Chiral geometry in symmetry restored states: Chiral doublet bands in 128Cs

Abstract

The pairing-plus-quadrupole Hamiltonian is diagonalized in a symmetry restored basis, i.e., the triaxial quasiparticle-states with angular momentum and particle number projections, and applied for chiral doublet bands in 128Cs. The observed energy spectra and electromagnetic transition probabilities are reproduced well without introducing any parameter. The orientation of the angular momentum in the intrinsic frame is investigated by the distributions of its components on the three principle axes as well as those of its tilted angles. The evolution of the chirality with spin is illustrated and the chiral geometry is demonstrated in the angular momentum projected model for the first time.

12 pages, 4 figures

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• Dynamics of rotation in chiral nuclei
• Two quasiparticle wobbling in the even-even nucleus 130Ba
• Selection rules of electromagnetic transitions for chirality-parity violation in atomic nuclei
• Pseudospin symmetry and octupole correlations for multiple chiral doublets in 131Ba
• Multi-chiral facets in symmetry restored states: Five chiral doublets candidates in even-even nucleus ${}^{136}$Nd
• Possible chiral doublets in ${}^{60}$Ni
• Nuclear matrix elements of neutrinoless double-$\beta$ decay in the triaxial projected shell model
• Nuclear chiral rotation induced by superfluidity
• Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei
• Influence of triaxial deformation on wobbling motion in even-even nuclei
• High-Spin Doublet Band Structures in odd-odd ${}^{194-200}$Tl isotopes
• The role of scalar and mass interactions in a relativistic model of the charmonium spectrum