Astrophysical<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>factor, logarithmic slope of the excitation function, and barrier distribution

Abstract

Employing the quantum diffusion approach, the behaviors of the capture cross section, mean square angular momentum, astrophysical $S$ factor, logarithmic slope of the excitation function, and barrier distribution have been determined for the recently measured reactions ${}^{58}$Ni + ${}^{54}$Fe and ${}^{40}$Ca + ${}^{40}$Ca at deep subbarrier energies. The calculated results for the reactions ${}^{58}$Ni + ${}^{54}$Fe, ${}^{58}$Ni + ${}^{58,60,64}$Ni, ${}^{40}$Ca + ${}^{40}$Ca, ${}^{60}$Ni + ${}^{89}$Y, and ${}^{32,36}$S, and ${}^{40,48}$Ca + ${}^{90,96}$Zr are in a good agreement with the existing experimental data.