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The interacting boson model with SU(3) charge symmetry and its application to even--even N ≈ Z nuclei

J. E. Garcia--Ramos, P. Van Isacker

nucl-tharXiv:nucl-th/9811014

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.

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