2006 Annual Report of the EURATOM-MEC Association 127 TW5-4.3R1; TW5-TTMI-004 IFMIF, DESIGN INTEGRATION: (I) DEUTERON-INDUCED ACTIVATION CROSS SECTION EVALUATION FOR THE Fe ISOTOPES BY MEANS OF OPTICAL POTENTIAL ANALYSIS, AND (II) DEUTERON-INDUCED ACTIVATION CROSS SECTION EVALUATION FOR ACCELERATOR MATERIALS: Cu, Al, Nb AND OTHERS M. Avrigeanu, V. Avrigeanu, and F.L. Roman “Horia Hulubei” National Institute of R&D for Physics and Nuclear Engineering, Magurele 1. Introduction A compilation of the elastic scattering data for deuterons on the stable isotopes of Fe, Cu and Nb, for D-energies up to 50 MeV, proves the existence of angular distributions for deuterons on 54Fe at 8 energies between 10 and 56 MeV, 56Fe at 7 energies between 5 and 56 MeV, 58Fe at the energy of 12.3 MeV, natFe at 3 energies between 11.8 and 26 MeV, 63,65,nat Cu at 9 energies between 11.8 and 34.4 MeV, and 93Nb at 4 energies between 11.8 and 52 MeV, as well as total reaction cross sections for 12.3 and 25.1 MeV deuterons on 54,56,58Fe and natFe, respectively, and between 11 and 25 MeV on nat,63,65Cu. The description of deuteron-nucleus interaction represents an important test for both the quality of semi-microscopic optical models and evaluation of nuclear data requested for fusion reactor technology. However, the difficulties to interpret the data in terms of the usual optical-model potential (OMP) hampered such a comprehensive analysis [1]. The deuteron weak binding results in significant contributions of the breakup channel and enhances a variety of reactions at low bombarding energy. Nevertheless, a semi-microscopic analysis (e.g., [2]) appears as the most suitable basis for the evaluation of the deuteron-induced activation cross sections necessary for fusion applications. 2. Semi-microscopic analysis of deuteron elastic scattering on 54,56Fe at low incident energy This work is based on the previous IFIN-HH study of the realistic effective nucleon-nucleon (NN) interactions by using the double-folding model (DFM) for the microscopic optical potential calculation [3,4]. The calculated microscopic real potential have been obtained by using the M3Y, BDM3Y, and DDM3Y Paris effective NN interactions, and a sensitivity analysis of calculated cross sections with respect to effective NN interactions is planned in order to establish the proper use of DF nuclear potential for complex particles [1,3,5] including deuterons. The elastic scattering of deuterons has been calculated for energies up to 50 MeV by using a modified version of the OMP computer code SCAT2 [6] (NEA Data Bank). The deuteron elastic-scattering experiments also on the Fe, Cu and Nb stable isotopes at incident energies lower than 20 MeV are not satisfactory described by any of the phenomenological global OMPs of either Daehnick et al [7], Lohr and Haeberli [8] or Perey and Perey [9]. Moreover, results from analysis of the low-energy elastic scattering data suffer from discrete and continuous ambiguities in the OMP parameters, whose uncertainties vary for various target nuclei and for different incident energies due to the precision of data analyzed. 