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

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

1998-11-04

arxiv.org/abs/nucl-th/9811014v1

Annals Phys. 274 (1999) 45-75

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1006/aphy.1999.5911

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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