Collectivity in small and large amplitude microscopic mean-field dynamic

TL;DR

This paper reviews recent advances in microscopic mean-field dynamics using TD-BCS, focusing on mapping microscopic to macroscopic collective motion, extracting collective mass, and analyzing dissipation during fission.

Contribution

It introduces a method to extract collective mass from TD-EDF and applies it to fission, linking microscopic dynamics to macroscopic collective behavior.

Findings

Collective mass and momentum can be estimated along the fission path.

Non-adiabatic effects influence the collective dynamics.

Dissipation onset during fission is discussed based on the extracted parameters.

Abstract

The time-dependent energy density functional with pairing allows to describe a large variety of phenomena from small to large amplitude collective motion. Here, we briefly summarize the recent progresses made in the field using the TD-BCS approach. A focus is made on the mapping of the microscopic mean-field dynamic to the macroscopic dynamic in collective space. A method is developed to extract the collective mass parameter from TD-EDF. Illustration is made on the fission of $^{258}$Fm. The collective mass and collective momentum associated to quadrupole deformation including non-adiabatic effects is estimated along the TD-EDF path. With these information, the onset of dissipation during fission is discussed.