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

The effect of the various density distributions on C-13 + C-12,C-13 reactions is investigated by using the optical model at energies near and below Coulomb barrier. For this purpose, five different density distributions of the C-12 and C-13 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 C-13 + C-12,C-13 reactions are also examined at low energies, and hindrance behavior is not observed.