IBM中的高阶离散对称。III四面体形状
Higher-rank discrete symmetries in the IBM. III Tetrahedral shapes
摘要：
在sf-IBM的上下文中，相互作用的玻色子模型与s和f玻色子，条件推导出旋转不变和宇称守恒的哈密顿量与两体相互作用，有一个最小的四面体形状在其经典极限。在模型的两个极限U_f（7）和SO_{sf}（8）之间过渡的哈密顿量的经典极限中可以得到包括四面体对称形状的退化最小值。导出了存在这种最小值的条件。通过改变f玻色子之间的两体相互作用，系统可以被驱动到具有四面体形状的孤立最小值。一般评论的观察后果的发生与高阶离散对称性的背景下，代数模型的形状。
英文摘要：
In the context of the sf-IBM, the interacting boson model with s and f bosons, the conditions are derived for a rotationally invariant and parity-conserving Hamiltonian with up to two-body interactions to have a minimum with tetrahedral shape in its classical limit. A degenerate minimum that includes a shape with tetrahedral symmetry can be obtained in the classical limit of a Hamiltonian that is transitional between the two limits of the model, U_f(7) and SO_{sf}(8). The conditions for the existence of such a minimum are derived. The system can be driven towards an isolated minimum with tetrahedral shape through a modification of two-body interactions between the f bosons. General comments are made on the observational consequences of the occurrence of shapes with a higher-rank discrete symmetry in the context of algebraic models.
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