The basis space in the triaxial projected shell model (TPSM) approach is generalized for odd–odd nuclei to include two-neutron and two-proton configurations on the basic one-neutron coupled to one-proton quasiparticle state. The generalization allows to investigate odd–odd nuclei beyond the band crossing region and as a first application of this development, high-spin band structures recently observed in odd–odd \(^{194-200}\)Tl isotopes are investigated. In some of these isotopes, the doublet band structures observed after the band crossing have been conjuctured to arise from the spontaneous breaking of the chiral symmetry. The driving configuration of the chiral symmetry in these odd–odd isotopes is one-proton and three-neutrons rather than the basic one-proton and one-neutron as already observed in many other nuclei. It is demonstrated using the TPSM approach that energy differences of the doublet bands in \(^{194}\)Tl and \(^{198}\)Tl are, indeed, small. However, the differences in the calculated transition probabilities are somewhat larger than what is expected in the chiral symmetry limit. Experimental data on the transition probabilities is needed to shed light on the chiral nature of the doublet bands.

中文翻译：

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奇数$$ ^ {194-200} $$ 194-200 Tl同位素中的高自旋双峰带结构

三轴投影壳模型（TPSM）方法中的基础空间被推广用于奇数核，在耦合到一个质子准粒子状态的基本一个中子上包括两个中子和两个质子构型。泛化可以研究超出带穿越区域的奇奇核，并且作为该发展的第一个应用，最近在奇奇\（^ {194-200} \）中观察到高自旋能带结构研究了T1同位素。在这些同位素中的某些中，带交叉后观察到的双峰带结构被认为是由手性对称性的自发破坏引起的。在这些奇数个同位素中，手性对称的驱动构型是一个质子和三个中子，而不是在许多其他原子核中已经观察到的基本的一个质子和一个中子。使用TPSM方法证明了\（^ {194} \） Tl和\（^ {198} \）中双峰带的能量差Tl确实很小。但是，计算的跃迁几率的差异比手性对称极限中的预期值要大一些。需要关于跃迁概率的实验数据来阐明双峰带的手性。