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

Abstract

The g-factor and static quadrupole moment of the nuclides 135Pr, 105Pd, and 187Au in the wobbling motion are investigated in the particle-rotor model as functions of the total spin I. The g-factor of 105Pd increases with increasing I, due to the negative gyromagnetic ratio of a neutron valence-neutron. This behavior is in contrast to the decreasing g-factor of the other two nuclides, 135Pr and 187Au, 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 135Pr and 105Pd, while larger for the longitudinal wobbler 187Au.

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