Science China

[paper] Relativistic description of second-order correction to nuclear magnetic moments with point-coupling residual interaction

Relativistic description of second-order correction to nuclear magnetic moments with point-coupling residual interaction

Jian Li et al.

doi: 10.1007/s11433-010-4215-7

Using the single particle states and the residual interaction derived from the relativistic point-coupling model with the PC-F1 parameter set, the second-order core polarization corrections to nuclear magnetic moments of LS closed shell nuclei ±1 nucleon with A = 15, 17, 39 and 41 are studied and compared with previous non-relativistic results. It is found that the second-order corrections are significant. With these corrections, the isovector magnetic moments of the concerned nuclei are well reproduced, especially those for A = 17 and A = 41.

[paper] g factors of nuclear low-lying states: A covariant description

g factors of nuclear low-lying states: A covariant description

JangMing Yao et al.

doi: 10.1007/s11433-010-4214-8

The g factors and spectroscopic quadrupole moments of low-lying excited states 2+1 , … , 8+1 in 24Mg are studied in a covariant density functional theory. The wave functions are constructed by configuration mixing of axially deformed mean-field states projected on good angular momentum. The mean-field states are obtained from the constraint relativistic point-coupling model plus BCS calculations using the PC-F1 parametrization for the particle-hole channel and a density-independent delta-force for the particle-particle channel. The available experimental g factor and spectroscopic quadrupole moment of 2+1 state are reproduced quite well. The angular momentum dependence of g factors and spectroscopic quadrupole moments, as well as the effects of pairing correlations are investigated.

[paper] The orbital g-factor and related sum rules

The orbital g-factor and related sum rules

Wolfgang Bentz and Akito Arima

doi: 10.1007/s11433-010-4224-6

The renormalization of the orbital g-factor in nuclei is discussed on the basis of gauge invariance. The relation of the orbital g-factor to the integrated E1 photoabsorption cross section is reviewed, and its relation to the M1 sum rule for the scissors mode of deformed nuclei is examined.

[paper] g factors of nuclear low-lying states: A covariant description

g factors of nuclear low-lying states: A covariant description

JiangMing Yao et al.

doi: 10.1007/s11433-010-4214-8

The g factors and spectroscopic quadrupole moments of low-lying excited states 21+, …, 81+ in 24Mg are studied in a covariant density functional theory. The wave functions are constructed by configuration mixing of axially deformed mean-field states projected on good angular momentum. The mean-field states are obtained from the constraint relativistic point-coupling model plus BCS calculations using the PC-F1 parametrization for the particle-hole channel and a density-independent delta-force for the particle-particle channel. The available experimental g factor and spectroscopic quadrupole moment of 21/+ state are reproduced quite well. The angular momentum dependence of g factors and spectroscopic quadrupole moments, as well as the effects of pairing correlations are investigated

[paper] Magnetic moments of 33Mg in the time-odd relativistic mean field approach

Magnetic moments of 33Mg in the time-odd relativistic mean field approach

Jian Li et al.

doi: 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 33Mg with effective interaction PK1. The ground state of 33Mg has been found to be prolate deformed, β2=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 µN is obtained with the effective electromagnetic current which well reproduces the data −0.7456 µN 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.