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Title: Two-Dimensional Collective Hamiltonian for Chiral and Wobbling Modes

Here, a two-dimensional collective Hamiltonian (2DCH) on both azimuth and polar motions in triaxial nuclei is proposed to investigate the chiral and wobbling modes. In the 2DCH, the collective potential and the mass parameters are determined from three-dimensional tilted axis cranking (TAC) calculations. The broken chiral and signature symmetries in the TAC solutions are restored by the 2DCH. The validity of the 2DCH is illustrated with a triaxial rotor (γ= -30°) coupling to one h11/2 proton particle and one h11/2 neutron hole. By diagonalizing the 2DCH, the angular momenta and energy spectra are obtained. These results agree with the exact solutions of the particle rotor model (PRM) at high rotational frequencies. However, at low frequencies, the energies given by the 2DCH are larger than those by the PRM due to the underestimation of the mass parameters. In addition, with increasing angular momentum, the transitions from the chiral vibration to chiral rotation and further to longitudinal wobbling motion have been presented in the 2DCH.
 [1] ;  [1] ;  [2] ;  [3] ;  [4]
  1. Peking Univ., Beijing (China). School of Physics, State Key Lab. of Nuclear Physics
  2. Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
  3. Joint Inst. for Nuclear Research, Dubna (Russia); Dubna State Univ., Dubna (Russia)
  4. Peking Univ., Beijing (China). School of Physics, State Key Lab. of Nuclear Physics; Beihang Univ., Beijing (China). School of Physics and Nuclear Energy Engineering; Univ. of Stellenbosch, Stellenbosch (South Africa). Dept. of Physics
Publication Date:
Grant/Contract Number:
AC02-06CH11357; 2013CB834400; 11335002; 11375015; 11461141002; 11621131001; 2015M580007; 2016T90007
Accepted Manuscript
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 94; Journal Issue: 4; Journal ID: ISSN 0556-2813
American Physical Society (APS)
Research Org:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Natural Science Foundation of China (NNSFC); National Basic Research Program of China
Country of Publication:
United States
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1328591