Woods-Saxon-type of mean-field potentials with effective mass derived from the D1S Gogny force

TL;DR

This paper derives analytic Woods-Saxon-type mean-field potentials with space-dependent effective mass from the D1S Gogny force, providing a practical alternative to existing phenomenological models for the entire nuclear chart.

Contribution

It introduces a new analytic form of mean-field potentials with effective mass derived from the Gogny force, applicable across the nuclear chart.

Findings

Analytic potentials are derived for the entire nuclear chart.

The potentials incorporate space-dependent effective mass.

They serve as ready-to-use alternatives to existing models.

Abstract

Analytic average mean-field potentials of the Fermi-function (Woods-Saxon) type for the whole nuclear chart with space-dependent effective mass are deduced from the D1S Gogny force. Those ready-for-use potentials are advertised as an alternative to other existing phenomenological mean-field potentials.