Empirical relations for the fusion cross sections of heavy ions

Autor: I. Yu. Sedykh, V. Yu. Denisov
Rok vydání: 2019
Předmět:
Zdroj: The European Physical Journal A. 55
ISSN: 1434-601X
1434-6001
Popis: Simple relations for a calculation of the barrier height B, radius R and curvature $ \hbar \omega$ 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 $ Z_{1}Z_{2} = 36$ to 58Ni + 124Sn with $ Z_{1}Z_{2} = 1400$. Substituting these formulas for B, R and $ \hbar \omega$ 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.
Databáze: OpenAIRE
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