Abstract
We consider the partial waves of the two-body Lippmann–Schwinger equation for the T matrix in the case of the sum of the Coulomb plus a more rapidly vanishing potential. Using the knowledge of explicit forms of the integrals determining the operation of the Lippmann–Schwinger operator on the singularities that characterize the on-shell behavior of the Coulomb-like T matrix, we extract a manifestly nonsingular integral equation from the Lippmann–Schwinger equation. We show that the half- and on-shell inhomogeneous terms and solutions can be made as smooth as the momentum representation partial projection of the non-Coulomb part of the potential.
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