论文标题
IBM中更高的离散对称性。 II八面体形：动力对称性
Higher-rank discrete symmetries in the IBM. II Octahedral shapes: Dynamical symmetries
论文作者
论文摘要
研究了可持续发展的IBM的对称性，即与S，D和G玻色子的相互作用的玻色子模型，有关八面体对称性的形状出现。结果表明，没有具有动态对称性的可持续发展可靠的哈密顿量在其经典极限中显示出具有八面体形状的孤立最小值。但是，可以从两个限制之间过渡的哈密顿（Hamiltonian）u_g（9）x u_d（5）和so_sg（10）x u_d（5）之间的过渡性的哈密顿（Hamiltonian）获得八面体对称形状的退化最小值，并得出了其存在的条件。具有八面体形状的孤立最小值，即八面体或立方体，可以通过修改G玻色子之间的两体相互作用而产生。对这项建筑的观察后果的评论。
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.
