Information about Current-Divergence Algebra from Pion-Baryon Scattering

Abstract

It is shown that the connection between even scattering lengths and $\sigma$ terms of current algebra depends strongly upon dynamics. The $\sigma$ terms for $\pi \Lambda$ and $\pi \Sigma$ scattering are evaluated and shown to be consistent with a model algebra of current divergences in which the SU(3)-symmetry breaking parameter is not small.