Two-Dimensional Collective Hamiltonian for Chiral and Wobbling Modes

Chen, Q. B.; Zhang, S. Q.; Zhao, P. W.; Jolos, R. V.; Meng, J.

doi:10.1103/PhysRevC.94.044301

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

Journal Article · Mon Oct 03 00:00:00 EDT 2016 · Physical Review C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.94.044301· OSTI ID:1339085

Chen, Q. B. ^[1]; Zhang, S. Q. ^[1]; Zhao, P. W. ^[2]; Jolos, R. V. ^[3]; Meng, J. ^[4]

Peking Univ., Beijing (China). School of Physics, State Key Lab. of Nuclear Physics
Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
Joint Inst. for Nuclear Research, Dubna (Russia); Dubna State Univ., Dubna (Russia)
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

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 h_11/2 proton particle and one h_11/2 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.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC); National Basic Research Program of China

Grant/Contract Number:: AC02-06CH11357; 2013CB834400; 11335002; 11375015; 11461141002; 11621131001; 2015M580007; 2016T90007

OSTI ID:: 1339085

Alternate ID(s):: OSTI ID: 1328591

Journal Information:: Physical Review C, Nuclear Physics, Vol. 94, Issue 4; ISSN 0556-2813

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 42 works

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