the sample measured with a thermal ionization mass spectrometry (TIMS) was (1.628±0.011)×10

6 . Standard samples with 182 Hf/ 180 Hf atom ratios of

(3.34±0.05)×10

8 and (3.30±0.05)×10

10 were prepared using irradiated sample and enriched 180 Hf O

2 respectively.

Although the main interference, the stable isobar 182 W, can be significantly reduced by extracting

HfF

5

from ion source [3] , chemical separation is necessary for further improving the sensitivity. For chemical separation, the irradiated sample was prepared to chemical formation of HfF

4

first, then HfF

4

122 Annual Report of China Institute of Atomic Energy 2005 was dissolved in 50 ml 1 M HF solution for column separation. A 1ml sample solution was loaded onto an anion exchange column.

The column was rinsed with 10 ml of 1 M HF. Hf was then eluted by 30 ml of

0.01 M HF-9 M HCl, while W and Ta retained on the column. Tracer experiments showed that the average chemical yield of Hf was greater than 95%, and the decontamination factors for W and Ta were larger than

1 000.

The HfF

4

powder was pressed into the target holder, the HfF

5

¯ ions were extracted from MC-SNICS ion source and Hf 9+ ions with energy of 78 MeV was selected by the analyzing magnet. A golden-silicon surface barrier detector (as energy detector) combined with a time of flight detector are used for the ion identification. Energy-time of flight two-dimension spectra of 182 Hf is shown in Fig.1. A ion source yield of about 0.34% for HfF

5

¯ and a transmission efficiency of about 0.50% for 182 Hf were obtained in our

AMS facility. In sum the overall efficiency for 182 Hf measurements with our setup was about 1.7×10

5 .

We can deduct 182 W contribution through the measurement of 183 W in the same sample. The detection limit of 182 Hf/ 180 Hf ratio was obtained to be 2.2×10 -

10 for our AMS facility.

Fig.1 Two-dimension spectrum of 182 Hf

References:

[1] NORMAN E B, SCHRAMM D N. Nature, 1983,304:515-517.

[2] VOCKENHUBER C, OBERLJ F, BICHLER M, et al. Physics Review Letters, 2004, 93:1 725 011-1 725 014.

[3] VOCKENHUBER C, BICHLER M, GOLSER R, et al. Nucl Instrum. Methods, B223-224:823-828.

66 Measurement of

36

Cl Content in Thermal Groundwater With AMS

HE Ming, JIANG Shan, WU Shao-yong, DONG Ke-jun, GUAN Yong-jing

The content of 36 Cl in the groundwater is one of the key data for judging the age of groundwater. The replenishment and the movement of groundwater can be obtained based on the age of the groundwater.

These values are crucial to its management and use.

Thermal groundwater is one of the important resources. In order to carry out the study of thermal

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 123 groundwater, we cooperate with China University of Geosciences to measure the content of 36 Cl in the thermal groundwater. the groundwater in the area of Beijing and Tianjin were collected. The AgCl, which is suitable for AMS measurement, was prepared from the groundwater by using chemical procedures, finally the content of 36 Cl in the samples were measured with AMS. The results shown that the 36 Cl/Cl ratios for most of samples are in the range of 4.4

10

13 to 2.5

10

14 , this range is reasonable for the groundwater. But there is one sample which the ratio of 36 Cl/Cl is obviously higher than this range. The high ratio maybe be relative to the groundwater surrounding content of U and Th, this will be affirmed further.

To get the age of the groundwater there are still some factors need be concerned such as the content of Cl

in the groundwater and the secular equilibrium value of 36 Cl. These date will be analysised in next step.

