Hyperon I: Partial-wave amplitudes for K-p scattering

. Early data on K - induced reactions off protons are collected and used in a coupled-channel partial-wave analysis (PWA). Data that had been published in the form of Legendre coefficients are included in the PWA. In a primary fit using 3 * and 4 * resonances only, we observe some significant discrepancies with the data. In a systematic search for new Λ and Σ hyperon resonances, additional candidates are found. The significance of the known and of the additional resonances is evaluated. Seventeen resonances listed with 1 * or 2 * and one resonance listed with 3 * in the Review of Particle Physics cannot be confirmed, five new hyperons are suggested. The partial-wave amplitudes deduced in this analysis are compared to those from other analyses.