128 Atentie 2006 Annual Report of the EURATOM-MEdC Association Thus, in order to avoid too much phenomenology in these data description, the phenomenological real potential of Woods-Saxon (WS) type is replaced by the DFM microscopic potential while phenomenological parameters corresponding to imaginary and spin-orbit terms are obtained by fit of the experimental double-differential cross sections. It should be emphasized that for the real part no adjustable parameter or normalization constant was involved in this analysis in order to couple the imaginary and spin-orbit part of the OMP so that the predictive power of this semi-microscopic potential is preserved. As a first result, this approach may reduce the number of the OMP parameters and the corresponding uncertainties. Therefore we looked for imaginary volume and surface potential parameters necessary for description of the whole body of elastic-scattering double differential cross sections [10] for 54 Fe at 8 energies between 10 and 56 MeV, 56Fe at 7 energies between 5 and 56 MeV, 58Fe at the energy of 12.3 MeV, and natFe at 3 energies between 11.8 and 26 MeV. Comparison of the experimental elastic-scattering angular distributions for 54,56Fe with OMP calculations based on the DF approach obtained by using finally the M3Y-Paris effective NN interactions and the deuteron density distribution obtained from measured charge form factors of Abbot et al. [11] and the phenomenological imaginary potential parameters obtained by fit, is shown in Fig. 1. 0 10 54 Fe(d,d0) 10 MeV -1 10 0 10 -1 10 56 1.0 Fe(d,d0) 0.8 Goddard - Haeberli (1979) 5 MeV Burgi+ (1980) Local W Average W 0.6 Al-Quaraishi+ (2000) Al-Quraishi + (2000) Local W Average W 1.0 12 MeV 0 10 3 10 12.3 MeV 12.3 MeV 0.5 2 10 7 MeV 1 10 10 0 10 /Rutherford /Rutherford 1 0 10 Brown+ (1973) 13 MeV -1 10 Goddard-Haeberli (1979) 0 10 14.5 MeV 0 Brown+ (1973) 30 60 90 MeV 180 12012150 0.1 0 10 1 10 0 10 Burgi + (1980) 12.3 MeV -1 10 Hjorth - Lin (1968) 0 Newman+ (1967) 10 -1 10 Brown (1973) 34.4 MeV -1 10 0 10 52 MeV -1 10 Hinterberger+ (1968) -2 10 0 30 60 90 120 c.m. (deg) 150 180 d/d [mb/sr] 0 10 2 12 1 10 Brown+ (1961) 0 10 56 MeV -1 10 10 30 MeV 10 10 -2 10 0 10 -4 -2 10 Jahr + (1961) 3 2 Roche+ (1974) -2 10 11 2 10 c.m. (deg) d/d [mb/sr] -1 0 0 Hatanaka+ (1980) 30 30 60 60 90 90 120 150 180 120 (deg) (deg) c.m. c.m. 150 180 10 0 De Leo+ (1996) 30 Figure 1. Comparison of the experimental [10] and calculated elastic-scattering differential cross sections of deuterons on 54,56Fe by using the microscopic DF real potential and local (dotted curves) as well as average imaginary part of the OMP (solid curves). 3. Average energy-dependent phenomenological OMP of deuterons on+54,56Fe, 63,65Cu, 93Nb The second step of the present analysis has concerned the determination of an OMP real part by keeping fixed the imaginary and spin-orbit potential parameters obtained within the 60 90 120 c.m. (deg) 129 2006 Annual Report of the EURATOM-MEC Association semi-microscopic analysis, in order to obtain the full phenomenological OMP needed for application calculations. The advantage of having well settled already at least half of the usual OMP parameters increases obviously the accuracy of fitting the data. The calculated elastic scattering cross sections by using the real, imaginary and spin-orbit potential parameters obtained by fit of the experimental data at various incident energies are shown in Figs. 2,3. 54 0 10 1,0 56 Fe(d,d0) 0,8 10 MeV 5 MeV Goddard-Haeberli (1979) 0,6 Daehnick+ Average OMP TALYS-0.64 0 10 Al-Quraishi+ (2000) Al-Quraishi+ (2000) Daehnick+ Average OMP TALYS-0.64 1,0 Burgi+ (1980) 0 10 12.3 MeV -1 /Rutherford 10 Brown+ (1973) 0 10 13 MeV -1 10 Goddard-Haeberli (1979) 0 10 Rutherfordd/d [mb/sr] 12 MeV -1 10 0,53 10 7 MeV 12.3 MeV 2 10 1 101 0 10 0 0,1 3 10 12 MeV 2 10 Brown+ (1973) 30 60 90 Burgi + (1980) c.m. d/d [mb/sr] -1 10 Fe(d,d0) 120 150 180 (deg) 0 10 12.3 MeV 14.5 MeV 1 10 0 10 3 10 1 10 -1 10 Brown+ (1973) -1 10 Roche+ (1974) 0 Hjorth-Lin (1968) 10 0 10 30 MeV 34.4 MeV -1 10 -1 Newman et al. (1967) -2 10 0 10 52 MeV -1 10 -2 10 0 Hinterberger+ (1968) 30 60 90 120 150 180 c.m. (deg) d/d [mb/sr] 10 3 103 10 56 MeV 56 MeV 1 101 10 -1 -1 10 10 -3 -3 10 10 0 0 Hatanaka+ (1980) De Leo+ (1996) 30 30 60 60 90 120 120 150 150 180 180 90 (deg) c.m.