One-Nucleon Exchange in Pion-Nucleon Scattering

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Abstract
We have studied the partial-wave amplitudes for pion-nucleon scattering in the approximation where the "driving force" comes from single-nucleon exchange. We start from the assumption that the amplitudes satisfy dispersion relations, but find that this is not enough to define a unique problem. Some restrictions upon the choice of amplitude to be inserted in the dispersion relations are found, but some ambiguities remain. Settling these in a "reasonable" way leads to the conclusion that the one-nucleon-exchange force is "too strong."