Title: Spin squeezed states and wobbling motion in collective Hamiltonian Show Chinese title

Title: 集体哈密顿量中的自旋压缩态与晃动运动

Abstract: A semiclassical approach is proposed to calculate the collective potential and mass parameters to formulate a collective Hamiltonian capable of describing the wobbling motion in both even-even and odd-mass systems. By diagonalizing the resulting collective Hamiltonian (CH), one can obtain the energies and wave functions associated with the wobbling states. Furthermore, a novel technique called spin squeezed state (SSS) maps is introduced based on the derived wave functions. To validate the results obtained from the collective Hamiltonian, a comparative analysis is conducted against predictions from the triaxial rotor model (TRM) and particle triaxial rotor (PTR) model. Notably, the SSS plots determined using the TRM and PTR models exhibit a strong correlation with the probability density distributions of the wave functions obtained from the CH. This correlation highlights the consistency and coherence between the different theoretical approaches when describing the wobbling phenomenon and associated rotational dynamics. Show Chinese abstract

Abstract: 提出了一种半经典方法来计算集体势能和质量参数，以构建能够描述偶-偶系统和奇质量系统中摇摆运动的集体哈密顿量。 通过对所得集体哈密顿量（CH）进行对角化，可以获得与摇摆态相关的能量和波函数。 此外，基于导出的波函数，引入了一种称为自旋压缩态（SSS）映射的新技术。 为了验证从集体哈密顿量得到的结果，进行了与三轴转子模型（TRM）和粒子三轴转子（PTR）模型预测的比较分析。 值得注意的是，使用TRM和PTR模型确定的SSS图与从CH获得的波函数的概率密度分布显示出强相关性。 这种相关性凸显了不同理论方法在描述摇摆现象及相关旋转动力学时的一致性和连贯性。