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

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 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.

6 pages, 4 figures

References in corpus (13)

• Transverse Wobbling in ${}^{135}$Pr
• Experimental Evidence for Transverse Wobbling in ${}^{105}$Pd
• First Observation of Multiple Transverse Wobbling Bands of Different Kinds in ${}^{183}$Au
• Transverse wobbling in an even-even nucleus
• Parametrizations of triaxial deformation and E2 transitions of the wobbling band
• Collective Hamiltonian for wobbling modes
• Diversity of shapes and rotations in the gamma-soft 130Ba nucleus: first observation of a t-band in the A=130 mass region
• Two quasiparticle wobbling in the even-even nucleus 130Ba
• $g$-factor and static quadrupole moment for the wobbling mode in ${}^{133}$La
• Wobbling motion in ${}^{135}$Pr within a collective Hamiltonian
• Static quadrupole moments of nuclear chiral doublet bands
• Wobbling geometry in simple triaxial rotor
• Influence of triaxial deformation on wobbling motion in even-even nuclei

Cited by in corpus (1)

• Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei