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First-order Coriolis-coupling for the rotational spectrum of a tetrahedrally deformed core plus one-particle system

机译:用于四面体变形芯加单颗粒系统的旋转光谱的一阶科里奥利耦合

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The possible existence of shape-coexisting nuclear configurations with tetrahedral symmetry is receiving increasing attention due to unprecedented nuclear structure properties, in particular, in terms of the exotic fourfold nucleonic level degeneracies and the expected long lifetimes, which may become a new decisive argument in the exotic nuclei research programs. The present article addresses the rotational structure properties of the tetrahedrally symmetric even-even core configurations coupled with a single valence nucleon. We focus on the properties of the associated Coriolis-coupling Hamiltonian proposing the solutions based on the explicit construction of the bases of the irreducible representations of the tetrahedral point-group on the one-hand side and the microscopic angular-momentum and parity projection nuclear mean-field approach on the other. It is shown that for one particle occupying an orbital belonging to the E-1/2 or E-5/2 irreducible representation, the rotational spectrum splits into two sequences, the structures analogous to those of the K = 1/2 rotational bands in the axially symmetric nuclei. Although the spectrum is generally more complicated for one-particle occupying a fourfold degenerate orbital belonging to the G(3/2) representation, an appearance of the correlated double-sequence structures persists. The spectra of the doubly-magic tetrahedral core plus one-particle systems can be well interpreted using the analytical solutions of the first order Coriolis-coupling Hamiltonian. We introduce the notion of the generalized decoupling parameters, which determine the size of the energy-splitting between the double-sequence structures.
机译:由于前所未有的核结构特性,具有四面体对称性的形状共存核配置的可能存在,特别是在异国情调的四倍核子水平退化和预期的长寿期,这可能成为可能成为一个新的决定性论据异国情调的核查研究计划。本文解决了与单一价核素偶联的四面体对称均匀核心构型的旋转结构性质。我们专注于相关科里奥利耦合Hamiltonian的特性,提出了基于四面体侧组的不可缩短的Teakoplibe-Group的碱基和微观角动量和奇偶诊断核平均值 - 另一个地区的方法。结果表明,对于一个颗粒,占据轨道属于E-1/2或E-5/2不可缩小的表示,旋转谱分为两个序列,该结构类似于K = 1/2旋转带中的结构轴称核。虽然对于一个颗粒占据尺寸的四倍退化轨道属于G(3/2)表示,但是频谱通常更复杂,但是相关的双序结构的外观持续存在。双重魔法四面体核心加单粒子系统的光谱可以利用第一阶科里奥利耦合哈密尔顿的分析解决方案进行很好的解释。我们介绍了广义解耦参数的概念,该参数确定了双序结构之间的能量分裂的尺寸。

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