AI 中文总结
本文提出三态混合模型，通过SO(3)旋转关联三个内禀组态与物理态，应用于锡-116的低激发结构，识别出球形、弱扁椭球和强形变三轴形状，并揭示显著组态混合，为多重形状共存提供普遍框架。
AI 中文摘要
形状共存是原子核中竞争性的集体自由度和单粒子自由度最显著的表现之一。虽然两种组态的共存和混合可以在成熟的两态混合框架内描述，但观测到三种或更多竞争结构则需要更一般的处理。在本工作中，我们引入了一个三态混合（3SM）模型，其中三个内禀组态通过一个$SO(3)$旋转与物理态相关联。该框架建立了实验观测量、组态混合振幅和内禀性质之间的直接联系，而实验已知的激发能使得相应的有效哈密顿量和相互作用强度得以重建。该模型被应用于$^{116}$Sn的低激发结构，使用了最近通过全面的库仑激发测量确定的电磁矩阵元。分析识别出三个内禀组态，其特征分别为球形、弱扁椭球和强形变三轴形状，同时物理$0^+$态之间存在显著的组态混合。本公式为研究多组态共存并强相互作用的系统提供了一个普遍的现象学框架。
英文摘要
Shape coexistence represents one of the most striking manifestations of competing collective and single-particle degrees of freedom in atomic nuclei. While the coexistence and mixing of two configurations can be described within the well-established Two-State Mixing framework, the observation of three or more competing structures requires a more general treatment. In this work, we introduce a Three-State Mixing (3SM) model in which three intrinsic configurations are related to the physical states through an $SO(3)$ rotation. The framework establishes a direct connection between experimental observables, configuration-mixing amplitudes, and intrinsic properties, while the experimentally known excitation energies allow the corresponding effective Hamiltonian and interaction strengths to be reconstructed. The model is applied to the low-lying structure of $^{116}$Sn using electromagnetic matrix elements recently determined through a comprehensive Coulomb-excitation measurement. The analysis identifies three intrinsic configurations characterized by spherical, weakly oblate, and strongly deformed triaxial shapes, together with substantial configuration mixing among the physical $0^+$ states. The present formulation provides a general phenomenological framework for investigating systems in which multiple configurations coexist and strongly interact.
CommentsProceeding for the "18th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics". 6 pages, 1 figure
