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.

arXiv comment28 pages, 17 figures

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Cited by in corpus (18)

• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Experimental Evidence for Transverse Wobbling in ${}^{105}$Pd
• Impact of pairing correlations on the orientation of the nuclear
• Behavior of the collective rotor in wobbling motion
• Two-dimensional collective Hamiltonian for chiral and wobbling modes
• Tilted-axis wobbling in odd-mass nuclei
• Two quasiparticle wobbling in the even-even nucleus 130Ba
• Wobbling motion in ${}^{135}$Pr within a collective Hamiltonian
• Two-dimensional collective Hamiltonian for chiral and wobbling modes II: Electromagnetic transitions
• Conjunction of $\gamma$-rigid and $\gamma$-stable collective motion in the critical point of the phase transition from spherical to deformed nuclear shapes
• Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory
• $g$-factor and static quadrupole moment of ${}^{135}$Pr, ${}^{105}$Pd, and ${}^{187}$Au in wobbling motion
• Wobbling geometry in simple triaxial rotor
• Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei
• Influence of triaxial deformation on wobbling motion in even-even nuclei
• Chiral geometry in multiple chiral doublet bands
• Tidal wave in ${}^{102}$Pd: An extended five-dimensional collective Hamiltonian description
• Triaxial dynamics in the quadrupole-deformed rotor