Behavior of the collective rotor in wobbling motion

Abstract

The behavior of the collective rotor in wobbling motion is investigated within the particle-rotor model for the nucleus ${}^{135}$Pr by transforming the wave functions from the $K$-representation to the $R$-representation. After reproducing the experimental energy spectra and wobbling frequencies, the evolution of the wobbling mode in ${}^{135}$Pr, from transverse at low spins to longitudinal at high spins, is illustrated by the distributions of the total angular momentum in the intrinsic reference frame (azimuthal plot). Finally, the coupling schemes of the angular momenta of the rotor and the high-$j$ particle for transverse and longitudinal wobbling are obtained from the analysis of the probability distributions of the rotor angular momentum ($R$-plots) and their projections onto the three principal axes ($K_R$-plots).

21 pages, 9 pages

References in corpus (8)

• Transverse Wobbling in ${}^{135}$Pr
• Chiral geometry in symmetry restored states: Chiral doublet bands in 128Cs
• Collective Hamiltonian for wobbling modes
• Tilted-axis wobbling in odd-mass nuclei
• Reexamine the nuclear chiral geometry from the orientation of the angular momentum
• Wobbling motion in ${}^{135}$Pr within a collective Hamiltonian
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei
• Wobbling geometry in simple triaxial rotor

Cited by in corpus (16)

• Experimental Evidence for Transverse Wobbling in ${}^{105}$Pd
• Longitudinal Wobbling Motion in ${}^{187}$Au
• First Observation of Multiple Transverse Wobbling Bands of Different Kinds in ${}^{183}$Au
• Transverse wobbling in an even-even nucleus
• Diversity of shapes and rotations in the gamma-soft 130Ba nucleus: first observation of a t-band in the A=130 mass region
• $g$-factor and static quadrupole moment for the wobbling mode in ${}^{133}$La
• Behavior of the collective rotor in nuclear chiral motion
• Static quadrupole moments of nuclear chiral doublet bands
• Two-dimensional collective Hamiltonian for chiral and wobbling modes II: Electromagnetic transitions
• Possible chiral doublets in ${}^{60}$Ni
• Multiple chiral bands in ${}^{137}$Nd
• $g$-factor and static quadrupole moment of ${}^{135}$Pr, ${}^{105}$Pd, and ${}^{187}$Au in wobbling motion
• Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei
• Influence of triaxial deformation on wobbling motion in even-even nuclei
• Coexistence of planar and aplanar rotations in ${}^{195}$Tl
• Negative-parity high-spin structure of 105Pd