Simple Dual-Resonance Model for Inclusive Reactions

Abstract

We write down a dual expression for the differential cross section in two-body reactions for inclusive production of a single particle with definite momentum. The formula is similar to the usual five-point amplitude but where the range of integration has changed. We show that it describes both limiting fragmentation and pionization. It furthermore shows approximate factorization as a function of ${p_{\perp }}^2$ and ${p_{\parallel }}^2$. The asymptotic behavior in ${p_{\perp }}^2$ is universal. We also generalize the formula for inclusive reactions where $n$ particles are detected.