Particle-number conserving analysis for the 2-quasiparticle and high-$K$ multi-quasiparticle states in doubly-odd ${}^{174, 176}$Lu

TL;DR

This paper employs a particle-number conserving cranked shell model to analyze two-quasiparticle and high-$K$ multi-quasiparticle bands in doubly-odd ${}^{174, 176}$Lu, accurately reproducing experimental energies and moments of inertia.

Contribution

It introduces a particle-number conserving approach to analyze multi-quasiparticle states in doubly-odd nuclei, improving the accuracy of band energy and moment of inertia predictions.

Findings

Reproduces experimental bandhead energies accurately.

Successfully models moments of inertia of multi-quasiparticle bands.

Analyzes Coriolis mixing effects in low-K bands.

Abstract

Two-quasiparticle bands and low-lying excited high-$K$ four-, six-, and eight-quasiparticle bands in the doubly-odd ${}^{174, 176}$Lu are analyzed by using the cranked shell model (CSM) with the pairing correlations treated by a particle-number conserving (PNC) method, in which the blocking effects are taken into account exactly. The proton and neutron Nilsson level schemes for ${}^{174, 176}$Lu are taken from the adjacent odd-$A$ Lu and Hf isotopes, which are adopted to reproduce the experimental bandhead energies of the one-quasiproton and one-quasineutron bands of these odd-$A$ Lu and Hf nuclei, respectively. Once the quasiparticle configurations are determined, the experimental bandhead energies and the moments of inertia of these two- and multi-quasiparticle bands are well reproduced by PNC-CSM calculations. The Coriolis mixing of the low-$K$ ($K=|\Omega_1-\Omega_2|$) two-quasiparticle band of the Gallagher-Moszkowski doublet with one nucleon in the $\Omega = 1/2$ orbital is analyzed.