(deg) c.m. Figure 2. . Comparison of the experimental [10] and calculated angular distributions of the elastic scattering of deuterons on 54,56Fe by using the present phenomenological OMP (solid curves), the OMP parameters of Daehnick et al. [7] (dotted curves) and the default potential for deuterons within TALYS-0.64 (dashed curves). 0 2006 Annual Report of the EURATOM-MEdC Association 0 10 -1 10 0 58 Daehnick+ Average OMP TALYS-0.64 Fe(d,d0) 12.3 MeV Brown+ (1973) 30 60 90 120 150 180 d/d [mb/sr] d/dRutherford 130 Atentie 3 10 12.3 MeV 2 10 1 10 0 10 Brown+ (1973) -1 10 0 30 60 c.m. (deg) 90 120 150 180 c.m. (deg) Figure 3. Comparison of the experimental [10] and calculated angular distributions of elastic scattering of deuterons on 58Fe using the present phenomenological OMP (solid curves), the OMP parameters of Daehnick et al. [7] (dotted curves) and default potential for deuteron sin TALYS-0.64 (dashed curves). 1600 1200 d+ 54 Fe non [mb] d+ Brown+ (1973) ACSELAM TALYS-0.64 TALYS + OMP-A EMPIRE 2.19b24 EMPIRE + OMP-A 800 400 0 56 Fe Brown (1973) 1600 1200 800 0 0 Dubar+ (1974) Mayo+ (1965) TALYS + OMP-A EMPIRE + OMP-A ACSELAM Brown+ (1973) 400 10 20 30 nat Fe d+ 58 d + Fe 40 0 10 20 30 40 50 Ed (MeV) Figure 4. Comparison of experimental [10], ACSELAM data [12] (dot-dashed curves), and calculated non-elastic cross sections for d+54,56,58,natFe using the average potential (OMP-A) in TALYS (solid) and EMPIRE (dotted), and the default options of these codes (dashed and dash-dot-dotted, respectively). On the basis of the corresponding local OMP parameters, average OMP parameters, energy dependent have been obtained and the corresponding average angular distributions are also shown in Figs. 2,3 by solid curves. Finally an improved description of the experimental data is proved with respect to the predictions of Daehnick et al. [7], Lohr-Haeberl [8], and Perey-Perey [9] global OMPs, which can be considered a suitable validation of the actual both semi-microscopic and phenomenological optical potentials. The measured reaction cross sections [10] are shown in Fig. 4 in comparison with the calculated values by using the present average OMP within the codes TALYS and EMPIRE-2.19 (next section), and the corresponding default options of these codes as well as the evaluated data of the library ACSELAM [12]. A similar analysis of the experimental elastic-scattering differential cross sections [10] for deuterons incident on the target nuclei 63,65Cu and 93Nb has led also to an average OMP for these isotopes. The comparison of experimental elastic-scattering angular distributions for 63,65 Cu, 93Nb and the calculated values obtained by using these OMPs and Daehnick et al. [7] as well as default TALYS code global potentials are shown in Figs. 5-7. On the other hand, 131 2006 Annual Report of the EURATOM-MEC Association Cu(d,d0) 10 Lee Jr.+ (1964) OMP Daehnick et al. present work TALYS-default OMPKD 1 10 12 MeV 0 10 12 MeV 65 Cu(d,d0) 3 10 Lee Jr. + (1964) 1 10 34.4 MeV 0 14.5 MeV Hjort+ (1968) 10 Neuwman+ (1967) -1 10 -1 10 /Rutherford d/d [mb/sr] 63 3 /Rutherford d/d [mb/sr] also the experimental total reaction cross sections [10] for d+63,65Cu are compared in Fig. 5 with the results obtained by using the present average OMP, Daehnick et al. [7] potential, as well as both default options of TALYS code, and the evaluated ACSELAM library data. In the same way have been compared in Fig. 6 the corresponding calculated and experimental elastic-scattering differential cross sections and total reaction