67 Preparation of

151

Sm AMS Standard Samples:

Chemical Separation of Eu From the Sample of Sm

YIN Xin-yi, ZHANG Jin-song 1 , HE Ming, JIANG Shan

(1 Nuclear Power Institute of China , Jiajiang 610005, China )

151 Sm with its half-life of 90 years is a long-lived radionuclide. It is very interesting for nuclear physics, environment sciences and life sciences to detect trace amounts of 151 Sm. AMS with high sensitivity is a kind of nuclear technique for the measurement of trace amounts of 151 Sm. AMS is a relative measurement method, which requires standard samples. The interference of Eu is very strong in the measurement of 151 Sm with AMS and Thermal Ionization Mass Spectrometry (TIMS), so chemical separation is necessary. The reducing method with zinc powder is used. The principle of this method is that europium can be more easily reduced than samarium and the characters of Eu 2+ and Sm 3+ are very different. The zinc powder reducing and P

204

resin extraction method were used to separate Eu in this paper. The procedure is presented as follows:

The reducing column was filled with 80-100 mesh zinc powder which was pretreated, and the extraction column was filled with P

204

resin, then the extraction column was washed and balanced with different concentration hydrochloric acid.

The pH of the sample solution was adjusted to 2-3, then the solution passed through the two columns with the elution velocity of 1.0 mL/min. The two columns were washed with 20 mL ionized water, and europium was eliminated from the extraction column with 20 mL 0.03 mol/L hydrochloric acid.

Then samarium was washed from the extraction column with 30 mL 2.0 mol/L, the extraction column was washed with 20 mL 6 mol/L hydrochloric acid eventrally. In order to eliminate europium as much as possible, the procedure was repeated for three times.

The sample solution after chemical separation was precipitated with saturated oxalic acid to form oxalic samarium. The precipitation was washed with 0.2% oxalic acid for three times and was calcined into oxides in the muffle with the temperature 900 ℃ for two hours.

The recovery efficiency of samarium for the chemical procedure is about 90%, and the decontamination factor of Eu is about 10 3 . The content of europium is less than 10 ppb after separation, which can satisfy AMS measurement.

124 Annual Report of China Institute of Atomic Energy 2005

68 Production of Sm Negative Ions for AMS Measurement

YIN Xin-yi, HE Ming , DONG Ke-jun, JIANG Shan

151 Sm with its half-life of 90 years is a long-lived radionuclide. It is very interesting for nuclear physics and environment science to detect trace amount of 151 Sm. But the content of Sm in samples is very low especially in biological samples (ppm-ppb), it is difficult for routine analyzing technique to detect trace amount of 151 Sm, so accelerator mass spectrometry (AMS) is the best choice for the measurement of Sm with high sensitivity. But Sm belongs to the rare earths, it can deteriorate the ionization efficiency of the ionizer because of its characteristics such as low vapor pressure and low work function. The phenomenon is called the ionizer poisoning, the current decreases rapidly. So resolving the problem of ionizer poisoning is the key factor for 151 Sm AMS measurement.

For the cesium sputter ion source, the ionization energy of Cs (3.89 eV) is lower than the work function of molybdenum (4.6 eV) as the ionizer element. Therefore the most outer electron of Cs easily transfers to the ionizer, and the ionization efficiency is almost 100% at the surface temperature of over 1

000 ℃ . Negative ions and neutral elements are ejected from the cathode by Cs + sputtering, then are extracted with a puller electrode. Sputtered neutral Sm atoms that stick to the ionizer deteriorate its ionization efficiency because the work function of Sm (2.7 eV) is lower than the ionization energy of Cs

(3.89 eV). The ionizer can’t operation stably for a long time, which is called the ionizer poisoning.

We have resolved the problem by using tungsten cathode, mixing samples with tungsten or molybdenum powder, and changing the depth of sample in the cathode. The design is based on the two ideas: 1) the ionizer surface should be free from being exposed to recoil samarium by covering the cathode surface with tungsten. 2) the solid angle formed by the cathode hole is almost equal to that of the center hole of the ionizer from the cathode. Thus we could control the emission angle from the cathode to the ionizer and restrict the poisoning effect.

As a result, damage to the ionizer decreased, and stable operation of the ion source was successfully achieved with a SmO

beam current of 105nA at CIAE HI-13 tandem AMS facility (the abundance of

154 Sm is 98.6%). And we can make a primary conclusion based on the experimental results, Sm

2

O

3 performed well. Moreover, Eu suppression can be achieved using Sm O -

ions. So Sm

2

O

3

may be the proper chemical form of Sm for the AMS measurement.

