Weak-Coupling Limit for Scattering by Strongly Singular Potentials

Abstract
The validity of certain cutoff procedures, which have lately been employed in the treatment of termwise divergent perturbative expansions in nonrenormalizeable field theories, is investigated in the context of nonrelativistic scattering from strongly singular repulsive potentials. For the cases considered the heuristic cutoff prescription indeed yields the correct expression for the weak-coupling limit of the phase shift.

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