Collective Hamiltonian for wobbling modes

Abstract

The simple, longitudinal, and transverse wobblers are systematically studied within the framework of collective Hamiltonian, where the collective potential and mass parameter included are obtained based on the tilted axis cranking approach. Solving the collective Hamiltonian by diagonalization, the energies and the wave functions of the wobbling states are obtained. The obtained results are compared with those by harmonic approximation formula and particle rotor model. The wobbling energies calculated by the collective Hamiltonian are closer to the exact solutions by particle rotor model than harmonic approximation formula. It is confirmed that the wobbling frequency increases with the rotational frequency in simple and longitudinal wobbling motions while decreases in transverse wobbling motion. These variation trends are related to the stiffness of the collective potential in the collective Hamiltonian.

28 pages, 17 figures

References in corpus (5)

• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• From chiral vibration to static chirality in ^{135}Nd
• Collective Hamiltonian for chiral modes
• Microscopic calculation of the wobbling excitations by using the Woods-Saxon potential as a nuclear mean-field
• Parametrizations of triaxial deformation and E2 transitions of the wobbling band

Cited by in corpus (7)

• Experimental Evidence for Transverse Wobbling in ${}^{105}$Pd
• Two-dimensional collective Hamiltonian for chiral and wobbling modes
• Two quasiparticle wobbling in the even-even nucleus 130Ba
• Wobbling motion in ${}^{135}$Pr within a collective Hamiltonian
• Conjunction of $\gamma$-rigid and $\gamma$-stable collective motion in the critical point of the phase transition from spherical to deformed nuclear shapes
• Wobbling geometry in simple triaxial rotor
• Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei