Reactionπ−p→ηnwith Veneziano Terms

Abstract

The Veneziano amplitude for ${\ensuremath{\pi}}^{\ensuremath{-}}p\ensuremath{\rightarrow}\ensuremath{\eta}n$ scattering is constructed using suitable combinations of beta-function terms. If certain constraints for the pole structure are imposed, the amplitude shows agreement and consistency with the experimental data over the whole energy region. The shape of the high-energy ${\ensuremath{\pi}}^{\ensuremath{-}}p\ensuremath{\rightarrow}\ensuremath{\eta}n$ differential cross section is reproduced. The decay widths for the ${\frac{5}{2}}^{+}$ and ${\frac{5}{2}}^{\ensuremath{-}}$ pion-nucleon resonances are obtained, and Adler's self-consistency condition is also approximately satisfied.