From Chiral Vibration to Static Chirality inNd135

Abstract

Electromagnetic transition probabilities have been measured for the intraband and interband transitions in the two sequences in the nucleus (135)Nd that were previously identified as a composite chiral pair of rotational bands. The chiral character of the bands is affirmed and it is shown that their behavior is associated with a transition from a vibrational into a static chiral regime.

Transverse Wobbling inPr135

“…The odd-Z nuclei with A ∼ 130 meet the condition: Triaxial shapes have been predicted [1] and the appearance of chirality, a complementary experimental evidence for triaxiality, has been established (see, for example, Refs. [10,11]). …”

Collective Hamiltonian for wobbling modes

“…By taking into account the quantum fluctuation along the collective degree of freedom, the collective Hamiltonian goes beyond the mean-field approximation and restores the broken symmetry [30]. This has been implemented based on the framework of tilted axis cranking (TAC) single-j shell model to investigate the chiral vibration and rotation motions [31,32]. The chiral symmetry broken in the intrinsic reference frame is restored and chiral doublet bands are obtained in the laboratory reference frame.…”

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].…”