Matrix models of strength distributions
Abstract
In this work, we use matrix models to study the problem of strength distributions. This is motivated by noticing near exponential falloffs of strengths in calculated magnetic dipole excitations. We emphasize that the quality of the exponential falloffs depends on the parameters in our matrices, especially the relative size of the couplings to the unperturbed level separations. We also find a dark matrix for which all transitions vanish.
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