$g$-factor and static quadrupole moment of $^{135}$Pr, $^{105}$Pd, and $^{187}$Au in wobbling motion

Abstract

The g-factor and static quadrupole moment of the nuclides 135 Pr, 105 Pd, and 187 Au in the wobbling motion are investigated in the particle-rotor model as functions of the total spin I. The g-factor of 105 Pd increases with increasing I, due to the negative gyromagnetic ratio of a neutron valenceneutron. This behavior is in contrast to the decreasing g-factor of the other two nuclides, 135 Pr and 187 Au, which feature a valence-proton. The static quadrupole moment Q depends on all three expectation values of the total angular momentum. It is smaller in the yrast band than in the wobbling band for the transverse wobblers 135 Pr and 105 Pd, while larger for the longitudinal wobbler 187 Au.