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Higher-rank discrete symmetries in the IBM. II Octahedral shapes: Dynamical symmetries

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.

preprint2020arXivOpen access
A. BouldjedriS. ZerguineP. Van Isacker
nucl-th
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A. BouldjedriS. ZerguineP. Van Isacker

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