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

Abstract

The isospin-invariant interacting boson model IBM-3 is analyzed in situations where $S{U}_T(3)$ 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.

28 pages, 10 tables, LaTeX (ReVTeX). 6 ps figures. Submitted to Annals of Physics

References in corpus (3)

• Average Entropy of a Subsystem
• Pairing and Isospin Symmetry in Proton-Rich Nuclei
• Sum Rules for B(M1,0+ -> 1+) Strength in IBM-3 and IBM-4

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• Identification of Nuclei Exhibiting the SU(3) Dynamical Symmetry
• O(12) limit and complete classification of symmetry schemes in proton-neutron interacting boson model