Origin of a maximum of astrophysical $S$ factor in heavy-ion fusion reactions at deep subbarrier energies

Abstract

The hindrance phenomenon of heavy-ion fusion cross sections at deep subbarrier energies often accompanies a maximum of an astrophysical $S$ factor at a threshold energy for fusion hindrance. We argue that this phenomenon can naturally be explained when the fusion excitation function is fitted with two potentials, with a larger (smaller) logarithmic slope at energies lower (higher) than the threshold energy. This analysis clearly suggests that the astrophysical $S$ factor provides a convenient tool to analyze the deep subbarrier hindrance phenomenon, even though the $S$ factor may have a strong energy dependence for heavy-ion systems unlike that for astrophysical reactions.

4 pages, 4 figures

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Cited by in corpus (2)

• Potential roots of the deep sub-barrier heavy-ion fusion hindrance phenomenon
• Re-examination of fusion hindrance in astrophysical ${}^{12}$C+${}^{12}$C and ${}^{12}$C+${}^{13}$C reactions