Phase space structure and dynamics within the time-dependent Hartree-Fock approach

TL;DR

This paper advances the understanding of nuclear dynamics by developing a full six-dimensional phase-space analysis within the time-dependent Hartree-Fock framework, revealing new insights into nuclear collision transparency and stopping power.

Contribution

It introduces a geometrically unrestricted TDHF approach enabling comprehensive phase-space analysis of nuclear collisions, including heavy systems and transparency effects.

Findings

First observation of transparency in TDHF for a heavy system

Quantitative analysis of stopping power and transparency effects

Impact of Skyrme force parametrizations and time-odd terms on collision dynamics

Abstract

We study the equilibration and relaxation processes within the time-dependent Hartree-Fock approach using the Wigner distribution function. On the technical side we present a geometrically unrestricted framework which allows us to calculate the full six-dimensional Wigner distribution function. With the removal of geometrical constraints, we are now able to extend our previous phase-space analysis of heavy-ion collisions in the reaction plane to unrestricted mean-field simulations of nuclear matter on a three-dimensional Cartesian lattice. From the physical point of view we provide a quantitative analysis on the stopping power in TDHF. This is linked to the effect of transparency. For the medium-heavy $^{40}$Ca+$^{40}$Ca system we examine the impact of different parametrizations of the Skyrme force, energy-dependence, and the significance of extra time-odd terms in the Skyrme functional. For the first time, transparency in TDHF is observed for a heavy system, $^{24}$Mg+$^{208}$Pb.