Scattering Formalism for Singular Potential Theory

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Abstract
When using power-series expansions in the coupling constant (s) for the computation of scattering amplitudes in singular potential theory, it is necessary to introduce some cutoff in order to avoid divergences of the individual terms in this series. In earlier work this was done by cutting off the potential. It is here shown that the general scattering formalism actually contains an intrinsic limiting operation which makes it unnecessary to introduce a cutoff as an extraneous computational device. For regular potentials one tacitly and justifiedly exchanges this operation with another step in the derivations. It is not clear whether such a "built-in" cutoff procedure also exists in unrenormalizable field theory.

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