${}^{64}$Ni+${}^{64}$Ni fusion reaction calculated with the density-constrained time-dependent Hartree-Fock formalism

Abstract

We study fusion reactions of the ${}^{64}$Ni+${}^{64}$Ni system using the density-constrained time-dependent Hartree-Fock (TDHF) formalism. In this formalism the fusion barriers are directly obtained from TDHF dynamics. In addition, we incorporate the entrance channel alignments of the slightly deformed (oblate) ${}^{64}$Ni nuclei due to dynamical Coulomb excitation. We show that alignment leads to a fusion barrier distribution and alters the naive picture for defining which energies are actually sub-barrier. We also show that core polarization effects could play a significant role in fusion cross section calculations.

arXiv comment7 pages, 6 figures

References in corpus (13)

• A program for coupled-channels calculations with all order couplings for heavy-ion fusion reactions
• Quantum Tunneling in Nuclear Fusion
• Influence of nuclear structure on sub-barrier hindrance in Ni+Ni fusion
• Hindrance of heavy-ion fusion due to nuclear incompressibility
• 3-D unrestricted TDHF fusion calculations using the full Skyrme interaction
• Heavy-ion interaction potential deduced from density-constrained TDHF calculation
• Systematics of threshold incident energy for deep sub-barrier fusion hindrance
• Existence of One-Body Barrier Revealed in Deep Sub-Barrier Fusion
• Study of ${}^{64}$Ni+${}^{132}$Sn Fusion with Density Constrained TDHF Formalism
• TDHF fusion calculations for spherical+deformed systems
• Dynamical deformation effects in subbarrier fusion of ${}^{64}$Ni+${}^{132}$Sn
• Skyrme-HFB deformed nuclear mass table
• Sensitivity to multi-phonon excitations in heavy-ion fusion reactions

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