69 Measurement of

99

Tc Content in Environmental Sample With AMS

PENG Bo 1 , HE Ming, WU Shao-yong, GUAN Yong-jing, RUAN Xiang-dong 1 , JIANG Shan

(1 The Physics Department of Guangxi University , Nanning 540003, China )

In order to carry out the environmental application with 99 Tc, the measurement method for the water sample and soil sample in the environment have been preliminarily developed. One liter water sample and

10 grams soil sample were collected for sample preparation. In order to check the chemical recovery for the sample preparation, the 95 Tc m , which was produced by irradiation with proton, was used as a tracer, and ion-exchange resin named TEVA was used for effective removing background and Tc recovery during the sample preparation. After these chemical procedures, the Tc solution and a quantity of Nb solution

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 125 were mixed together and evoperated to dry, then this sample can be used for AMS measurement.

According to the results of the 95 Tc m tracer, the recoveres are about 90% and 50% for water sample and soil samples, respectively. Finally the content of 99 Tc in the samples was measured with AMS technique.

The results shown that the 99 Tc content in the water sample is about 10 11 L

1 , and 10 9 g

1 for soil sample, respectively.

70 Re-measured for Half-Life of

97

Zr

HUANG Dong-hui, WANG Ping-sheng, TIAN Wei-zhi,

NI Bang-fa, LIU Cun-xiong, ZHANG Gui-ying

The half-life of 97 Zr, used for the calculation of thermal/epithermal neutron flux ratio in k

0

-NAA, is re-determined using three measurement systems with different pulse processing principles. The result of

(16.755

0.013) h clarifies the discrepancy between two widely used literature values, (16.744

0.011) and

(16.90

0.05) h.

About 5 mg each of two pieces of high purity Zr foil (99.99%) were irradiated for 1.5 h in the Heavy

Water Research Reactor (HWRR) of CIAE. The thermal and epithermal neutron fluxes are 4

10 13 and

4

10 12 cm

2 •s -

1 , respectively, in the irradiation position. After 24 h decay, the activated samples were respectively measured on two HPGe detectors connected to three amplifier/analyzer systems. Time-series measurements were made on 658 and 743 keV peaks. The measurement systems and conditions are summarized in Table 1.

Table 1 Description of 97 Zr Half-life Measurement

No TDM NP ND T d

Corr mode

1a

1b

2a

2b

3a

3b

Detector/Amplifier

Canberra HPGe,35%,

1.8 keV/Canberra 2025

As above

As above

As above

Ortec GEM35-plus,

47%,1.8 keV

As above

ADC/MCA

Nucleus PCA-II

4k, Wilkinson

As above

Canberra 8713

8k, SUCAPP

As above

Ortec

DSPEC-plus

As above

99 h

170 h

99 h

170 h

106 h

158 h

29

47

30

48

34

47

SMI/s

1 500-

10 000

10 000

1 500-

10 000

10 000

1 500-

10 000

10 000

240

240,80

240

240,80

160

160,40

EM1, IM, LTE

EM1, IM, LTE

EM1, IM, LTE

EM1, IM, LTE

EM2, IM, LTE

EM2, IM, LTE

Note: SUCAPP is successive approximation; TDM is total duration of measurements; NP is number of points; SMI is single measurement interval;

ND is nominal distance of source-detector , mm; T d

is dead-time; EM is external source monitor, 1 for 54 Mn , 2 for 60 Co; IM is internal source monitor; LTE is life time extension.

In 1a and 2a, both external source monitor 54 Mn (834 keV) and LTE methods were used for dead-time corrections. When 724 and 756 keV peaks of 95 Zr have satisfactory statistics (about 80 h after the beginning of measurements), 95 Zr participated in the dead-time corrections as internal monitors. In 1b and 2b, after the series measurements at 240 mm position for 100 h, the sample was lowered to 80 mm position and the series measurements continued for another 70 h. In 3a and 3b, similar measurement procedure was used except that 60 Co, instead of 54 Mn, was used as an external source monitor. A least

126 Annual Report of China Institute of Atomic Energy 2005 square fitting on the natural logarithm of IM- or EM- or LTE- normalized 658/743 keV peak counting rates at the beginning moment of each counting interval versus decay time was used to obtain the half-life of 97 Zr.

