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

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

2009-10-21

arxiv.org/abs/0910.4090v1

Science in China Series G: Physics Mechanics and Astronomy, Vol. 52, No. 10 (2009), 1586-1592

Physics

Nuclear Physics

Nuclear Theory

13 pages, 4 figures

Scientific paper

10.1007/s11433-009-0194-y

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.

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