Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions. II. Microscopic analysis of low-lying states in magnesium isotopes

TL;DR

This paper applies a sophisticated relativistic mean-field model with configuration mixing to systematically study low-lying states in magnesium isotopes, highlighting the impact of triaxial shapes on nuclear spectra and transitions.

Contribution

It introduces a comprehensive 3DAMP+GCM approach with relativistic interactions to analyze magnesium isotopes, extending previous axial models and incorporating triaxial degrees of freedom.

Findings

Triaxial shapes significantly influence low-energy spectra.

The model reproduces experimental data well.

Triaxial effects alter E2 transition strengths.

Abstract

The recently developed structure model that uses the generator coordinate method to perform configuration mixing of angular-momentum projected wave functions, generated by constrained self-consistent relativistic mean-field calculations for triaxial shapes (3DAMP+GCM), is applied in a systematic study of ground states and low-energy collective states in the even-even magnesium isotopes $^{20-40}$Mg. Results obtained using a relativistic point-coupling nucleon-nucleon effective interaction in the particle-hole channel, and a density-independent $\delta$-interaction in the pairing channel, are compared to data and with previous axial 1DAMP+GCM calculations, both with a relativistic density functional and the non-relativistic Gogny force. The effects of the inclusion of triaxial degrees of freedom on the low-energy spectra and E2 transitions of magnesium isotopes are examined.