Properties of Skyrme force as a residual interaction in beyond mean-field theories

TL;DR

This paper investigates the suitability of Skyrme interactions as residual forces in beyond mean-field theories, using TDDM to analyze ground states of oxygen-16 and calcium-40 with various parametrizations.

Contribution

It demonstrates that Skyrme interactions with strong density dependence and weak momentum dependence effectively induce significant ground-state correlations in beyond mean-field calculations.

Findings

Skyrme interactions with strong density dependence enhance correlations.

Weak momentum dependence in Skyrme forces correlates with ground-state properties.

Results align with other theoretical approaches.

Abstract

In an effort to find an effective interaction which can consistently be used for both the mean-field part and the residual part in beyond mean-field theories, properties of the Skyrme interactions as a residual interaction are investigated. The time-dependent density-matrix theory (TDDM) is used as a beyond mean-field theory and the ground states of $^{16}$O and $^{40}$Ca are calculated using the five standard parametrizations of the Skyrme interaction which differs in density and momentum dependence. It is found that the Skyrme interaction which has strong density dependence and weak momentum dependence induces substantial ground-state correlations comparable to the results of other theoretical calculations.