Three-Body Dispersion-Relation N/D Equations for the Coupled Decay Channels (p-bar)p(J~(PC) = 0~(-+)) → π~0π~0π~0, ηπ~0π~0, ηηπ~0, (K-bar)Kπ~0

摘要

For several years the data on different (p-bar)p(J~(PC) = 0~(-+)) → 3 mesons channels presented by the Crystal Barrel collaboration were successfully analyzed by extracting the leading amplitude singularities-pole singularities-with the aim of obtaining information about two-meson resonances. But these analyses do not take three-body final-state interactions into account in an explicitly correct way. This paper is devoted to the consideration of this problem. It is shown how the coupled three-body equations could be written for the π~0π~0π~0, ηπ~0π~0, ηηπ~0, and (K-bar)Kπ~0 channels in the (p-bar)p annihilation at rest using the three-body dispersion-relation N/D method.