Two-dimensional collective Hamiltonian for chiral and wobbling modes

Abstract

A two-dimensional collective Hamiltonian (2DCH) on both azimuth and polar motions in triaxial nuclei is proposed to investigate the chiral and wobbling modes. In the 2DCH, the collective potential and the mass parameters are determined from three-dimensional tilted axis cranking (TAC) calculations. The broken chiral and signature symmetries in the TAC solutions are restored by the 2DCH. The validity of the 2DCH is illustrated with a triaxial rotor ($\gamma =-30^{\circ }$) coupling to one $h_{11/2}$ proton particle and one $h_{11/2}$ neutron hole. By diagonalizing the 2DCH, the angular momenta and energy spectra are obtained. These results agree with the exact solutions of the particle rotor model (PRM) at high rotational frequencies. However, at low frequencies, the energies given by the 2DCH are larger than those by the PRM due to the underestimation of the mass parameters. In addition, with increasing angular momentum, the transitions from the chiral vibration to chiral rotation and further to longitudinal wobbling motion have been presented in the 2DCH.

30 pages, 12 figures

References in corpus (12)

• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Novel structure for magnetic rotation bands in 60Ni
• From chiral vibration to static chirality in ^{135}Nd
• Chiral bands for quasi-proton and quasi-neutron coupling with a triaxial rotor
• Rod-shaped Nuclei at Extreme Spin and Isospin
• Transverse Wobbling in ${}^{135}$Pr
• Collective Hamiltonian for chiral modes
• Microscopic calculation of the wobbling excitations by using the Woods-Saxon potential as a nuclear mean-field
• Collective Hamiltonian for wobbling modes
• Parametrizations of triaxial deformation and E2 transitions of the wobbling band
• Chiral geometry of higher excited bands in triaxial nuclei with particle-hole configuration
• Wobbling geometry in simple triaxial rotor

Cited by in corpus (10)

• Multiple Chirality in Nuclear Rotation: A Microscopic View
• Experimental Evidence for Transverse Wobbling in ${}^{105}$Pd
• Chiral geometry in symmetry restored states: Chiral doublet bands in 128Cs
• Dynamics of rotation in chiral nuclei
• Recent progress in multiple chiral doublet bands
• Multi-chiral facets in symmetry restored states: Five chiral doublets candidates in even-even nucleus ${}^{136}$Nd
• A microscopic resolution of the chiral conundrum with crossing twin bands in Ag-106
• Possible chiral doublets in ${}^{60}$Ni
• Towards a new semi-classical interpretation of the wobbling motion in ${}^{163}$Lu
• The role of scalar and mass interactions in a relativistic model of the charmonium spectrum