Six sets of 97 Zr half-life data from three systems and two measurement durations using internal and external source monitors are listed on the left side of Table 2. The unweighted mean of the six, 16.755 h, is adopted as the final result. The standard deviation is 0.013 h. Six sets of 97 Zr half-life values by using

LTE dead-time corrections are also given on the right side of Table 2, for reference.

Table2 Results of 97 Zr half-life

No

1a

1b

2a

2b

3a

3b

658 keV

16.772

16.752

16.785

16.754

16.765

16.757

EM/IM T d

correction

743 keV

16.76

16.75

16.768

16.728

16.74

16.727

Peak Av.

16.766

16.751

16.776

16.741

16.752

16.742

658 keV

16.916

16.842

16.913

16.832

16.772

16.758

LTE T d

correction

743 keV

16.904

16.841

16.895

16.807

16.748

16.733

Peak Av.

16.91

16.841

16.904

16.82

16.76

16.745

The simplified decay scheme of 97 Zr97 Nb m 97 Nb is shown in Fig. 1. After irradiation for 1.5 h and decay for 24 h, the intensities of 658 and 743 keV peaks reach complete equilibrium with 97 Zr. The half-life of 97 Zr is therefore determined by the time-series measurements of these two peaks.

Fig. 1 Simplified decay scheme of 97 Zr97 Nb m

97 Nb

The resulting value of 97 Zr half-life, (16.755

0.013) h, is in excellent agreement with the literature value of (16.744

0.011) h.

IM/EM normalized 658/743 keV peak counting rates, decay-corrected with the half-life of 16.755 h to the very beginning moment of the series measurements, are plotted against decay time, as shown in Fig.

2. More than 98% of total points (230 out of 234) fall within

1% variation interval and 100% points fall within

2% variation interval, confirming the reliability of the result.

Although measurements 1b, 2b, and 3b have the advantage of longer total duration of measurements

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 127 compared with 1a, 2a, and 3a, the change in counting position and the relatively small 658/743 keV peaks superimposing on the high continuum of 724/756 keV

-rays may introduce additional non-statistic (as well as statistic) uncertainties in the second half of 1b, 2b and 3b measurements. Therefore the unweighted average of all the six data is adopted as the result of present work. As shown in Table 3, the reproducibility and consistency of 658 and 743 keV efficiency ratios between two counting positions used in 1b, 2b, and 3b indicate the reliability of the two counting position relay method.

No.

7

8

AV

RSD, %

1

2

3

4

5

6

Fig. 2 Decay-corrected (658+743) keV peak counting rate vs decay time

Table 3 Normalized counting rate ratios between two geometries

PCA-II, 4K

658 keV 743 keV

8.412

8.441

8.386

8.441

8.410

8.439

8.374

8.422

8.392

8.398

8.436

8.423

8.382

8.451

8.420

0.3

8.354

8.399

8.400

0.3

Canberra 8713, 8K

658 keV 743 keV

8.413

8.456

8.367

8.453

8.362

8.382

8.402

8.454

8.489

8.453

8.462

8.416

8.389

8.393

8.402

0.4

8.413

8.461

8.444

0.4

Ortec DSPEC-Plus, 8K

658 keV 743 keV

13.442

13.414

13.574

13.500

13.471

13.501

13.381

13.431

13.508

13.479

13.470

13.363

13.381

13.431

13.464

0.5

13.512

13.271

13.427

0.6

128 Annual Report of China Institute of Atomic Energy 2005

As shown in Table 2, the half-life values obtained by using IM/EM on three systems representing three generations of pulse processing strategies, Wilkinson (constant-current discharge), successive approximation, and digital DSPEC-Plus, agree with each other within uncertainty limits, further consolidating the result.

71 Study of Surface Loss Process on a Simulated Stainless Steel Material by Thin Layer Activation

HUANG dong-hui, WANG Ping-sheng, TIAN Wei-zhi,

NI Bang-fa, LIU Cun-xiong, ZHANG Gui-ying

Taking the advantages of high sensitivity, non-destruction, and the capability of on-line measurement at favorable conditions, thin layer activation (TLA) is recognized as a method of choice in the study on surface loss processes of various materials. In this work, a stainless steel material was studied by TLA with two tracers produced via reactions on Fe and Cr using 9 MeV protons. The advantages of TLA for materials consisting of multiple elements are discussed.

