I=12,J=12State inπNScattering with the Nucleon as a Bound State

Abstract

An approximate formula for the $I=\frac{1}{2}$, $J=\frac{1}{2}$ phase shift is derived. Assuming that the nucleon is a bound state, this formula depends only on the pion and nucleon masses, and the $\pi N$ coupling constant ($f^2$). No purely phenomenological parameters are involved. The formula is roughly consistent with experiment in the 0- to 220-MeV range.