cross sections for deuterons interacting with the natural Copper, while the same comparison for 93Nb is shown in Fig. 7. -2 10 0 34.4 MeV 10 0 Newman+ (1967) 30 60 90 120 150 180 c.m. [deg] -1 10 -2 10 0 30 60 90 120 150 180 c.m. [deg] 2000 reaction [mb] reaction [mb] 2000 1500 63 1000 500 d + Cu Bearpark et al. (1965) Dubar et al (1974) ACSELAM Daehnick et al. TALYS - default-OMPKD 1500 65 1000 500 present work 20 40 Ed [MeV] Bearpark et al. (1965) Dubar et al. (1974) ACSELAM Daehnick et al. TALYS - default-OMPKD TALYS - default-R TALYS - default-R 0 d + Cu 60 0 0 present work 20 40 Ed [MeV] 60 Figure 5. Comparison of experimental [10] and calculated elastic-scattering angular distributions (top) and experimental [10] and calculated total reaction cross sections (bottom) for d+ 63,65Cu. 3. Calculation of deuteron activation cross-sections of 54,56Fe, 63,65Cu, 93Nb up to 50 MeV A supplementary aim of this work has been the calculation of deuteron-induced activation cross-sections for Fe, Cu and Nb stable isotopes by using (i) the deuteron average energy-dependent phenomenological OMP following the above-mentioned analysis, within (ii) the direct reaction, pre-equilibrium emission (PE) and Hauser-Feshbach (HF) statistical-model computer codes TALYS [13] and EMPIRE-II [14]. 132 Atentie 0 10 nat 3 Cu(d,d0) d/d [mb/sr] /Rutherford 2006 Annual Report of the EURATOM-MEdC Association 11.8 MeV Igo+ (1961) Daehnick et al. present work -1 10 (a) 0 15 MeV 10 10 11.8 MeV Jahr+ (1961) 2 10 1 10 0 (c) 10 4 21.6 MeV 10 Jolly+ (1963) Yntema (1959) 2 10 -1 10 0 10 (b) -2 10 0 (d) 30 60 90 120 150 180 c.m. [deg] 0 30 60 90 120 150 180 c.m. [deg] R (mb) 2000 1500 nat d+ 1000 Cu Mayo+ (1965) Bearpark et al. (1965) Daehnick et al. present work ACSELAM-library 500 0 20 (e) 40 60 Ed (MeV) Figure 6. As for Fig. 5, but for the natural Cu target. 10 93 0 15 MeV Nb(d,d0) /Rutherford 11.8 MeV -1 10 10 Igo+ (1961) OMP Daehnick et al. OMP Bojowald et al. present work TALYS-default OMPKD Jolly+ (1963) 0 34.4 MeV 52 MeV -1 10 -2 10 Newman+ (1967) 0 30 60 90 Hinterberger+ (1968) 120 150 0 30 60 90 120 150 180 reaction [mb] c.m. [deg] 2000 1500 93 d + Nb Daehnick et al. Bojowald et al. present work TALYS - default OMPKD 1000 500 0 0 TALYS - default R ACSELAM 20 40 60 Ed [MeV] Figure 7. As for Fig. 4, but for the natural 93Nb target nucleus, while no total reaction data exist. 133 2006 Annual Report of the EURATOM-MEC Association 54 55 Fe(d,n) Co [7/2- 17.5H] 400 Zaman+ (1993) Tao Zhenlan++ (1983) Coetzee+ (1972) ACSELAM TALYS TALYS + OMP-A EMPIRE EMPIRE + OMP-A 200 56 800 56 Fe(d,2n) Co [4+ 77.2D] Takacs+ (2001) Sudar+ (1994) Tao Zhenlan+ (1983) ACSELAM TALYS TALYS + OMP-A EMPIRE EMPIRE + OMP-A 600 400 200 0 200 10 20 30 40 50 400 [6+ 5.6D] 150 100 0 54 52g Fe(d,a) Mn 56 Zaman+ (1996) Tao Zhenlan+ (1983) Baron+ (1963) 54 Fe(d,) Mn 300 [3+ 312.2D] [mb] 50 Sudar+ (1994) 200 0 100 54 52m Fe(d,a) Mn 80 100 [2+ 21.2M] Zaman+ (2003) 60 0 40 0 10 20 30 56 40 Fe(d,2p) 56 Mn [3+ 2.6H] 0 2 50 50 20 10 40 54 53 Fe(d,t) Fe 30 [7/2- 8.5M] 20 1 10 10 Baron+ (1963) 0 10 0 10 Zaman+ (2003) -1 10 0 10 20 30 40 20 30 40 50 Ed (MeV) 50 Ed (MeV) Figure 8. Comparison of the experimental [10], ACSELAM data [12] (dot-dashed curves), and calculated deuteron-induced reaction cross sections for the 54,56Fe target nuclei using the TALYS and EMPIRE-II codes with default input parameters (dashed and dash-dot-dotted curves, respectively) and the deuteron phenomenological OMP-A (solid and dotted curves, respectively). These cross-section calculations were carried on by using the corresponding global input parameter sets excepting the deuteron OMP. On the other hand, we have