1 Experimental

1.1 Sample preparation

The calibration sample package consisting of about 1 cm×1 cm in area and 5 μm in thickness each of

40 stainless steel slices was packed by aluminium foil. The thickness of slices was determined by accurately measuring the area and weight. A test stainless steel sample of about 1 cm×1 cm in area and 5 mm in thickness was prepared for simulated wear study.

1.2 Sample activation

The calibration sample package and the test sample were separately activated using 56 Fe (p, n) 56 Co,

52 Cr (p, n) 52 Mn reactions in the left 10 ° beam line of HI-13 Tandem Accelerator at CIAE. The energy of the incident protons was 9 MeV and the beam current was about 1

A. The integrals charge for the calibration sample package and the test sample were each 4 000

C.

1.3 Establishment of calibration function

After activation, the calibration sample package was unpacked. Each slice was measured for the specific peak counting rates of the tracer nuclides 56 Co and 52 Mn. The calibration function of loss thickness vs relative residual radioactivity was established.

1.4 Simulated wear experiment

For simulated wear study, a home-made grinding machine was built. The activated test stainless steel sample was step-wisely grinded with about 5-10 μm for each grinding. Both the weight of the sample and the counting rates of the specific gamma-rays of the two tracers were taken before and after each grinding.

1.5 The measurement of radiotracers

The measurement system consists of a HPGe detector (energy resolution is 1.9 keV, the relative efficiency is 47%) and an Ortec DESPEC-PLUS Unit. The full energy peaks 846.7 keV for 56 Co and 743 keV for 52 Mn for all sample weighs were measured at a fixed (or convertible) geometry.

The counting rate measurement of the γ-rays of 847, 743 keV from two main components (Fe and Cr) of activated stainless-steel samples was performed. The calibration curve, which is the relation between

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

·

Nuclear Physics 129 thickness loss and residual radioactivity, was obtained as shown in Fig. 1.

In simulated experiment, the relative deviation between the wear thickness values from direct weighing and TLA using the established calibration curve is well within 5%-10%, an uncertainty acceptable for most applications, as shown in Table 1.

56 Fe (n,γ) 56 Co

Fig. 1 Calibration curve of the stainless steel

◆ —744 keV peak ; ■—847 keV peak

For the wear measurement of materials with multiple components, TLA is not only applicable but also advantageous in that the wear thickness values obtained from different tracers offer additional reliability by crosscheck of each other, and the differences in half-life and depth profile of different tracers may provide the users with greater flexibility in the interested range of wear thickness and the duration of wear study.

Table 1 Comparison results between direct weighing and TLA method

52 Cr (n, γ) 52 Mn

Thickness from

No. Activity left for Thickness from Relative Activity left for Thickness Relative weighing

1

2

3

4

5

6

0.000

22.413

33.074

40.671

49.189

55.315

847 keV peak

100.00

57.42

39.93

26.86

19.10

10.85

curve

0.00

21.35

31.92

41.92

48.98

58.31

deviation/ %

0.00

4.74

3.49

3.07

0.42

5.42

744 keV peak

100.00

48.90

29.56

15.83

8.77

3.57

from curve deviation / %

0

20.31

0.00

9.38

31.25

41.54

48.81

56.69

5.52

2.14

0.77

2.49

72 Study on Real-Time Wear Measurement of Piston-Ring and Cylinder-Bore in an Engine Using Thin Layer Activation Method

130 Annual Report of China Institute of Atomic Energy 2005

HUANG Dong-hui, WANG Ping-sheng, TIAN Wei-zhi,

NI Bang-fa, ZHANG Gui-ying, LIU Cun-xiong

Wear of the piston-ring and the cylinder-bore in a diesel engine was simultaneously measured , first time in our country , by using thin layer activation method. The feasibility of the on-line measurement method was verified.

