A Possible Criterion for the Static Chirality: Very Small Band Interaction Strength

Abstract

The interaction strength between chiral doublet bands is studied using the two-band mixing picture and the particle rotor model (PRM). The present calculations indicate that the interaction strength between chiral doublet bands is equal to zero for the ideal case of the πh 11/2 ⊗ νh −1 11/2 configuration with γ = 30 • , and the interaction strength becomes larger as γ deviates from 30 • . For γ = 15 • or 45 • , the average interaction strength is approximately 180 keV in the chiral region.

New candidate chiral nucleus in the A≈80 mass region: Br473582

“…To examine the existence of nuclear chirality in 82 Br, calculations based on a combination of the tilted axis cranking (TAC) approach [70,71] and the triaxial particle rotor model (TPRM) [72][73][74][75][76] have been performed. The TAC approach is employed to calculate the potential energy surface (PES) of 82 Br.…”

Recent progress in multiple chiral doublet bands

“…Besides the experimental explorations and theoretical predictions of MχD, it is also interesting to study the fingerprints of MχD. For a single chiral doublet bands, the known fingerprints for the ideal chirality are as follows: (i) the nearly degeneracy of doublet bands, (ii) the spin independence of S(I), (iii) the similar spin alignments, (iv) the similar B(M 1) and B(E2) values, (v) the staggering of B(M 1), (vi) the vanishing of the interband E2 transitions at high spins, and (vii) the small interaction strength [1,[76][77][78][79]. It is obvious that, for the MχD with the distinct configurations, the chiral fingerprints are still effective for every pair of chiral doublet bands.…”

“…The existence of E2 linking transitions allow us to extract the interaction strength between chiral doublet bands A and B. For the doublet bands with the same configuration and deformation, the interaction strength V can be expressed as [79]…”

“…The values of B(E2) and ∆E come from the calculated results of PRM [63]. The calculations show that the average interaction strength V between chiral doublet bands A and B is approximately equal to 200 keV in the chiral range, which implies that the chiral geometry is mixed by the vibrational component [79,90]. It should be noted that the Eq.…”

Electromagnetic transitions in multiple chiral doublet bands

“…So far, more than 30 candidate chiral nuclei have been reported experimentally in the 80, 100, 130 and 190 mass regions . Theoretically, nuclear chirality has been investigated in the frameworks of the titled axis cranking approach [1,[25][26][27], particle rotor model (PRM) [1,[28][29][30][31][32][33][34][35][36][37][38], interacting boson approximation (IBA) [16,39] and project shell model [40].…”