also compared the results thus obtained with those provided by the default OMP of TALYS and EMPIRE-II codes, i.e. a simplification of folding approach of Watanabe [15] and the nucleon OMP of Koning and Delaroche [16], for the former, and Perey and Perey [9] for the latter. Other useful comparisons for the effects of various deuteron OMPs took into account the widely used deuteron parameter sets of Daehnick et al. [7] and Lohr and Haeberli [8]. At the same time, 134 Atentie 2006 Annual Report of the EURATOM-MEdC Association the results shown by notation TALYS in Figs. 8-11 are obtained by means of the keyword ‘spherical’ in order to enforce a spherical OMP calculation, leading to the treatment of the direct inelastic scattering by the DWBA method, while the default option is the opposite one. We used also particularly a changed keyword ‘sysreaction’ with respect to the default option, as the authors [13] recommended for a high-quality for complex particles, since otherwise the reaction cross section for deuterons as complex particles would be taken from systematic of non-elastic cross sections based on empirical expressions. It is similarly important for deuteroninduced reactions that the EMPIRE-II version 2.19 offers the advantage of using the exciton PE model for cluster emission. 1600 1600 non (mb) 1200 1200 d+ 54 Fe 56 d+ 800 Fe 800 Brown et al. (1973) ACSELAM TALYS TALYS + OMP-A 400 0 0 non 3 10 54 55 54 Fe 53 Fe 3 d + Fe Mn Brown et al. (1973) ACSELAM TALYS TALYS + OMP-A 400 10 non 57 55 54 Co 52 2 10 56 Co 56 Fe 55 d + Fe Fe Co 54 Mn 57 53 50 Cr 51 55 53 Cr 2 10 49 Mn 53 Co Cr 50 54 Fe Mn Mn 51 52 Mn V 56 49 54 Fe Fe Mn 51 56 Cr Cr Cr 55 Mn Co V 53 Cr 54 1 1 10 52 48 (mb) 52 10 47 V 47 49 Fe V 46 Ti 50 48 52 Cr V V Ti 0 V Ti 0 10 10 10 n p 3 3 10 n p d + Fe a 2 54 56 d + Fe a 2 10 10 d d t t 1 1 10 10 h h 0 10 Mn 0 0 10 20 30 40 50 10 10 20 30 40 50 Ed [MeV] Figure 9. Comparison of the experimental [10], ACSELAM data [12] (dot-dashed curves), and calculated non-elastic cross sections for the 54,56Fe target nuclei (top) by using the TALYS code with default input parameters (dashed) and the deuteron phenomenological optical potential OMP-A (solid), as well as residual nuclei production due to deuterons on 54,56Fe (middle), and total particle production cross sections (bottom) obtained by using the code TALYS and the optical potential OMP-A. 135 2006 Annual Report of the EURATOM-MEC Association 2000 non (mb) 1500 63 d + Cu 1000 65 d + Cu Dubar+ (1974) Bearpark+ (1965) 500 Dubar+ (1974) Bearpark+ (1965) TALYS-0.64+ TALYS-0.64/OMP-A EMPIRE-II.19/OMP-D EMPIRE-II.19/OMP-A 0 non 63 63 1000 Cu 62 Cu d + Cu 61 Ni 63 TALYS-0.64+ TALYS-0.64/OMP-A Ni 65 60 Ni 62 Zn 65 66 Cu (mb) 64 100 Zn Zn Cu 64 d + Cu Cu 61 Ni Co Co Ni Co 63 60 58 Cu Ni 66 63 62 Zn Cu Ni Zn 63 Ni 61 Cu 64 Ni 57 56 Fe 60 Fe 60 25 Co 57 Mn 61 61 61 Fe Zn 55 Fe 62 1 (mb) n non p Co 58 Co Fe 62 Fe Zn 58 Co p a d d t h 10 h 65 63 d + Cu d + Cu 0 Co non t 1 59 Co n a 100 Cu 57 Cu 1000 non Cu 60 Ni 64 10 63 62 62 58 59 64 Zn 61 59 Ni 65 Zn 20 40 60 20 40 60 Ed (MeV) Figure 10. As for Fig. 9, but for the 63,65Cu target nuclei. Firstly, one may note the rather identical non-elastic cross sections of deuterons provided by the both TALYS and EMPIRE-II codes as well as by SCAT2 within the OMP analyses described within the sections 3 and 4, which proves also the correctness of using the present OMP within the two computer codes. This increased agreement between the experimental data and the model predictions of the computer codes TALYS and EMPIRE-II obtained by using the optical potential developed within the present work, and global assumptions and values for the rest of input parameters, is able to support the calculated activation cross sections in spite of the actual scarce data basis. New measurements of these reaction cross sections may provide further evidence in this respect. 