https://doi.org/10.1140/epja/i2019-12855-6
Regular Article - Theoretical Physics
Empirical relations for the fusion cross sections of heavy ions
1
Institute for Nuclear Research, Prospect Nauki 47, 03028, Kiev, Ukraine
2
Financial University, Leningradsky Prospect 49, 125993, Moscow, Russia
* e-mail: denisov@kinr.kiev.ua
Received:
21
May
2019
Accepted:
13
August
2019
Published online:
19
September
2019
Simple relations for a calculation of the barrier height B, radius R and curvature 
parameters used in the Wong formula for an evaluation of the heavy-ion fusion cross section are presented. These relations are obtained by a fitting of 1995 experimental cross section values measured for 85 even-even heavy-ion systems ranging from 12C + 12C with 
to 58Ni + 124Sn with 
. Substituting these formulas for B, R and into the Wong formula we can estimate both the fusion cross section of different spherical nuclei and the astrophysical S-factor. The value of the root-mean-square error of the decimal logarithm of the fusion cross section is 0.225.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
