English

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

Nuclear Theory 2012-01-26 v1

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^{40}Ca+40^{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^{24}Mg+208^{208}Pb.

Keywords

Cite

@article{arxiv.1201.5269,
  title  = {Phase space structure and dynamics within the time-dependent Hartree-Fock approach},
  author = {N. Loebl and A. S. Umar and J. A. Maruhn and P. -G. Reinhard and P. D. Stevenson and V. E. Oberacker},
  journal= {arXiv preprint arXiv:1201.5269},
  year   = {2012}
}

Comments

10 pages, 7 figures, 4 videos

R2 v1 2026-06-21T20:09:32.865Z