Abstract
I present evidence that suggests that the correct relationship between the optical transmission matrix, P, and the several correlation widths, Γ n , found in multistep compound (preequilibrium) nuclear reactions is Σ n2πΓ n/D n = tr P . A s econd sum rule is also derived within the shell model approach to nuclear reactions. Indications of the potential usefulness of the sum rules in preequilibrium studies are given.
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