Ground-state properties of even and odd Magnesium isotopes in a symmetry-conserving approach

TL;DR

This paper introduces a comprehensive self-consistent method for accurately describing ground-state properties of Magnesium isotopes, including odd and even nuclei, using symmetry projection and a finite-range force.

Contribution

It develops a novel symmetry-conserving approach with exact blocking and projection techniques, improving the description of nuclear ground states compared to previous models.

Findings

Excellent agreement with experimental binding energies

Accurate reproduction of odd-even mass differences

Precise predictions of electromagnetic moments

Abstract

We present a self-consistent theory for odd nuclei with exact blocking and particle number and angular momentum projection. The demanding treatment of the pairing correlations in a variation-after-projection approach as well as the explicit consideration of the triaxial deformation parameters in a projection after variation method, together with the use of the finite-range density-dependent Gogny force, provides an excellent tool for the description of odd-even and even-even nuclei. We apply the theory to the Magnesium isotopic chain and obtain an outstanding description of the ground-state properties, in particular binding energies, odd-even mass differences, mass radii and electromagnetic moments among others.