K−Absorption andπ−ΣPhase Shifts

Abstract

The relations between $\overline{K}+N\to \pi +Y$ absorption amplitudes and pion-hyperon scattering amplitudes that are implied by the unitarity of the scattering matrix are considered. It has been shown by Kawarabayashi that if $\Lambda$ production and the $K^0-K^{-}$ mass difference are neglected, the zero kinetic energy $K^{-}-p$ absorption data of the Berkeley hydrogen bubble chamber group imply that at least one of the angular momentum ½ pion-hyperon scattering amplitudes is much larger than are any of the $j=\frac{1}{2}$ pion-nucleon amplitudes at a corresponding energy. It is demonstrated that the conclusion of Kawarabayashi remains valid if one includes the effects of $\Lambda$ production and the $K^0-K^{-}$ mass difference.