Particle-Number Projected Hartree-Fock-Bogoliubov Study with Effective Shell Model Interactions

TL;DR

This study applies particle-number projected Hartree-Fock-Bogoliubov methods with realistic shell model interactions to sd- and fp-shell nuclei, revealing shape differences in neutron-rich isotopes compared to unprojected calculations.

Contribution

It introduces a symmetry-projected HFB approach with empirical shell model interactions, providing new insights into nuclear shape predictions for neutron-rich isotopes.

Findings

Projected results differ from bare HFB in neutron-rich isotopes.

Energy surfaces are similar between shell model and density functional approaches.

Particle-number projection affects ground-state shape predictions.

Abstract

We perform particle-number projected mean-field study using the recently developed symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations. Realistic calculations have been performed in sd- and fp-shell nuclei using the shell model empirical intearctions, USD and GXPFIA. It is demonstrated that the mean-field results for energy surfaces, obtained with these shell model interactions, are quite similar to those obtained using the density functional approaches. Further, it is shown that particle-number projected results, for neutron rich isotopes, can lead to different ground-state shapes in comparison to the bare HFB calculations.