IBM中的高阶离散对称。II八面体形状：动力学对称性
Higher-rank discrete symmetries in the IBM. II Octahedral shapes: Dynamical symmetries
摘要：
研究了具有八面体对称性的sdg-IBM相互作用玻色子模型的对称性。结果表明，没有sdg-IBM哈密顿动力学对称显示在其经典极限的孤立的最小八面体形状。然而，从一个在两个极限U_g（9）× U_d（5）和SO_sg（10）× U_d（5）之间过渡的哈密顿量，可以得到一个包含八面体对称形状的简并极小值，并导出了它存在的条件。一个孤立的最小值与八面体形状，无论是八面体或立方体，可能会出现通过修改的两体之间的相互作用g玻色子。评论的观测结果，这种建设。
英文摘要：
The symmetries of the sdg-IBM, the interacting boson model with s, d and g bosons, are studied as regards the occurrence of shapes with octahedral symmetry. It is shown that no sdg-IBM Hamiltonian with a dynamical symmetry displays in its classical limit an isolated minimum with octahedral shape. However, a degenerate minimum that includes a shape with octahedral symmetry can be obtained from a Hamiltonian that is transitional between two limits, U_g(9) x U_d(5) and SO_sg(10) x U_d(5), and the conditions for its existence are derived. An isolated minimum with octahedral shape, either an octahedron or a cube, may arise through a modification of two-body interactions between the g bosons. Comments on the observational consequences of this construction are made.
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