TY - JOUR

T1 - Three-level mixing model for nuclear chiral rotation

T2 - Role of the planar component

AU - Chen, Q. B.

AU - Starosta, K.

AU - Koike, T.

N1 - Funding Information:
Q.B.C. thanks F. Q. Chen, J. Meng, and S. Q. Zhang for fruitful discussions. Financial support for this work was provided in part by the Major State 973 Program of China (Grant No. 2013CB834400), the National Natural Science Foundation of China (NSFC) under Grants No. 11335002, No. 11375015, No. 11461141002, and No. 11621131001, the China Postdoctoral Science Foundation under Grants No. 2015M580007 and No. 2016T90007, the Deutsche Forschungsgemeinschaft (DFG) and NSFC through funds provided to the Sino-German CRC 110 “Symmetries and the Emergence of Structure in QCD,” and the Natural Sciences and Engineering Research Council of Canada.

PY - 2018/4/24

Y1 - 2018/4/24

N2 - Three- and two-level mixing models are proposed to understand the doubling of states at the same spin and parity in triaxially deformed atomic nuclei with odd numbers of protons and neutrons. The particle-rotor model for such nuclei is solved using the newly proposed basis which couples angular momenta of two valence nucleons and the rotating triaxial mean field into left-handed |L), right-handed |R), and planar |P) configurations. The presence and impact of the planar component is investigated as a function of the total spin for mass A≈130 nuclei with the valence h11/2 proton particle, valence h11/2 neutron hole, and the maximum difference between principal axes allowed by the quadrupole deformation of the mean field. It is concluded that at each spin value the higher energy member of a doublet of states is built on the antisymmetric combination of |L) and |R) and is free of the |P) component, indicating that it is of pure chiral geometry. For the lower energy member of the doublet, the contribution of the |P) component to the eigenfunction first decreases and then increases as a function of the total spin. This trend as well as the energy splitting between the doublet states are both determined by the Hamiltonian matrix elements between the planar (|P)) and nonplanar (|L) and |R)) subspaces of the full Hilbert space.

AB - Three- and two-level mixing models are proposed to understand the doubling of states at the same spin and parity in triaxially deformed atomic nuclei with odd numbers of protons and neutrons. The particle-rotor model for such nuclei is solved using the newly proposed basis which couples angular momenta of two valence nucleons and the rotating triaxial mean field into left-handed |L), right-handed |R), and planar |P) configurations. The presence and impact of the planar component is investigated as a function of the total spin for mass A≈130 nuclei with the valence h11/2 proton particle, valence h11/2 neutron hole, and the maximum difference between principal axes allowed by the quadrupole deformation of the mean field. It is concluded that at each spin value the higher energy member of a doublet of states is built on the antisymmetric combination of |L) and |R) and is free of the |P) component, indicating that it is of pure chiral geometry. For the lower energy member of the doublet, the contribution of the |P) component to the eigenfunction first decreases and then increases as a function of the total spin. This trend as well as the energy splitting between the doublet states are both determined by the Hamiltonian matrix elements between the planar (|P)) and nonplanar (|L) and |R)) subspaces of the full Hilbert space.

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U2 - 10.1103/PhysRevC.97.041303

DO - 10.1103/PhysRevC.97.041303

M3 - Article

AN - SCOPUS:85046697338

VL - 97

JO - Physical Review C

JF - Physical Review C

SN - 2469-9985

IS - 4

M1 - 041303

ER -