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

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.

8 pages, 5 figures, 2 tables, to be published at Chinese Physics C

References in corpus (3)

• Open Problems in Understanding the Nuclear Chirality
• Systematic investigation of the rotational bands in nuclei with $Z\approx 100$ using a particle-number conserving method based on a cranked shell model
• Particle-number conserving analysis of rotational bands in 247,249Cm and 249Cf

Cited by in corpus (5)

• Shell-model-like approach based on cranking covariant density functional theory: bandcrossing and shape evolution in ${}^{60}$Fe
• Rotational Properties of the Odd-$Z$ Transfermium Nucleus ${}^{255}$Lr by a Particle-number-conserving Method in the Cranked Shell Model
• Investigation of the two-quasiparticle bands in the doubly-odd nucleus ${}^{166}$Ta using a particle-number conserving cranked shell model
• Band crossings in ${}^{168}$Ta: a particle-number conserving analysis
• Systematic investigation of the high-spin structures in the odd-odd nuclei ${}^{166,168,170,172}$Re by a particle-number conserving method