Analysis of fusion cross-section and S-factor of 13C + 12,13C reactions for different density distributions at astrophysical energies

Abstract

The effect of the various density distributions on 13C + 12,13C reactions is investigated by using the optical model at energies near and below Coulomb barrier. For this purpose, five different density distributions of the 12C and 13C nuclei are used to produce the real potential over the double folding model. To make a comprehensive analysis, the fusion cross-sections, S-factor and elastic cross-sections are simultaneously analyzed at astrophysical energies. It is seen that the theoretical results are in good agreement with the experimental data. In this study, the hindrance characteristics of the S-factors for the 13C + 12,13C reactions are also examined at low energies, and hindrance behavior is not observed.