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arXiv · 0910.4090

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

Jian Li·Ying Zhang·Jiang-ming Yao·Jie Meng
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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, $β_2=0.23$, 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 $- 0.9134 μ_\mathrm{N}$ is obtained with the effective electromagnetic current which well reproduces the data $- 0.7456 μ_\mathrm{N}$ 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.

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Jian Li, Ying Zhang, Jiang-ming Yao, Jie Meng. 2009-10-21. Magnetic moments of $^{33}$Mg in time-odd relativistic mean field approach. https://doi.org/10.1007/s11433-009-0194-y

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