136 Atentie 2006 Annual Report of the EURATOM-MEdC Association 93 2 Nb(d,2n) 10 93m 93 Mo d + Nb 2000 reaction [mb] [10.5+ 6.85h] 1 [mb] 10 0 10 1500 1000 Ditroi+ (2000) TALYS - default exp.syst. R 500 TALYS - default OMPKD -1 10 Daehnick et al. present work ACSELAM TALYS default OMPKD TALYS - OMP present work EMPIRE - OMP present work 0 10 20 30 40 50 TALYS default exp. syst. R 0 60 reaction 3 Ed [MeV] 10 92 93 93 Mo 91 Mo 92 Nb 90 91 93 2 10 Mo 90 Nb Mo Nb 89 94 d+ Nb Nb 88 Zr Zr Zr 88 94 Nb 90 1 91 10 93 [mb] 87 Y 89 Nb Zr 89 92 Mo Y Zr 85 Y Zr 86 0 10 Sr 84 Sr Sr n 3 10 p a 2 10 d t h 1 10 93 d+ Nb 0 10 0 10 20 30 40 50 60 Ed [MeV] Figure 11. As for Figs. 8- 9, but for the 93Nb target nucleus. 6. Conclusions The angular distributions of the elastic-scattered deuterons on 54,56,58Fe target nuclei have been analyzed by using also the double-folding model for the microscopic optical potential calculation, and lastly energy-dependent OPMs up to 50 Mev have been obtained. Next, the comparison between the elastic angular distributions calculated with the deuteron global potentials and those obtained from the present OMPs proved the latter as most reliable. Finally, these OMPs have been involved in calculations of activation cross-section of deuterons incident on 54,56Fe target nuclei, performed by using the well-known computer codes TALYS and EMPIRE-II and replacing their default OMP options for deuterons. Comparison of the corresponding results as well as with those following the use of earlier widely-used global OMP parameter sets is finally proved able to support the calculated activation cross sections in this work, in spite of the actual scarce data basis. As a global result of this analysis one may note 2006 Annual Report of the EURATOM-MEC Association 137 differences of about 10% between the present improved results and those obtained by using the default input parameters within the code TALYS. The differences with respect to the evaluated data of the ACSELEM library are about 25%. One of the authors (F.L.R.) acknowledges the hospitality of the Atominstitut (AI) der Osterreichischen Universitaeten, Technische Universitaet Wien (TUW) during a staff-mobility visit at the Association EURATOM/OAW in the period 2006.10.15-2006.12.15, for working together with Prof. Helmut Leeb on the research topic “Microscopic optical potentials for deuteron interaction with accelerator materials”. The results of this co-operation are shown in the Section 2 of this report, and they may represent the basis for a project for enhancing mutual co-operations between Associations 2006 entitled “Optical Potentials for Light Ions” in the framework of the envisaged EFDA-project at AI/TUW on covariance determination for 16O. References [1] Avrigeanu M, von Oertzen W., Fischer U., Avrigeanu V., “Analysis of deuteron elastic scattering on 6,7Li up to 50 MeV”, Nucl. Phys. A759 (2005) 327. [2] Avrigeanu M., von Oertzen W., Fischer U., and Avrigeanu V., “Analysis of Deuterium scattering on 6,7Li up to 50 MeV based on realistic effective NN interaction”, in Nuclear Data for Science and Technology, R.C. Haight, M.B. Chadwick, T. Kawano, and P. Talou (Eds.), AIP Conf. Proc. No. 769 (2005) 99. [3] Avrigeanu M., Anagnostatos G.S., Antonov A.N., Giapitzakis J., “On dynamics of two-neutron transfer reactions with the Borromean nucleus 6He”,Phys. Rev.C 62 (2000) 017001. 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