1 Experiments

1.1 Activation of piston-ring and cylinder-bore

The piston-ring and cylinder-bore of a diesel engine were activated using 56 Fe (p, n) 56 Co, 52 Cr (p, n)

52 Mn reactions in the left 10 0 beam line of HI-13 Tandem Accelerator at CIAE. The energy of the incident protons is 9 MeV and the beam current is about 0.7

A. The integral charge of the piston-ring and cylinder-bore is 20 000 and 3 000

C, respectively, the total radioactivities produced are 750 kBq (20.3

µCi) and 722 kBq (19.5 µCi) for 56 Co and 52 Mn, respectively.

There are two activation spots in each of the piston-ring and cylinder-bore. Another set of piston-ring and cylinder-bore was activated at the same conditions for calibration.

1.2 Engine and accessorial facilities for experiment

The engine used in this work is a ZS1105 diesel engine from market. The rating power is 13.3 kW, and the rotation speed is 2 200 r/min. The accessorial facilities for the experiment include an electrical generator as load, an oil pump for oil circulation, an engine control panel consisting of a power meter, a current meter, a voltage meter, etc.

1.3 Experiment system

The experiment system consists of a 0.23 L lubrication oil cup on the top of a HPGe detector. The radioisotopes of 56 Co and 52 Mn in the oil cup were determined by a gamma-ray spectrometer consisting of a Canberra HPGe detector (relative efficiency 25%, energy resolution 3.0) and an Ortect DESPEC-Plus

Digit Unit. Fig.1 is a schematic diagram of the experiment system.

Fig. 1 Experiment system

1.4 Real-time determination for wear of piston-ring and cylinder bore by TLA

During experimental operation, the full energy peaks of the radiotraces 56 Co(half life is 77.23 days, the energy of γ-ray is 846.8 keV(99.9%)) and 52 Mn(half life is 5.59 days, the energy of γ-ray is 744.2 keV(90.0%)) were measured continuously with each counting interval of 300 s. The real-time wear

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

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Nuclear Physics 131 measurement for the first piston-ring and cylinder-bore was carried out at 5 different operation conditions: low speed without load (I), middle speed without load (II), low speed with full load (III), high speed with full load (IV) and engine shutdown while oil circulating (V). The basic engine operation parameters are shown in Table 1.

Table 1 Basic engine operation parameters

Operation state

I

II

III

IV

V

Load Power/W Voltage/V Current/A

0

0

Full

Full

0

0

0

4 900

5 700

0

160

380

280

352

0

0

0

17.5

16.2

0

Rotation speed/

(r•mi n -

1 )

1 100

1 700

1 460

1 770

0

Oil Temp./ ℃ Cooling water Temp./ ℃

57

62

73

50

50

67

78

62

40

40

2 Results

Tables 2 and 3 show the results for the wear of the piston-ring and cylinder-bore in the five operation conditions mentioned above.

Table 2 Wear of piston-ring

State Time/h Radioactivity loss /% Accumulated wear/µm Wear in interval/µm Wear rate/(µm/h)

I

II

4.0

2.0

0.000

0.882

0.000

0.531

0.000

0.531

0.000

0.000

III

IV

V

2.5

2.5

0.5

34.224

64.393

64.652

28.505

59.824

59.824

27.974

31.319

0.000

11.190

12.528

0.000

State Time/h

I 4.0

II

III

IV

V

2.0

2.5

2.5

0.5

Radioactivity loss/%

Table 3 Wear of cylinder-bore

Accumulated wear/µm Wear in interval/µm

0.103 0.044 0.044

0.170

1.030

2.510

2.510

0.073

0.443

1.079

1.079

0.029

0.370

0.636

0.000

Wear rate/(µm/h)

0.000

0.000

0.148

0.255

0.000

3 Discussion

In this work, charged particle induced thin layer activation was used for both the piston-ring and the cylinder-bore. Compared with the reactor neutron bulk activation ( 98 Mo (n,γ) 99 Mo) for piston-ring used in the similar study [1] by Schneider of US General Motor research and development center, the total radiation dose is largely reduced. The total radioactivity in Schneider’s work is 300 µCi, compared to 19 µCi in this work.

