Simple Interpretation of Interacting-Boson-Approximation Wave Functions and Transition Rates in Deformed Nuclei

Abstract

It is shown that an expansion of interacting-boson-approximation wave functions for deformed nuclei in an SU(3) basis leads to a simple interpretation of intrinsic excitations and $E2\mathrm{}$ transitions and that it is possible to express these results in terms of a single, empirical parameter. Effective $\Delta K=0\mathrm{} \mathrm{and} 2$ matrix elements can also be extracted. The former is shown to be the dominant mode of SU(3)-symmetry breaking, leading to a natural explanation for the empirical behavior of $\beta$ and $\gamma$ vibrations.