Effect of time-reversal symmetry breaking on static properties of rare-earth nuclei within Hartree-Fock-Plus-Bardeen-Cooper-Schrieffer approach

Abstract

In the recent years, there has been an increase of studies on odd-mass nuclei at the mean-field calculations but there is lack of exploration on the rareearth nuclei. A study on global static properties of odd-mass rare-earth nuclei was carried out within Hartree-Fock-plus-Bardeen-Cooper-Schrieffer (HF+BCS) approach. Effective nucleon-nucleon interaction of the SIII Skyrme was adopted while the pairing interaction was approximated by a seniority force. Calculations were carried out at ground state by blocking the single-particle level using three different methods namely the perturbative method and the equal-filling-approximation (EFA) whereby the timereversal symmetry is preserved and the self-consistent blocking (SCB) in which the time-reversal symmetry is broken at the mean-field level. The static nuclear properties such as charge radii, magnetic dipole moment and spectroscopic electric quadrupole moment are tabulated and compared with experimental data. It was found that the charge radii and spectroscopic electric quadrupole moment are not affected by the time-reversal symmetry. The magnetic dipole moment obtained from SCB approach and perturbative approach with quenching have better agreement with the experimental data than perturbative without quenching. This verifies the fact that the effect of time-reversal symmetry is important when describing magnetic dipole moment.