Skyrme pseudo-potential-based EDF parametrisation for spuriousity-free MR-EDF calculations

TL;DR

This paper explores developing a Skyrme energy density functional based on pseudo-potentials that reduces spurious effects in multi-reference calculations, highlighting the need for higher-order terms for better accuracy.

Contribution

It introduces a pseudo-potential-based Skyrme EDF with added contact terms to mitigate spuriousity in multi-reference calculations, a novel approach in this context.

Findings

Qualitatively acceptable fit achieved with simple contact terms

Higher-order velocity-dependent terms needed for quantitative accuracy

First steps towards a spuriousity-free multi-reference EDF

Abstract

First exploratory steps towards a pseudo-potential-based Skyrme energy density functional for spuriousity-free multi-reference calculations are presented. A qualitatively acceptable fit can be accomplished by adding simple three- and four-body contact terms to the standard central plus spin-orbit two-body terms. To achieve quantitative predictive power, higher-order terms, e.g. velocity-dependent three-body terms, will be required.