Inclusive processes and duality

Abstract

The criteria of a fast approach to the asymptotic limit for the cross section of the inclusive reaction a + b → c + X are discussed. It is argued that in the fragmentation and central regions (x < 0.5) there are in general no reasons for fast scaling even if all the a b c¯, a c¯ and a b channels are exotic. In the region of x near 1 (x > 0.5) the criterion of Chan et al. (i.e. exotic quantum numbers in the if a b c¯ channel is sufficient to have fast scaling. Our conclusions are in agreement with experimental data. Analysing the triple-Regge limit we also derive relations between three-reggeon vertices. These relations are of two types and follow from the application of duality to the resonance component of the produced X-system a + b → c + XR and to the reggeon-particle scattering amplitude.