Chirality in atomic nuclei: 2013

Abstract

Progresses of the chirality in atomic nuclei are reviewed, in particular, the recently proposed collective Hamiltonian based on tilted axis cranking approach to describe chiral vibration and rotation modes, and the experimental achievements for chirality and multiple chiral doublets, i.e., in 106 Ag, 133 Ce and 103 Rh. The first experimental evidences of multiple chiral doublet bands with distinct and identical configuration found in 133 Ce and 103 Rh are discussed in detail.

Reexamining nuclear chiral geometry from the orientation of the angular momentum

“…For recent reviews, see Refs. [2][3][4][5][6][7][8]. With the prediction [9] and confirmation [10] of multiple chiral doublets (Mχ D) in a single nucleus, the investigation of chirality continues to be one of the hottest topics in nuclear physics [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”

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

“…The evidence of the chiral doublet bands was first observed in 2001 [2]. So far, around 40 candidates of chiral doublet bands have been reported in A ∼ 80 [3,4], 100 [5][6][7][8][9][10], 130 [2,[11][12][13][14][15][16] and 190 [17,18] mass regions experimentally, see [19][20][21] for reviews. Theoretically, the chiral doublet bands are studied by the particle rotor model (PRM) [1,[22][23][24][25], the titled axis cranking (TAC) model [1,[26][27][28][29], the TAC plus random phase approximation [30], the collective Hamiltonian [31,32], and the interacting boson-fermion-fermion model (IBFFM) [33][34][35].…”

Chiral symmetry in rotating systems

“…It is well known that the TPRM is one of the most suitable approach for investigating the chiral symmetry (see, e.g., a recent review by Mend and co-workers [21]). We have, therefore, chosen a simplified version of this model under the assumption that the inter-nucleon potential is strong enough to hold the nucleons (proton + neutron) tightly at some fixed orientation.…”

“…These left-and right-handed systems are related by the chiral operator χ operator as |ψ L =χ|ψ R and |ψ R =χ |ψ L , where |ψ R and |ψ L are given, respectively, by the expressions (27) and (33). Our system Hamiltonian is represented by an expression (21) and it is invariant with respect to the χ operator. Since [H, χ] = 0, therefore, linear combinations of |ψ L and |ψ R (i.e., |ψ + and |ψ − given by expressions (5) and (6)) are also the eigenstates of the Hamiltonian.…”