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 SUT (3) charge symmetry [or, equivalently, UL(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 f7/2-shell nuclei and some features that distinguish IBM-3 from its predecessors IBM-1 and IBM-2 are pointed out.