Equilibration in the time-dependent Hartree-Fock approach probed with the Wigner distribution function

Abstract

Calculating the Wigner distribution function in the reaction plane, we are able to probe the phase-space behavior in time-dependent Hartree-Fock during a heavy-ion collision. We compare the Wigner distribution function with the smoothed Husimi distribution function. Observables are defined to give a quantitative measure for local and global equilibration. We present different reaction scenarios by analyzing central and non-central ${}^{16}O+$${}^{16}O$ and ${}^{96}Zr+$${}^{132}Zn$ collisions. It is shown that the initial phase-space volumes of the fragments barely merge. The mean values of the observables are conserved in fusion reactions and indicate a "memory effect" in time-dependent Hartree-Fock. We observe strong dissipation but no evidence for complete equilibration.

12 pages, 10 figures

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Cited by in corpus (10)

• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• The TDHF Code Sky3D
• Heavy-ions collisions and fission dynamics with the time-dependent Hartree-Fock theory and its extensions
• Low-Energy Heavy-Ion Reactions and the Skyrme Effective Interaction
• Dissipation dynamics and spin-orbit force in time-dependent Hartree-Fock theory
• Single-particle dissipation in TDHF studied from a phase-space perspective
• Importance of realistic phase space representations of initial quantum fluctuations using the stochastic mean-field approach for fermions
• Estimating the relevance of predictions from nuclear mean-field models
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Role of two-body dissipation on the mean-field dynamics validity