Three-dimensional angular momentum projected relativistic point-coupling approach for the low-lying excited states in $^{24}$Mg

TL;DR

This paper introduces a novel three-dimensional angular momentum projection method based on a triaxial relativistic mean-field calculation with point-coupling and pairing, applied to low-lying states in 24Mg, achieving good agreement with experimental data.

Contribution

It implements the first full 3D angular momentum projection on a triaxial relativistic mean-field model with point coupling for nuclear excited states.

Findings

Accurate reproduction of ground state properties of 24Mg.

Identification of a potential energy minimum for the 2+ state.

Calculated rotational spectra and B(E2) transition probabilities match experimental data.

Abstract

A full three-dimensional angular momentum projection on top of a triaxial relativistic mean-Geld calculation is implemented for the first time. The underlying Lagrangian is a point coupling model and pairing correlations are taken into account by a monopole force. This method is applied for the low-lying excited states in 24Mg. Good agreement with the experimental data is found for the ground state properties. A minimum in the potential energy surface for the 2+ state, with beta = 0.55, gamma = 10 deg, is used as the basis to investigate the rotational energy spectrum as well as the corresponding B(E2) transition probabilities as compared to the available data.