Mean field and beyond description of nuclear structure with the Gogny force: A review

TL;DR

This review discusses the use of the Gogny force in nuclear structure modeling, highlighting its simplicity, versatility in mean field and beyond, and its successful application in reproducing experimental data and understanding nuclear phenomena.

Contribution

It provides a comprehensive overview of the current state of many-body techniques with the Gogny force, emphasizing symmetry restoration and collective motion.

Findings

Good agreement with experimental data across the nuclide chart

Effective in describing symmetry restoration phenomena

Useful for modeling large amplitude collective motion

Abstract

Nowadays, the Gogny force is a referent in the theoretical description of nuclear structure phenomena. Its phenomenological character manifests in a simple analytical form that allows for implementations of techniques both at the mean field and beyond all over the nuclide chart. Over the years, multiple applications of the standard many-body techniques in an assorted set of nuclear structure applications have produced results which are in a rather good agreement with experimental data. The agreement allows for a simple interpretation of those intriguing phenomena in simple terms and gives confidence on the predictability of the interaction. The present status on the implementation of different many body techniques with the Gogny force is reviewed with a special emphasis on symmetry restoration and large amplitude collective motion.