# Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions

## TL;DR

This paper extends relativistic energy density functionals to include symmetry restoration and shape fluctuations, using the generator coordinate method to analyze triaxial deformations and K-mixing effects on low-spin states in magnesium-24.

## Contribution

It introduces a new framework combining relativistic mean-field calculations with configuration mixing for triaxial shapes, enhancing the description of nuclear spectroscopic properties.

## Key findings

- Triaxial deformation significantly affects low-spin state properties.
- K-mixing influences the energy spectra and transition probabilities.
- The method provides improved agreement with experimental data.

## Abstract

The framework of relativistic energy density functionals is extended to include correlations related to the restoration of broken symmetries and to fluctuations of collective variables. The generator coordinate method is used to perform configuration mixing of angular-momentum projected wave functions, generated by constrained self-consistent relativistic mean-field calculations for triaxial shapes. The effects of triaxial deformation and of $K$-mixing is illustrated in a study of spectroscopic properties of low-spin states in $^{24}$Mg.