论文标题

同时描述均匀三轴核中摇摆和手性特性的描述

Simultaneous description of wobbling and chiral properties in even-odd triaxial nuclei

论文作者

Raduta, C. M., Raduta, A. A., Poenaru, R., Raduta, Al. H.

论文摘要

粒子三轴刚性核心哈密顿式核心是半经典处理的。耦合项对应于一个固定耦合到三轴芯的粒子,沿着不属于惯性椭圆形的任何主要平面的方向。角动量组件的运动方程式为一个分量提供了第六阶代数方程,并为其他两个方程提供了方程。将运动方程式线性,获得摇摆频率的分散方程。在广义相空间坐标的缩小空间中,运动方程也被考虑。连续选择三个轴作为量化轴将分别导致摇摆频率的分析解。对手性转化的哈密顿官进行了相同的分析。用一个说明性的示例,一个人识别出其频率彼此镜像的摇摆状态。改变了总角动量I,出现了一对双带。请注意,当前的形式主义是三轴核的两个特征之间的调解,即它们可以共存单个核。

A particle-triaxial rigid core Hamiltonian is semi-classically treated. The coupling term corresponds to a particle rigidly coupled to the triaxial core, along a direction that does not belong to any principal plane of the inertia ellipsoid.The equations of motion for the angular momentum components provide a sixth-order algebraic equation for one component and subsequently equations for the other two. Linearizing the equations of motion, a dispersion equation for the wobbling frequency is obtained. The equations of motion are also considered in the reduced space of generalized phase space coordinates. Choosing successively the three axes as quantization axis will lead to analytical solutions for the wobbling frequency, respectively. The same analysis is performed for the chirally transformed Hamiltonian. With an illustrative example one identified wobbling states whose frequencies are mirror image to one another. Changing the total angular momentum I, a pair of twin bands emerged. Note that the present formalism conciliates between the two signatures of triaxial nuclei, i.e., they could coexist for a single nucleus.

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