论文标题
IBM中更高的离散对称性。 III四面体形状
Higher-rank discrete symmetries in the IBM. III Tetrahedral shapes
论文作者
论文摘要
在SF-IBM的上下文中，与S和F玻色子的相互作用的玻色子模型是针对旋转不变且偶然持续的Hamiltonian的条件，具有多达两体的相互作用，可在其经典极限中具有最小的四面体形状。可以在模型的两个限制u_f（7）和so_ {sf}（8）之间过渡的哈密顿量的经典限制获得了具有四面体对称形状的简并最小值。得出了这种最低限度的条件。通过修改F玻色子之间的两体相互作用，可以将系统朝具有四面体形状的孤立最小值驱动。对代数模型中具有更高级别的离散对称性的形状发生的观察后果进行了一般评论。
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.
