Description of Chiral Doublets in $Asim130$ Nuclei and the Possible Chiral Doublets in $Asi.pdf

a r X i v : n u c l - t h / 0 3 0 8 0 8 0 v 1 2 8 A u g 2 0 0 3 Description of Chiral Doublets in A ～ 130 Nuclei and the Possible Chiral Doublets in A ～ 100 Nuclei J. Peng,1 J. Meng,1, 2, 3, ? and S. Q. Zhang1 1School of Physics, Peking University, Beijing 100871 2Institute of Theoretical Physics, Chinese Academy of Science, Beijing 100080 3Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000 (Dated: February 8, 2008) Abstract The chiral doublets for nuclei in A ～ 100 and A ～ 130 regions have been studied with the particle-rotor model. The experimental spectra of chiral partners bands for four N = 75 isotones in A ～ 130 region have been well reproduced by the calculation with the configuration πh11/2?νh?111/2. The possible chiral doublets in A ～ 100 region have been predicted by the PRM model with the configuration πg9/2 ? νg?19/2 based on the analysis of the spectra, the ω-I relation, the B(M1) and B(E2) transition probabilities, and the structure of the wave functions. The possible chiral doublets for nuclei with asymmetric particle and hole configuration are also discussed. PACS numbers: 21.10.-k, 21.10.Re, 21.60.Cs, 21.60.Ev ?e-mail: mengj@pku.edu.cn 1 I. INTRODUCTION Static chiral symmetries exist commonly in nature. We can find many examples including the macroscopic spirals of snail shells and the microscopic handedness of certain molecules. In particle physics, it is a dynamic property distinguishing between the parallel and an- tiparallel orientations of the intrinsic spin with respect to the momentum of the particle. In nuclear physics, triaxially deformed doubly odd nuclei can rotate in a left-handed and right- handed geometrical configuration, which is the manifestation of chiral symmetry breaking predicted recently [1]. The angular momenta of the core and of the odd particles can form either a left-handed or a right-handed combination. These two possibilities are transformed into each other by the chir