Toward global beyond-mean-field calculations of nuclear masses and low-energy spectra

TL;DR

This paper presents advanced nuclear mass and spectra calculations using self-consistent mean field and beyond-mean-field methods with Gogny functionals, comparing results to experimental data and analyzing the effects of BMF corrections.

Contribution

It introduces a comprehensive beyond-mean-field approach for nuclear masses and spectra that includes shape mixing and symmetry restoration without Gaussian overlap assumptions.

Findings

BMF corrections improve agreement with experimental data.

Including BMF effects reduces magic shell gaps.

Convergence of results is demonstrated.

Abstract

Self-consistent mean field (MF) and beyond-mean-field (BMF) calculations of masses, separation energies and $2^{+}_{1}$ excitation energies of even-even nuclei where experimental data is available are presented. The functionals used are based on the Gogny D1S and D1M parametrizations and the method includes beyond-mean-field corrections coming from both axial quadrupole shape mixing and symmetry restorations without assuming gaussian overlap approximations. A comparison between mean field, beyond-mean-field approaches and the experimental data is provided. Additionally, the convergence of the results and the possible reduction of the magic shell gaps by including BMF effects are also discussed.