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 AP1/3  AT1/3  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.