General Formalism for the Transition Matrix of Nuclear Reaction Theory and Its Application to the Study of Potential Scattering

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Abstract
One develops a general integrodifferential equation for the transition matrix of nuclear reaction theory in terms of the physical parameters of the nuclear reaction. One derives, as a corollary of the main result, a system of equations which describes the motion of the poles and residues of the collision matrix as a function of the parameters entering in the reaction formalism. Some applications to the study of the potential-scattering problem are also shown.