Fusion Cross Sections at Deep Sub-barrier Energies

Abstract

A recent publication reports that heavy-ion fusion cross sections at extreme sub-barrier energies show a continuous change of their logarithmic slope with decreasing energy, resulting in a much steeper excitation function compared with theoretical predictions. We show that the energy dependence of this slope is partly due to the asymmetric shape of the Coulomb barrier; that is, its deviation from a harmonic shape. We also point out that the large low-energy slope is consistent with the surprisingly large surface diffusenesses required to fit recent high-precision fusion data.