Investigation of doublet-bands in 124,126,130,132Cs odd–odd nuclei using triaxial projected shell model approach

Abstract

Doublet bands observed in 124,126,130,132 Cs isotopes are studied using the recently developed multi-quasiparticle microscopic triaxial projected shell model (TPSM) approach. It is shown that TPSM results for energies and transition probabilities are in good agreement with known energies and the recently measured extensive data on transition probabilities for the bands in 126 Cs. In particular, it is demonstrated that characteristics transition probabilities expected for the doublet bands to originate from the chiral symmetry breaking are well reproduced in the present work. The calculated energies for 124,130,132 Cs are also shown to be in reasonable agreement with the available experimental data. Furthermore, a complete set of the calculated transition probabilities is provided for the doublet bands in 124,130,132 Cs isotopes.

Reexamining nuclear chiral geometry from the orientation of the angular momentum

“…Theoretically, various approaches have been developed extensively to investigate chiral doublet bands. For example, the particle rotor model (PRM) [1,33,34,38,[45][46][47], the titled axis cranking (TAC) model [31,32,44,48], the TAC plus random-phase approximation (RPA) [49], the collective Hamiltonian method [50,51], the interacting boson-fermionfermion model [52], and the angular momentum projection (AMP) method [39,40,[53][54][55]. In this work, the PRM will be used.…”

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

“…The attempts to understand the chiral doublet bands by the projected shell model have been made in Refs. [42,43]. However, it is a big challenge to examine the chiral geometry of angular momentum in the AMP approach due to the complication that projected basis is defined in the laboratory frame and forms a non-orthogonal set.…”

Structure ofLa130at low and medium spins

“…One of the most striking features was the observation of the nearly degenerate doublet bands built on the πh 11/2 ⊗ νh 11/2 configuration, interpreted as the manifestation of chiral symmetry breaking [1]. This phenomenon has been rather intensively investigated in recent years both experimentally [2][3][4][5][6][7][8] and theoretically [9][10][11][12][13][14].…”