Dependence of fusion on isospin dynamics

Abstract

We introduce a new microscopic approach to calculate the dependence of fusion barriers and cross-sections on isospin dynamics. The method is based on the time-dependent Hartree-Fock theory and the isoscalar and isovector properties of the energy density functional (EDF). The contribution to the fusion barriers originating from the isoscalar and isovector parts of the EDF is calculated. It is shown that for non-symmetric systems the isovector dynamics influence the sub-barrier fusion cross-sections. For most systems this results in an enhancement of the sub-barrier cross-sections, while for others we observe differing degrees of hindrance. We use this approach to provide an explanation of recently measured fusion cross sections which show a surprising enhancement at low $E_{c.m.}$ energies for the system ${}^{40}$Ca+${}^{132}$Sn as compared to the more neutron-rich system ${}^{48}$Ca+${}^{132}$Sn, and discuss the dependence of sub-barrier fusion cross-sections on transfer.

5 pages, 4 figures

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Cited by in corpus (12)

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• How the Pauli exclusion principle affects fusion of atomic nuclei
• Enhanced nucleon transfer in tip collisions of ${}^{238}$U+${}^{124}$Sn
• Transport properties of isospin asymmetric nuclear matter using TDHF
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Imaginary Time Mean-Field Method for Collective Tunneling
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• Simulation of fusion and quasi-fission in nuclear reactions leading to production of superheavy elements using the Constrained Molecular Dynamics model
• Microscopic Study of Spin Transfer in Near-Barrier Nuclear Reactions
• Computing nuclear response functions with time-dependent coupled-cluster theory
• Effect of Pauli repulsion and transfer on fusion
• Impact of octupole correlation on the inverse quasifission in ${}^{160}\text{Gd}+{}^{186}\text{W}$ collisions