Abstract
We present the analysis of the two-particle distribution function for the process a + b → x 1 + x 2 + anything at high energy using the dual-resonance model. The distribution functions for all the kinematic regions are explicitly shown to have the expected variable dependence. In the uncorrelated pionization and the double fragmentation (this includes the ditriple Regge limit) regions, the distribution functions are factorized into the product of the corresponding single-particle distributions. We point out that to obtain the factorization requires nontrivial treatment of the singularities and the kinematic relations. The correlation effects in the pionization region are studied in detail. The transition from the correlated pionization to the uncorrelated pionization regions reveals that the correlation length in the relative rapidity y is of the order 1. For fixed y, the two-particle distribution exhibits the gross exponential cutoff behavior ƒ 12∼ exp[−4(p 1 ⊥2+p 2 ⊥2+2p 1 ⊥p 2 ⊥ cosη)] where β depends on y and the relative azimuthal angle between the two transverse momenta.
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