Heavy ion fusion reaction cross section: Analysis of the temperature dependence of the repulsive nuclear potential

Using the Wong formula, fusion cross sections of $^{18}\mathrm{O}+^{63}\mathrm{Cu},\phantom{\rule{0.28em}{0ex}}^{18}\mathrm{O}+^{194}\mathrm{Pt},\phantom{\rule{0.28em}{0ex}}^{16}\mathrm{O}+^{208}\mathrm{Pb}$, and $^{12}\mathrm{C}+^{141}\mathrm{Pr}$ reactions are calculated with double-folding potentials (M3Y) and inclusion of the corrected temperature-dependent repulsive nuclear potential (M3Y $+$ rep). Two different values of repulsive diffuseness are selected in calculations and effect of nuclear temperature on the repulsive nuclear potential, the effective potential, and three parameters of the Wong formula are investigated. Our results show that the inclusion of temperature-dependent repulsive nuclear potential increases the effective potential in interior regions, noticeably. However, in the near-barrier region, little enhancement of the effective potential causes small variations in the barrier height, position, and frequency. Better agreement between theory and experiment is observed by including the repulsive nuclear potential.