The Interacting Boson Model with SU(3) Charge Symmetry and Its Application to Even–Even N≈Z Nuclei

Abstract The isospin-invariant interacting boson model IBM-3 is analyzed in situations where SU T (3) charge symmetry (or, equivalently, U L (6)  sd symmetry) is conserved. Analytic expressions for energies, electromagnetic transitions, two-nucleon transfer probabilities, and boson-number expectation values are obtained for the three possible dynamical symmetry limits, U (5), SU (3), and O (6). Results found in IBM-3 are related to corresponding ones in IBM-1 and IBM-2. Numerical calculations are presented for f 7/2 -shell nuclei and some features that distinguish IBM-3 from its predecessors IBM-1 and IBM-2 are pointed out.

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