Single Particle Distributions from Veneziano Amplitudes I

The single particle distribution for the inclusive reaction A + B → C + anything is calculated from the discontinuity of the Veneziano six point function in the tree approximation and investigated in different kinematical regions. Power series expansions around x = 1 and Barnes‐Mellin integral representations suitable for expansions around x = 0 are presented. For large transverse momenta the single particle distribution shows an exponential decrease in p⟂2 with an x dependent slope assuming the value 4 α′ for x = 0. For small transverse momenta the behaviour of the distribution function in the pionization region is determined by a logarithmic singularity at the unphysical point p⟂2 = −mc2. In addition single particle distributions following from two special types of Pomeron‐background modified B6 functions are studied. Most of the results are similar to those obtained with the unmodified B6 function. This applies in particular to the pionization region, where the asymptotic p⟂2‐slope 4α′ is replaced by a “background slope” 4β′.