Abstract
A method is proposed for calculating fully off-shell $t$ matrix elements which are solutions of Lippmann-Schwinger-type equations. This is a generalization of the Kowalski version of the Sasakawa theory of scattering. The method relies on the Fredholm reduction of an integral equation whose kernel has a singularity at a fixed point. The method yields a $t$ matrix which satisfies the conditions of on-shell unitarity and can be readily generalized to the case of multichannel scattering problems.NUCLEAR REACTIONS: Singular scattering equations, off-shell $t$-matrix elements, multichannel scattering theory.
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