The potential presence of wobbling motions in even-even nuclei 112Ru, 114Pd, 150Nd, and 188Os are explored by the five-dimensional collective Hamiltonian based on the relativistic density functional theory (5DCH-RDFT). The theoretical results successfully reproduce experimental energy spectra and electromagnetic transition probabilities. Analyses of the potential energy surfaces and probability density distributions in the (β,γ) deformation plane as well as the quadrupole asymmetry parameter 〈cos⁡3δ〉 reveal that 150Nd shows near-axial symmetry in contrast to the triaxial deformation in 112Ru, 114Pd, and 188Os. Additionally, spin coherent state (SCS) map is introduced for the first time to the 5DCH framework to visualize the geometry of angular momentum. It is revealed that the wobbling mode, characterized by oscillations of total angular momentum J about the medium axis, is present in 112Ru but absent in 150Nd.

中文翻译：

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探索三轴偶数核中的摆动运动


基于相对论密度泛函理论 （5DCH-RDFT） 的五维集体哈密顿量探讨了偶偶数核 112Ru、114Pd、150Nd 和 188Os 中可能存在的摆动运动。理论结果成功地再现了实验能谱和电磁跃迁概率。对 （β，γ） 形变平面中的势能面和概率密度分布以及四极不对称参数 〈cos3δ〉 的分析表明，与 112Ru、114Pd 和 188Os 中的三轴变形相比，150Nd 表现出近轴对称性。此外，自旋相干状态 （SCS） 映射首次引入 5DCH 框架，以可视化角动量的几何结构。结果表明，以总角动量 J 绕中轴振荡为特征的摆动模式存在于 112Ru 中，但在 150Nd 中不存在。