Dynamic microscopic study of pre-equilibrium giant resonance excitation and fusion in the reactions ${}^{132}$Sn+${}^{48}$Ca and ${}^{124}$Sn+${}^{40}$Ca

Abstract

We study pre-equilibrium giant dipole resonance excitation and fusion in the neutron-rich system ${}^{132}$Sn+${}^{48}$Ca at energies near the Coulomb barrier, and we compare photon yields and total fusion cross sections to those of the stable system ${}^{124}$Sn+${}^{40}$Ca. The dynamic microscopic calculations are carried out on a three-dimensional lattice using both the Time-Dependent Hartree-Fock method and the Density Constrained TDHF method. We demonstrate that the peak of the GDR excitation spectrum occurs at a substantially lower energy than expected for an equilibrated system, thus reflecting the very large prolate elongation of the dinuclear complex during the early stages of fusion. Our theoretical fusion cross-sections for both systems agree reasonably well with recent data measured at HRIBF.

9 pages, 9 figures

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• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Energy dependence of potential barriers and its effect on fusion cross-sections
• Recent experimental results in sub- and near-barrier heavy ion fusion reactions
• Microscopic study of ${}^{16}$O+${}^{16}$O fusion
• Microscopic approach to coupled-channels effects on fusion
• Microscopic studies of production cross sections in multinucleon transfer reaction ${}^{58}$Ni+${}^{124}$Sn
• The unrestricted Skyrme-tensor time-dependent Hartree-Fock and its application to the nuclear response from spherical to triaxial nuclei
• Enhanced nucleon transfer in tip collisions of ${}^{238}$U+${}^{124}$Sn
• Dependence of fusion on isospin dynamics
• Deformed shell effects in ${}^{48}$Ca+${}^{249}$Bk quasifission fragments
• Microscopic predictions for production of neutron rich nuclei in the reaction ${}^{176}\mathbf{Yb}+{}^{176}\mathbf{Yb}$
• Relativistic Coulomb excitation within Time Dependent Superfluid Local Density Approximation
• Microscopic analysis of sub-barrier fusion enhancement in ${}^{132}$Sn+${}^{40}$Ca vs. ${}^{132}$Sn+${}^{48}$Ca}
• Microscopic study of ${}^{40}$Ca+${}^{58,64}$Ni fusion reactions
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Microscopic description of large amplitude collective motion in the nuclear astrophysics context
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• Time-dependent Hartree-Fock Study of Octupole Vibrations in doubly magic nuclei
• Microscopic DC-TDHF study of heavy-ion potentials and fusion cross sections