TY - JOUR

T1 - Three-level mixing model for nuclear chiral rotation

T2 - Role of planar component

AU - Chen, Q. B.

AU - Starosta, K.

AU - Koike, T.

N1 - Publisher Copyright:
Copyright © 2018, The Authors. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2018/4/13

Y1 - 2018/4/13

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 |Li, right-handed |Ri, and planar |Pi configurations. The presence and the 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 principle 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 anti-symmetric combination of |Li and |Ri and is free of the |Pi component, indicating that it is of pure chiral geometry. For the lower-energy member of the doublet, the contribution of the |Pi 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 (|Pi) and non-planar (|Li and |Ri) 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 |Li, right-handed |Ri, and planar |Pi configurations. The presence and the 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 principle 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 anti-symmetric combination of |Li and |Ri and is free of the |Pi component, indicating that it is of pure chiral geometry. For the lower-energy member of the doublet, the contribution of the |Pi 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 (|Pi) and non-planar (|Li and |Ri) subspaces of the full Hilbert space.

UR - http://www.scopus.com/inward/record.url?scp=85093372272&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85093372272&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85093372272

JO - [No source information available]

JF - [No source information available]

ER -