Odd-odd nuclei as the core-particle-hole systems and chirality

Abstract

Abstract. Odd-odd nuclei treated as core-particle-hole systems with various collective cores and various particle-hole configurations are investigated within the Core-Particle-Hole Coupling (CPHC) model. A new symmetry, called the S-symmetry, is identified as a combination of the α-parity of the collective core and the proton-neutron symmetry of the valence proton and neutron in particle-hole configurations involving single-particle states with the same quantum numbers. It is found that the S-symmetric odd-odd nuclei show signatures which are usually considered as fingerprints of nuclear chirality, namely doublet band structure with a particular pattern of electromagnetic transitions. Reported results imply that the rigid rotor with a symmetric valence proton-neutron configuration is only a special case of the system with the novel S-symmetry. Therefore, it is an open question whether the chiral fingerprints discussed so far identify uniquely the orthogonal coupling of angular momentum in the intrinsic system.

Two-dimensional collective Hamiltonian for chiral and wobbling modes

“…In addition, it is noted that the numerator in the formulas of the mass parameters in Eqs. (14)(15)(16)(17) and (20) are proportional to ω 2 as shown in…”

“…Theoretically, many approaches have been developed to investigate nuclear chirality and wobbling motion, such as the particle rotor model (PRM) [1,6,[13][14][15][16][17][18][19][20][21][22][23][24][25][26], the tilted axis cranking model (TAC) [1,12,[27][28][29], the tilted axis cranking plus random phase approximation (TAC+RPA) [30][31][32][33][34][35][36][37][38][39][40], the interacting boson fermion-fermion model (IBFFM) [41], the pair truncated shell model (PTSM) [42], and the projected shell model (PSM) [43]. The PRM is a quantal model, where the spin is a good quantum number and the quantum tunnelings between the partner bands are obtained automatically.…”

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.…”

Chiral geometry in multiple chiral doublet bands

“…Theoretically, many approaches have been come up to investigate nuclear chirality, such as the particle rotor model (PRM) [1,25,30,[58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76], the tilted axis cranking model (TAC) [1,[77][78][79], the tilted axis cranking plus random phase approximation (TAC+RPA) [39,80], the interacting boson fermion-fermion model (IBFFM) [37,40,[81][82][83][84], pair truncated shell model (PTSM) [85][86][87], projected shell model (PSM) [88]. Recently, based on the TAC, a microscopical collective Hamiltonian was constructed and applied to the unified description of chiral vibration and rotation [89].…”