Chiral geometry in multiple chiral doublet bands

Abstract

The chiral geometry of the multiple chiral doublet bands with identical configuration is discussed for different triaxial deformation parameters γ in the particle rotor model with πh 11/2 ⊗ νh −1 11/2 . The energy spectra, electromagnetic transition probabilities B(M 1) and B(E2), angular momenta, and K-distributions are studied. It is demonstrated that the chirality still remains not only in the yrast and yrare bands, but also in the two higher excited bands when γ deviates from 30 • . The chiral geometry relies significantly on γ, and the chiral geometry of the two higher excited partner bands is not as good as that of the yrast and yrare doublet bands.

Multiple Chiral Bands Built on the Same Many-particle Nucleon Configuration in the 100 Mass Region

“…Contrary to MχD, where the multiple chiral systems differ from each other in their nucleon configurations and correspond to different triaxial deformations, previous calculations performed with a single shell particlerotor model found that more than one pair of chiral bands can exist in a single nucleus with the same particle-hole configuration [1,11,12]. The only multiplet of chiral bands built on the same nucleon configuration was discovered in 103 Rh [13] and possibly in 194 Tl [14].…”

Recent progress in multiple chiral doublet bands

“…Theory-wise, MχD has been investigated with the triaxial PRM [59][60][61][62][63], the combination of triaxial PRM and RMF approaches [3,12,28,51,53,64], the tilted axis cranking model (TAC) with the collective Hamiltonian [65,66] and the projected shell model [67], etc. In this section I shall only focus on the theoretical predictions of MχD.…”

“…As mentioned above, in comparison with the MχD that differ from each other in their triaxial deformations and configurations, MχD may also exist in a single nucleus with the identical configuration. The chiral bands, including the yrast and yrare bands as well as the higher excited bands, have been studied by the triaxial PRM [59][60][61][62], which has been extensively used in studies of chiral doublet bands and yielded lots of successes [64,77,[80][81][82][83][84][85][86][87][88][89]. The PRM calculations [59][60][61][62] showed that the properties of the two higher excited bands, including the excitation energies and selection rule for electromagnetic transitions, were very similar to those of the yrast and yrare bands, which indicated that excited doublet bands could be a pair of chiral partners as well.…”

Progress in Two-dimension Collective Hamiltonian for Chiral Modes

“…Many theoretical approaches have been developed and applied to investigate nuclear chirality, such as the particle rotor model (PRM) [1,[38][39][40][41][42][43][44][45][46], the tilted axis cranking model (TAC) [1,[47][48][49][50], the interacting boson fermionfermion model (IBFFM) [51], and the projected shell model (PSM) [52]. In the mean-field level, the microscopic TAC approach can determine selfconsistently the orientation of angular momentum vector and can be easily applied to the multi-particle configurations.…”