Single-particle dissipation in TDHF studied from a phase-space perspective

TL;DR

This paper investigates dissipation and relaxation in nuclear collisions using an extended phase-space approach within TDHF, analyzing how different Skyrme force parameters affect nuclear stopping and transparency.

Contribution

It introduces a geometrically unrestricted framework for calculating the full six-dimensional Wigner distribution in TDHF, enabling detailed phase-space analysis of nuclear matter.

Findings

Quantitative analysis of stopping power and transparency in nuclear collisions.

Impact of Skyrme force parametrizations on dissipation processes.

Role of time-odd terms in the Skyrme functional on nuclear dynamics.

Abstract

We study dissipation 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.