Three-dimensional angular momentum projection in relativistic mean-field theory

TL;DR

This paper introduces a novel three-dimensional angular momentum projection method within relativistic mean-field theory, enabling precise extraction of angular momentum states from deformed nuclei, demonstrated on magnesium isotopes.

Contribution

It is the first implementation of 3D angular momentum projection in relativistic mean-field theory using a consistent effective interaction and pairing treatment.

Findings

Successfully applied to isotopes 24Mg, 30Mg, and 32Mg.

Reproduces experimental data for deformed nuclei.

Demonstrates the method's effectiveness for triaxial shapes.

Abstract

Based on a relativistic mean-field theory with an effective point coupling between the nucleons, three-dimensional angular momentum projection is implemented for the first time to project out states with designed angular momentum from deformed intrinsic states generated by triaxial quadrupole constraints. The same effective parameter set PC-F1 of the effective interaction is used for deriving the mean field and the collective Hamiltonian. Pairing correlations are taken into account by the BCS method using both monopole forces and zero range d-forces with strength parameters adjusted to experimental even-odd mass differences. The method is applied successfully to the isotopes 24Mg, 30Mg, and 32Mg.