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

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

Automated summary

The g-factor and static quadrupole moment of Pr-135, Pd-105, and Au-187 in wobbling motion were investigated as functions of the total spin I. The g-factor of Pd-105 increases with increasing I, while the g-factor of Pr-135 and Au-187 decreases. The static quadrupole moment shows variations among the three nuclides depending on the band structure.