Particle-number conserving analysis of the high-spin structure of ${}^{159}$Ho

Abstract

The high-spin rotational bands in odd-$Z$ nuclei ${}^{159}$Ho ($Z=67$) are investigated using the cranked shell model with the 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 $\hslash \omega$ are reproduced very well by the calculations. The splitting between the signature partners of the yrast band $7/2^{-}[523]$ is discussed and the splitting of the excited band $7/2^{+}[404]$ above $\hslash \omega \sim 0.30$~MeV is predicted due to the level crossing with $1/2^{+}[411]$. The calculated $B(E2)$ transition probabilities are also suggested for future experiments.

20 pages, 7 figures, 1 table

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