Low-EnergyK−-Meson Interactions in Hydrogen

Low-energy $K^{-}$-meson interactions in hydrogen are studied in the following channels: $K^{-}+p\to K^{-}+p,$ $K^{-}+p\to {\Sigma }^{-}+{\pi }^{+},$ $K^{-}+p\to {\Sigma }^{+}+{\pi }^{-},$ and cross sections, as a function of momentum, are presented in the region of 60-300 MeV/c $K^{-}$ laboratory momentum. These cross sections, combined with existing data, are used to fit the zero-effective-range theory of Dalitz and Tuan. Two possible solutions are obtained; the preferred one agrees with previous higher energy data. The favored solution also suggests an $S$-wave bound state at 1410 MeV, which could be associated with the ${Y_0}^{*}$ at 1405 MeV whose spin is still undetermined. Various properties of the two solutions are presented for $K^{-}p$ interactions and ${K_2}^{0}p$ interactions.