Abstract

The inverse scattering problem for the Chew-Low model is solved and the solution is used to construct three different forms for the off-shell $\ensuremath{\pi}N$ $T$ matrix. The three forms differ in their treatment of the nucleon pole and the crossing cut. One of the forms is shown to be equivalent to a separable potential model with an energy dependent strength. The analysis gives some insight into the question of the range of the $\ensuremath{\pi}N$ interaction.NUCLEAR REACTIONS Inverse problem for Chew-Low model; relation between field theory and potential descriptions of $\ensuremath{\pi}N$ interaction.

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