$g$-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 ${}^{135}$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 ${}^{105}\mathrm{P}\mathrm{d}$ 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, ${}^{135}$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.