Investigation of the two-quasiparticle bands in the doubly-odd nucleus $^{166}$Ta using a particle-number conserving cranked shell model

TL;DR

This study uses a particle-number conserving cranked shell model to analyze high-spin properties of two-quasiparticle bands in doubly-odd ${}^{166}$Ta, accurately reproducing experimental data and providing insights into band configurations and backbending phenomena.

Contribution

It introduces a particle-number conserving approach to analyze high-spin rotational bands in ${}^{166}$Ta, improving the understanding of pairing effects and band structures.

Findings

Reproduces experimental moments of inertia and alignments accurately.

Analyzes backbendings using occupation probabilities and orbital contributions.

Predicts properties of Gallagher-Moszkowski partner bands.

Abstract

The high-spin rotational properties of two-quasiparticle bands in the doubly-odd ${}^{166}$Ta are analyzed using the cranked shell model with pairing correlations treated by a particle-number conserving method, in which the blocking effects are taken into account exactly. The experimental moments of inertia and alignments and their variations with the rotational frequency $\hbar\omega$ are reproduced very well by the particle-number conserving calculations, which provides a reliable support to the configuration assignments in previous works for these bands. The backbendings in these two-quasiparticle bands are analyzed by the calculated occupation probabilities and the contributions of each orbital to the total angular momentum alignments. The moments of inertia and alignments for the Gallagher-Moszkowski partners of these observed two-quasiparticle rotational bands are also predicted.