Landau parameters for energy density functionals generated by local finite-range pseudopotentials

TL;DR

This paper derives general expressions for Landau parameters in nuclear energy density functionals based on local finite-range pseudopotentials, aiding the analysis of nuclear matter and finite nuclei properties.

Contribution

It introduces new formulas for Landau parameters linked to local finite-range pseudopotentials and applies them to recent parametrizations for nuclear studies.

Findings

Derived general expressions for Landau parameters.

Applied formulas to NLO and N2LO pseudopotentials.

Facilitated analysis of nuclear matter properties.

Abstract

In Landau theory of Fermi liquids, the particle-hole interaction near the Fermi energy in different spin-isospin channels is probed in terms of an expansion over the Legendre polynomials. This provides a useful and efficient way to constrain properties of nuclear energy density functionals in symmetric nuclear matter and finite nuclei. In this study, we present general expressions for Landau parameters corresponding to a two-body central local regularized pseudopotential. We also show results obtained for two recently adjusted NLO and N$^2$LO parametrizations. Such pseudopotentials will be used to determine mean-field and beyond-mean-field properties of paired nuclei across the entire nuclear chart.