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

@article{Hagino2018OriginOA,
  title={Origin of a maximum of the astrophysical S factor in heavy-ion fusion reactions at deep subbarrier energies},
  author={Kouichi Hagino and A. Baha Balantekin and Nyein Wint Lwin and Ei Shwe Zin Thein},
  journal={Physical Review C},
  year={2018},
  volume={97},
  pages={034623}
}
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… 
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