Information about Current-Divergence Algebra from Pion-Baryon Scattering

Abstract

It is shown that the connection between even scattering lengths and $\ensuremath{\sigma}$ terms of current algebra depends strongly upon dynamics. The $\ensuremath{\sigma}$ terms for $\ensuremath{\pi}\ensuremath{\Lambda}$ and $\ensuremath{\pi}\ensuremath{\Sigma}$ 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.