Eur. Phys. J. A (2021) 57: 161
https://doi.org/10.1140/epja/s10050-021-00482-z

Letter

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

¹ Physik-Department, Technische Universität München, 85747, Garching, Germany
² Department of Physics, East China Normal University, 200241, Shanghai, China
³ Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany
⁴ Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, 52425, Jülich, Germany
⁵ Tbilisi State University, 0186, Tbilisi, Georgia

^b qbchen@pku.edu.cn

Received: 25 March 2021
Accepted: 4 May 2021
Published online: 9 May 2021

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 ${}^{105}\mathrm{Pd}$ 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, ${}^{135}$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.