Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional

TL;DR

This paper introduces a comprehensive method combining mean-field states with symmetry projections and generator coordinate mixing to analyze nuclear structure, specifically applied to Mg24 to study triaxial deformations and K-mixing effects.

Contribution

It develops a seven-dimensional GCM approach that simultaneously mixes quadrupole degrees of freedom and gauge angles, advancing nuclear structure modeling.

Findings

Detailed analysis of triaxial deformation effects in Mg24

Insights into K-mixing phenomena in nuclear states

Demonstration of the method's capability for complex nuclear configurations

Abstract

We present a method based on mean-field states generated by triaxial quadrupole constraints which are projected on particle number and angular momentum and mixed by the generator coordinate method on the quadrupole moment. This method is equivalent to a seven-dimensional GCM calculation, mixing all five degrees of freedom of the quadrupole operator and the gauge angles for protons and neutrons. A first application to Mg24 permits to analyze in detail the effects of triaxial deformations and of K-mixing.