The 9 MeV energy of incident protons used for the two activation reactions enables > 90% of the radiotracers distributed in the interested thickness range (80-100 µm), and this proton energy is also easily available for HI-13 tandem. The beam current of 0.7 µA is a good compromise between available beam

132 Annual Report of China Institute of Atomic Energy 2005 time and the integrity of the activated material.

One of the preconditions of TLA method is that the wear debris should be homogeneously distributed in the lubrication oil. The high speed lubrication oil pumping (10 s circulation rate) used in this work satisfies this precondition. Besides, instead of campaniform cup used by Schneider, a flat-bottom cup was used to avoid the “dead volume” during oil circulation, though there may be some sacrifice in the solid angle.

The minimum detectable wear thicknesses are 9 and 100 nm for cylinder-bore and piston-ring, respectively, based on the background counts at interest peak regions.

4 Conclusions

Simultaneous and real-time wear measurement of the piston-ring and cylinder-bore of a diesel engine was studied, for the first time in our country, using thin layer activation (TLA) method at five different operation conditions. The feasibility of TLA method is verified.

Compared with the previous work by Schneider, some improvements are achieved: 1) Charged particle thin layer activation, instead of reactor neutron bulk activation, was used for the piston ring, resulting in 100 times’ lower gross radiation dose while keeping the same sensitivity; 2) The energy and current of the proton beam used in this work ensures a good compromise between acceptable beam time and the integrity of the activated material; 3) The use of the high speed oil pumping and the flat-bottom cup ensures the satisfaction of the two important preconditions, homogeneous distribution of wear debris in the lubrication oil and “dead volume”-free during circulation.

As first experiment, a very strict dose control was adopted in this work. After assembly, the radiation dose in the position closest to the engine was measured to be less than 15 µGy/h. If the total tracer activity increases by 10 times, the dose will be at most 150 µGy/h (allowing 5 h operation at nearest position, more than enough). A 10 time efficiency increase is also easily achievable by using larger detector and oil cup. Therefore, there is at least a room for 100 time improvement in sensitivity compared to this work, that makes the minimum detectable wear being 0.1 and 1 nm for cylinder-bore and piston-ring, respectively. The method can therefore be used for on-line wear measurement of engines with better quality piston-ring and cylinder-bore (smaller wear rate) and larger oil tank (smaller fraction of oil in measuring cup).

Reference:

[1] ERIC W S, DANIELl H B. Radiotracer method for measuring real-time piston-ring and cylinder-bore wear in spark-ignition engines. Nuclear Instruments and Methods in Physics Research, A559-563, 2003.

73 Study on Sources of PM2.5 Inhalable Air Particles

From Liangxiang by PIXE

ZHANG Gui-ying, NI Bang-fa, TIAN Wei-zhi, David D. Cohen 1 , Eduard Stelcer 1 , Olga Hawas 1 ,

WANG Ping-sheng, HUANG Dong-hui, LIU Cun-xiong, LI De-hong

( 1 Australia Nuclear Science and Technique Organization )

Fifteen PM 2.5 aerosol samples collected during 27 January to 11 March 2005 from a Middle School

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

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Nuclear Physics 133 in Fangshan District, Beijing, have been analyzed using PIXE in Australia Nuclear Science and Technique

Organization. Multielements, including those hardly available by INAA, such as Si, S and Pb, were determined. Elemental data were interpreted using statistic methods.

The contents of black carbon in these aerosol samples were also determined to be 3.3 µg/m 3 and 6.7

µg/m 3 for median and maximum values, respectively, by using a “Smokestain Reflectmeter”. Black carbon content was typically (10.9

3.6)% of the total average PM 2.5 mass, indicating that black carbon was one of the major contamination sources.

Trace elements, including F, Na, Al, Si, S, Cl, K, Ca, Ti, Mn, Fe, Co, Ni, Cu, Zn, Br and Pb, were determined with detection limits close to or below 1 ng/m 3 . By using mass re-construction technique, the average PM2.5 percentage composition by weight was estimated to be around (19.6

5.7)% ammonium sulfate, (20.5

8.3)% soil, (4.9

1.2)% salinity and (0.9

0.8)% smoke.

