Inclusive Cross Sections at Ultrahigh Energies

Abstract

We show that the representation of the inclusive cross sections, in terms of the "kinematically corrected" densities that we have previously obtained for the Fermi model, is also applicable to the uncorrelated jet model and to multiperipheral models in the fragmentation regions. In each case, the "corrected" density scales, and scaling is broken by the $\sigma \left(M^2\right)$ factor when $M^2$ becomes small. We discuss the properties of the "corrected" correlation functions and show that they are equal to the usual correlation functions in the central region and proportional to them in the second and fourth quadrants of the Van Hove hexagon. We obtain model-independent sum rules for the missing mass squared and an expression for its average value. We show that there must be a central peak in the longitudinal phase-space plots when the moments of multiplicity become large.