Microscopic study of the ${}^{132,124}$Sn+${}^{96}$Zr reactions: dynamic excitation energy, energy-dependent heavy-ion potential, and capture cross section

Abstract

We study reactions between neutron-rich ${}^{132}$Sn nucleus and ${}^{96}$Zr within a dynamic microscopic theory at energies in the vicinity of the ion-ion potential barrier peak, and we compare the properties to those of the stable system ${}^{124}$Sn+${}^{96}$Zr. The calculations are carried out on a three-dimensional lattice using the density-constrained Time-Dependent Hartree-Fock method. In particular, we calculate the dynamic excitation energy $E^{\ast }(t)$ and the quadrupole moment of the dinuclear system, $Q_{20}(t)$, during the initial stages of the heavy-ion collision. Capture cross sections for the two reactions are analyzed in terms of dynamic effects and a comparison with recently measured data is given.

References in corpus (15)

• Energy dependence of nucleus-nucleus potential close to the Coulomb barrier
• 3-D unrestricted TDHF fusion calculations using the full Skyrme interaction
• Heavy-ion interaction potential deduced from density-constrained TDHF calculation
• Fission Barriers of Compound Superheavy Nuclei
• Quasifission and fusion-fission in massive nuclei reactions. Comparison of reactions leading to the Z=120 element
• Entrance Channel Dynamics of Hot and Cold Fusion Reactions Leading to Superheavy Elements
• A new inverse quasifission mechanism to produce neutron-rich transfermium nuclei
• Density-constrained time-dependent Hartree-Fock calculation of ${}^{16}$O+${}^{208}$Pb fusion cross sections
• Microscopic Study of the triple-$\alpha$ Reaction
• Microscopic Calculation of Pre-Compound Excitation Energies for Heavy-Ion Collisions
• Study of ${}^{64}$Ni+${}^{132}$Sn Fusion with Density Constrained TDHF Formalism
• Conservation Properties in the Time-Dependent Hartree Fock Theory
• Dynamical deformation effects in subbarrier fusion of ${}^{64}$Ni+${}^{132}$Sn
• Potential inversion with subbarrier fusion data revisited
• Center-of-mass motion and cross-channel coupling in time-dependent Hartree-Fock theory

Cited by in corpus (33)

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• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
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• TDHF and a macroscopic aspect of low-energy nuclear reactions
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
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