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A number of reaction theories are tested and compared by their application to a simple model of s-wave scattering from a two-state nucleus. These theories include the extended R-matrix theory of Garside and Tobocman, the L-operator formalism of Lane and Robson, and variations of the Brown-de Dominicis theory. We find that the H\"ufner-Lemmer version of the Brown-de Dominicis theory gives the best results in the few-level approximation.
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Schmittroth et al. (1971) studied this question.
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