Collective Hamiltonian for chiral modes

Abstract

A collective model is proposed to describe the chiral rotation and vibration and applied to a system with one $h_{11/2}$ proton particle and one $h_{11/2}$ neutron hole coupled to a triaxial rigid rotor. The collective Hamiltonian is constructed from the potential energy and mass parameter obtained in the tilted axis cranking approach. By diagonalizing the collective Hamiltonian with a box boundary condition, it is found that for the chiral rotation, the partner states become more degenerate with the increase of the cranking frequency, and for the chiral vibrations, their important roles for the collective excitation are revealed at the beginning of the chiral rotation region.

16 pages, 8 figures

References in corpus (9)

• Chirality of nuclear rotation
• From chiral vibration to static chirality in ^{135}Nd
• Chirality in odd-$A$ nucleus ${}^{135}$Nd in particle rotor model
• Chiral bands for quasi-proton and quasi-neutron coupling with a triaxial rotor
• Critical frequency in nuclear chiral rotation
• Description of Chiral Doublets in $A\sim 130$ Nuclei and the Possible Chiral Doublets in $A\sim 100$ Nuclei
• Search for the Skyrme-Hartree-Fock Solutions for Chiral Rotation in N=75 Isotones
• Chiral vibrations in the A=135 region
• Chirality in odd-$A$ Rh isotopes within triaxial particle rotor model

Cited by in corpus (27)

• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Multiple Chirality in Nuclear Rotation: A Microscopic View
• Chiral geometry in symmetry restored states: Chiral doublet bands in 128Cs
• Specific features and symmetries for magnetic and chiral bands in nuclei
• Multiple chiral doublets in four-$j$ shells particle rotor model: five possible chiral doublets in ${}_{60}^{136}$Nd${}_{76}$
• Multiple chiral doublet bands with octupole correlations in reflection-asymmetric triaxial particle rotor model
• Two-dimensional collective Hamiltonian for chiral and wobbling modes
• Collective Hamiltonian for wobbling modes
• Reexamine the nuclear chiral geometry from the orientation of the angular momentum
• Chiral geometry and rotational structure for ${}^{130}$Cs in the projected shell model
• Dynamics of rotation in chiral nuclei
• Wobbling motion in ${}^{135}$Pr within a collective Hamiltonian
• Semiclassical description of chiral geometry in triaxial nuclei
• Pseudospin symmetry and octupole correlations for multiple chiral doublets in 131Ba
• Explore nuclear multiple chirality in $A\sim 60$ mass region within covariant density functional theory
• 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
• 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
• Possible chiral doublets in ${}^{60}$Ni
• Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory
• Nuclear chiral rotation induced by superfluidity
• Chiral geometry in multiple chiral doublet bands
• Covariant density functional theory for nuclear chirality in ${}^{135}$Nd
• Tidal wave in ${}^{102}$Pd: An extended five-dimensional collective Hamiltonian description
• The coexistence of possible magnetic and chiral rotation in ${}^{129}\mathrm{Cs}$ and ${}^{131}\mathrm{La}$: a microscopic investigation
• The role of scalar and mass interactions in a relativistic model of the charmonium spectrum