Two-Dimensional Collective Hamiltonian for Chiral and Wobbling Modes
Abstract
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.
- Authors:
-
- 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
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC); National Basic Research Program of China
- OSTI Identifier:
- 1339085
- Alternate Identifier(s):
- OSTI ID: 1328591
- Grant/Contract Number:
- AC02-06CH11357; 2013CB834400; 11335002; 11375015; 11461141002; 11621131001; 2015M580007; 2016T90007
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C, Nuclear Physics
- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 4; Journal ID: ISSN 0556-2813
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Chen, Q. B., Zhang, S. Q., Zhao, P. W., Jolos, R. V., and Meng, J. Two-Dimensional Collective Hamiltonian for Chiral and Wobbling Modes. United States: N. p., 2016.
Web. doi:10.1103/PhysRevC.94.044301.
Chen, Q. B., Zhang, S. Q., Zhao, P. W., Jolos, R. V., & Meng, J. Two-Dimensional Collective Hamiltonian for Chiral and Wobbling Modes. United States. https://doi.org/10.1103/PhysRevC.94.044301
Chen, Q. B., Zhang, S. Q., Zhao, P. W., Jolos, R. V., and Meng, J. Mon .
"Two-Dimensional Collective Hamiltonian for Chiral and Wobbling Modes". United States. https://doi.org/10.1103/PhysRevC.94.044301. https://www.osti.gov/servlets/purl/1339085.
@article{osti_1339085,
title = {Two-Dimensional Collective Hamiltonian for Chiral and Wobbling Modes},
author = {Chen, Q. B. and Zhang, S. Q. and Zhao, P. W. and Jolos, R. V. and Meng, J.},
abstractNote = {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.},
doi = {10.1103/PhysRevC.94.044301},
journal = {Physical Review C, Nuclear Physics},
number = 4,
volume = 94,
place = {United States},
year = {Mon Oct 03 00:00:00 EDT 2016},
month = {Mon Oct 03 00:00:00 EDT 2016}
}
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