Possible chiral symmetry in \(^{138}\)Nd

• Published in: arXiv.org
• Main Authors: Raduta, A A, Raduta, Al H, Petrache, C M
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 05.03.2016
• Subjects: Bosons; Electromagnetic properties; Fermions; Nucleons; Quadrupole interaction; Quadrupoles
• ISSN: 2331-8422

The pheomenological Generalized Coherent State Model Hamiltonian is amended with a many body term describing a set of nucleons moving in a shell model mean-field and interacting among themselves with paring, as well as with a particle-core interaction involving a quadrupole-quadrupole and a hexadecapole-hexdecapole force and a spin-spin interaction. The model Hamiltonian is treated in a restricted space consisting of the core projected states associated to the bands ground, \(\beta, \gamma,\widetilde{\gamma}, 1^+\) and \(\widetilde{1^+}\) and two proton aligned quasiparticles coupled to the states of the ground band. The chirally transformed particle-core states are also included. The Hamiltonian contains two terms which are not invariant to the chiral transformations relating the right handed trihedral \(({\bf J_F}, {\bf J_p}, {\bf J_n})\) and the left handed ones \((-{\bf J_F}, {\bf J_p}, {\bf J_n})\), \(({\bf J_F}, -{\bf J_p}, {\bf J_n})\), \(({\bf J_F}, {\bf J_p}, -{\bf J_n})\) where \({\bf J_F}, {\bf J_p}, {\bf J_n}\) are the angular momenta carried by fermions, proton and neutron bosons, respectively. The energies defined with the particle-core states form four chiral bands, two of them being degenerate. Electromagnetic properties of the chiral bands are investigated. Results are compared with the experimental data on \(^{138}\)Nd.