The source fingerprinting of major events at a given site can be achieved quite easily through time series plots of the volume concentrations of elements determined. Fig. 1 shows K and S volume concentrations measured during the three-month period from 27 January to 11 March 2005 at a Middle

School in Fangshan District, Beijing. The highest peaks at February 16, the nearest sampling day of

Chinese Spring Festival, clearly attributed to firework display. The K peak on February 16 is 1 694 ng/m 3 ,

7.2 times higher than the peak on February 7. The similar trend can be observed in the time-series data for

S. Figure 2 shows there are strong correlations between elements associated with soil.

Fig. 1 Time series plot of PM2.5 nssK and nssS

◆— nssK ;■— nssS

134 Annual Report of China Institute of Atomic Energy 2005

Fig. 2 Correlation plot for PM2.5 soil elements

Two dimensional element to element plots can also be used to identify possible sources. For example, a plot of Zn against Pb and a plot of Br against Pb (showed in Fig. 3 and Fig. 4) shows a positive correlation in low-concentration region. This correlation may reflect there is still gasoline associated Pb.

Fig.5 shows two distinct sources associated with K and Black Carbon. The possible sources may be biomass combustion, coal burning, motor vehicle or firework.

Fig. 3 Correlation plot for PM2.5 Zn vs Pb

FUNDAMENTAL AND APPLIED FUNDAMENTAL RESEARCH

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Nuclear Physics 135

Fig. 4 Correlation plot for PM2.5 Br vs Pb

Fig. 5 Correlation plot for PM2.5 K Br vs BC

74 Study on Properties of Solid Material Surface Modified by Nuclear Tracks

LIU Cun xiong, NI Bang-fa, XIAO Cai-jin, TIAN Wei-zhi, WANG Ping-sheng, ZHANG Gui-ying,

HUANG Dong-hui, LI De-hong, LI Xue-zhen, SHEN Li, YANG Wei-tao

Study on peculiar properties of material surfaces modified by nuclear tracks was originated from the solid state nuclear track detection techniques developed half century ago for recording and investigating the properties of various nuclear particles. In this work, the principles of the nuclear tracks on solid materials were used to study on insulating and optical characteristics of some nuclear track modified solid materials. Some preliminary conclusions have been achieved.

The insulating materials were used in experiments, because only on insulating materials can nuclear tracks be recorded. Polyester, polycarbonate and mica were selected as test samples. Polyester and polycarbonate belong to organic macromolecule polymer, mica is inorganic. The sensitivity to record nuclear tracks and the method to develop the tracks are all different for polymer and mica. Sensitivity of

136 Annual Report of China Institute of Atomic Energy 2005 polymer is much greater than mica. Alkaline solution was used to etch samples to make tracks developed, for mica strong acid is appropriate. In our experiments sodium hydroxide and hydrofluoric acid were selected as the etching solution for polymers and mica, respectively. The etching conditions (density of tracks, concentration and temperature of etching solution, time for etching samples) were various to meet different requirements on the diameter, the depth (and less importantly, the shape) of the tracks on sample surfaces. As a result, properties of nuclear track modified sample surface were changed. And it varied with different diameter and depth. The electric resistance and optical parameters such as reflectivity, transmission were measured. Figure 1 shows two SEM pictures for polyester surface. Figure 1a shows excellent anti-metal contamination and anti-reflect properties. That is because the density of the nuclear tracks is much higher than that in the right picture. Actually the tracks are even largely linked and overlapped with each other. Figure 2 shows little anti-metal contamination and anti-reflect properties.

Fig. 1 The SEM of different polyesters a, b shows different polyesters

Fig. 2 The SEM of mica

Figure 2 is a SEM graph for mica. Compared to Fig. 1, the etched nuclear tracks on mica were rhombus (the rhombus was not flat), unlike the conical or cylindrical tracks on polyester. Mica is made of many layers. The etching solution might stay between layer and layer. That may lead to stair-like surface.

The ability of anti-metal contamination was decreased greatly. And anti-reflectivity ability is complicated because of desquamation. So mica isn’t suitable for studying anti-metal contamination and anti-reflect properties through surface modification by nuclear tracks.

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