Two-Dimensional Collective Hamiltonian for Chiral and Wobbling Modes
- 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 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.
- 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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Application of the Bohr Hamiltonian with a double-well sextic potential to collective states in Mo isotopes
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Towards a new semi-classical interpretation of the wobbling motion in 163 Lu
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Chiral geometry in symmetry-restored states: Chiral doublet bands in
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journal | November 2017 |
Coexistence of chiral symmetry and pseudospin symmetry in one nucleus: triplet bands in $^{105}$Ag | text | January 2018 |
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