S-wave phase shift in Lambda-pi scattering

Abstract

We calculate the s-wave strong interaction $Λ$$π$ phase shift at the $Ξ$ mass taking into account contributions from the ${{\frac{1}{2}}}^{-}$ and ${{\frac{3}{2}}}^{-}$ $Σ$ resonances. We find the S-wave phase shift to be small, of the order of 0.3 degrees and bounded by 0.5 degrees.