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

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 factor of a 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.