Wobbling geometry in simple triaxial rotor

Abstract

The spectroscopy properties and angular momentum geometry for the wobbling motion of a simple triaxial rotor are investigated within the triaxial rotor model up to spin $I=40\hslash$. The obtained exact solutions of energy spectra and reduced quadrupole transition probabilities are compared to the approximate analytic solutions by harmonic approximation formula and Holstein-Primakoff formula. It is found that the low lying wobbling bands can be well described by the analytic formulas. The evolution of the angular momentum geometry as well as the $K$-distribution with respect to the rotation and the wobbling phonon excitation are studied in detail. It is demonstrated that with the increasing of wobbling phonon number, the triaxial rotor changes its wobbling motions along the axis with the largest moment of inertia to the axis with the smallest moment of inertia. In this process, a specific evolutionary track that can be used to depict the motion of a triaxial rotating nuclei is proposed.

arXiv comment10 pages, 8 figures, submitted to Chinese Physics C

References in corpus (17)

• Chirality in odd-$A$ nucleus ${}^{135}$Nd in particle rotor model
• Open Problems in Understanding the Nuclear Chirality
• Transverse wobbling-a collective mode in odd-A triaxial nuclei
• Wobbling Motion in Atomic Nuclei with Positive-Gamma Shapes
• Nuclear Wobbling Motion and Electromagnetic Transitions
• Microscopic calculation of the wobbling excitations by using the Woods-Saxon potential as a nuclear mean-field
• Nuclear moments of inertia and wobbling motions in triaxial superdeformed nuclei
• Chirality in odd-$A$ Rh isotopes within triaxial particle rotor model
• Parametrizations of triaxial deformation and E2 transitions of the wobbling band
• Collective Hamiltonian for wobbling modes
• Chiral geometry of higher excited bands in triaxial nuclei with particle-hole configuration
• Instability of nuclear wobbling motion and tilted axis rotation
• High-K Precession modes: Axially symmetric limit of wobbling motion
• Cosmographic constraints on a class of Palatini f(R) gravity
• Wobbling motion in the multi-bands crossing region
• Dynamical moments of inertia associated with wobbling motion in the triaxial superdeformed nucleus
• Semi-classical and anharmonic quantum models of nuclear wobbling motion

Cited by in corpus (11)

• Experimental Evidence for Transverse Wobbling in ${}^{105}$Pd
• First Observation of Multiple Transverse Wobbling Bands of Different Kinds in ${}^{183}$Au
• Behavior of the collective rotor in wobbling motion
• Two-dimensional collective Hamiltonian for chiral and wobbling modes
• Transverse wobbling in an even-even nucleus
• $g$-factor and static quadrupole moment for the wobbling mode in ${}^{133}$La
• Wobbling motion in ${}^{135}$Pr within a collective Hamiltonian
• Semiclassical description of chiral geometry in triaxial nuclei
• Two-dimensional collective Hamiltonian for chiral and wobbling modes II: Electromagnetic transitions
• $g$-factor and static quadrupole moment of ${}^{135}$Pr, ${}^{105}$Pd, and ${}^{187}$Au in wobbling motion
• Influence of triaxial deformation on wobbling motion in even-even nuclei