Fusion cross sections at deep subbarrier energies

Abstract

A recent publication reports that heavy-ion fusion cross sections at extreme subbarrier 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.

arXiv comment9 pages, 3 eps figures

References in corpus (4)

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• Quantum Tunneling in Nuclear Fusion
• Coupled-channels analysis of the ${}^{16}$O+${}^{208}$Pb fusion barrier distribution
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Cited by in corpus (21)

• Influence of nuclear structure on sub-barrier hindrance in Ni+Ni fusion
• Hindrance of heavy-ion fusion due to nuclear incompressibility
• Signature of Shallow Potentials in Deep Sub-barrier Fusion Reactions
• Large-angle scattering and quasi-elastic barrier distributions
• Hindrance of Heavy-ion Fusion at Extreme Sub-Barrier Energies in Open-shell Colliding Systems
• Systematics of threshold incident energy for deep sub-barrier fusion hindrance
• WKB approximation for multi-channel barrier penetrability
• Existence of One-Body Barrier Revealed in Deep Sub-Barrier Fusion
• Coupled-channels calculations for nuclear reactions: from exotic nuclei to superheavy elements
• Surface diffuseness anomaly in heavy-ion potentials for large-angle quasielastic scattering
• Fusion cross-section for Ni-based reactions within the relativistic mean field formalism
• Potential inversion with subbarrier fusion data revisited
• Quantum tunneling with friction
• Potential roots of the deep sub-barrier heavy-ion fusion hindrance phenomenon
• Sub-barrier fusion excitation for the system ${}^7$Li+${}^{28}$Si
• Quasi-elastic scattering in the 20Ne + 90,92Zr reactions: role of non-collective excitations
• Is friction responsible for the reduction of fusion rates far below the Coulomb barrier?
• Transition from subbarrier to deep subbarrier regimes in heavy-ion fusion reactions
• Origin of a maximum of astrophysical $S$ factor in heavy-ion fusion reactions at deep subbarrier energies
• Role of nuclear deformation and orientation about symmetry axis of target nucleus on heavy-ion fusion dynamics
• Re-examination of fusion hindrance in astrophysical ${}^{12}$C+${}^{12}$C and ${}^{12}$C+${}^{13}$C reactions