Mixing of quasiparticle excitations and gamma-vibrations in transitional nuclei
J.A. Sheikh, G.H. Bhat, Yan-Xin Liu, Fang-Qi Chen, Yang Sun

TL;DR
This paper investigates the coupling of quasiparticle excitations with gamma-vibrations in transitional nuclei, revealing how specific band structures originate from triaxial deformations and shell filling effects using advanced shell model techniques.
Contribution
It introduces a multi-quasiparticle triaxial projected shell model approach to explain the nature of low-lying K=3 bands in transitional nuclei and predicts their dependence on shell filling.
Findings
K=3 band originates from triaxially deformed two-quasiparticle configurations.
The structure of the K=3 band depends critically on shell filling.
Neutron and proton configurations can cross gamma-vibrational bands at high spins.
Abstract
Evidence of strong coupling of quasiparticle excitations with gamma-vibration is shown to occur in transitional nuclei. High-spin band structures in [166,168,170,172]Er are studied by employing the recently developed multi-quasiparticle triaxial projected shell model approach. It is demonstrated that a low-lying K=3 band observed in these nuclei, the nature of which has remained unresolved, originates from the angular-momentum projection of triaxially deformed two-quasiparticle (qp) configurations. Further, it is predicted that the structure of this band depends critically on the shell filling: in [166]Er the lowest K=3 2-qp band is formed from proton configuration, in [168]Er the K=3 neutron and proton 2-qp bands are almost degenerate, and for [170]Er and [172]Er the neutron K=3 2-qp band becomes favored and can cross the gamma-vibrational band at high rotational frequencies. We…
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