General solution of superconvergent sum rules for scattering of I=1 reggeons on baryons

Superconvergent sum rules for reggeon-particle scattering are applied to scattering of reggeons αi (i=π, ρ, A2) with isospin I=1 on baryons with strangeness S=-1. The saturation scheme of these sum rules is determined on the basis of experimental data. Two series of baryon resonances with arbitrary isospins I and spins J=I+1/2 and J=I-1/2 are predicted. A general solution for vertices of interaction of these resonances with αi is found. Predictions for coupling vertices BαiB'(B, B'=Λ, Σ, Σ*) agree well with the experiment. It is shown that the condition of sum rules saturation by minimal number of resonances brings to saturation schemes resulting from experimental data. A general solution of sum rules for scattering of αi reggeons on Ξ and Ω hyperons is analyzed