Magnetic moments of $^{33}$Mg in time-odd relativistic mean field approach

TL;DR

This study uses a time-odd relativistic mean field approach to accurately predict the magnetic moment and ground-state deformation of $^{33}$Mg, aligning well with experimental data without additional parameters.

Contribution

It applies a configuration-fixed deformation constrained relativistic mean field method with time-odd components to investigate $^{33}$Mg's properties, providing detailed insights into magnetic moments and nuclear structure.

Findings

Ground state is prolate deformed with $eta_2=0.23$

Magnetic moment predicted as -0.9134 $$

Energy closely matches experimental data

Abstract

The configuration-fixed deformation constrained relativistic mean field approach with time-odd component has been applied to investigate the ground-state properties of $^{33}$Mg with effective interaction PK1. The ground state of $^{33}$Mg has been found to be prolate deformed, $\beta_2=0.23$, with the odd neutron in $1/2[330]$ orbital and the energy -251.85 MeV which is close to the data -252.06 MeV. The magnetic moment $- 0.9134 \mu_\mathrm{N}$ is obtained with the effective electromagnetic current which well reproduces the data $- 0.7456 \mu_\mathrm{N}$ self-consistently without introducing any parameter. The energy splittings of time reversal conjugate states, the neutron current, the energy contribution from the nuclear magnetic potential, and the effect of core polarization are discussed in detail.