$g$-factor and static quadrupole moment for the wobbling mode in ${}^{133}$La

Abstract

The $g$-factor and static quadrupole moment for the wobbling mode in the nuclide ${}^{133}$La are investigated as functions of the spin $I$by employing the particle rotor model. The model can reproduce the available experimental data of $g$-factor and static quadrupole moment. The properties of the $g$-factor and static quadrupole moment as functions of $I$ are interpreted by analyzing the angular momentum geometry of the collective rotor, proton-particle, and total nuclear system. It is demonstrated that the experimental value of the $g$-factor at the bandhead of the yrast band leads to the conclusion that the rotor angular momentum is $R\simeq 2$. Furthermore, the variation of the $g$-factor with the spin $I$ yields the information that the angular momenta of the proton-particle and total nuclear system are oriented parallel to each other. The negative values of the static quadrupole moment over the entire spin region are caused by an alignment of the total angular momentum mainly along the short axis. Static quadrupole moment differences between the wobbling and yrast band originate from a wobbling excitation with respect to the short axis.

6 pages, 4 figures

References in corpus (6)

• Transverse Wobbling in ${}^{135}$Pr
• Experimental Evidence for Transverse Wobbling in ${}^{105}$Pd
• 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
• Static quadrupole moments of nuclear chiral doublet bands
• Wobbling geometry in simple triaxial rotor

Cited by in corpus (2)

• Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei
• The role of scalar and mass interactions in a relativistic model of the charmonium spectrum