The phonon-coupling model for Skyrme forces

TL;DR

This paper reviews the self-consistent RPA based on Skyrme energy-density functionals and introduces an extension that includes phonon coupling to single-particle states, with numerical results and theoretical comparisons.

Contribution

It presents a novel extension of the RPA incorporating phonon coupling within the Skyrme framework and derives related Landau-Migdal parameters.

Findings

Numerical results show improved agreement with experimental data.

Derived density-dependent Landau-Migdal parameters.

Compared self-consistent approach with traditional Landau-Migdal theory.

Abstract

A short review on the self-consistent RPA based on a energy-density functional of the Skyrme type is given. We also present an extension of the RPA where the coupling of phonons to the single-particle states is considered. Within this approach we present numerical results which are compared with data. The self-consistent approach is compared with the Landau-Migdal theory. Here we derive from the self-consistent $ph$ interaction, the Landau-Migdal parameters as well as their density dependence. In the Appendix a new derivation of the reduced matrix elements of the $ph$ interaction is presented.