-factor and Static Quadrupole Moment for the Wobbling Mode in La
Q.B. Chen (Physik-Department, Technische Universität München, Garching, Germany)
; S. Frauendorf (Physics Department, University of Notre Dame, Notre Dame, USA); N. Kaiser (Physik-Department, Technische Universität München, Garching, Germany); Ulf-G. Meißner (Institute for Advanced Simulation, Institut für Kernphysik, Jülich Center for Hadron Physics, Forschungszentrum Jülich, Jülich, Germany, Helmholtz-Institut für Strahlen- und Kernphysik, Bethe Center for Theoretical Physics, Universität Bonn, Bonn, Germany, Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia); J. Meng (Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, Japan, State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing, China)
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 the 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 . 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. Differences of the static quadrupole moment between the wobbling and yrast band originate from a wobbling excitation with respect to the short axis.
