PARAMETERIZATION OF THE NUCLEUS-NUCLEUS POTENTIAL
R.O. Akyuz and A. Winther
Proc. Enrico Fermi Int. School of Physics, 1979, “Nuclear structure and heavy-ion reactions”,
ed. R.A. Broglia, C.H. Dasso and R. Ricci (North-Holland, Amsterdam, 1981) p. 491
1. The nuclear part of the nucleus-nucleus potential in paper [1], U, is parameterized as
U (r )
V
1 e
0
( r RP RT )/ aV
,
(1)
with the potential depth is
V0 16 aV RTP .
In these expressions the reduced radius is
RTP
RT RP
,
RT RP
with
Ri 1.20 Ai1/3 0.09 fm.
The diffuseness parameter is
1
1.17 1 0.53 AP1/3 AT1/3 fm 1 ,
aV
while the surface tension parameter is
0.95 1 1.8
N P Z P NT ZT
AP
AT
2
MeV fm .
2. The imaginary part of the nucleus-nucleus potential is not discussed in paper [1]. In the
NRV the radius and diffuseness parameters of imaginary part RW and aW are suggested to be
equal to the real part’s ones, while imaginary depth W0 is a quarter of the real depth. This choice
is arbitrary therefore these parameters should be fitted additionally.
3. The Coulomb potential radius is not defined in paper [1], so in the NRV it is equal to
RC 1.30 AP1/3 +AT1/3 fm.
References:
[1] R.O. Akyuz and A. Winther, Proc. Enrico Fermi Int. School of Physics, 1979, “Nuclear
structure and heavy-ion reactions”, ed. R.A. Broglia, C.H. Dasso and R. Ricci (North-Holland,
Amsterdam, 1981) p. 491.
[2] R.A. Broglia and A. Winther, Heavy Ion Reactions, Part I and II, Frontiers in Physics, vol. 84
(Addison-Wesley, 1991).
[3] A. Winther, Nuclear Physics A572 (1994) 191-235.
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