Higher-rank discrete symmetries in the IBM. III Tetrahedral shapes
Piet Van Isacker,
Abdelhamid Bouldjedri,
Salima Zerguine
Abstract: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 … Show more
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