Entropy from inclusive scattering

Abstract

Introduction of probabilities from multiple inclusive cross-sections is studied in the unitary pomeron exchange models with no interaction between the pomerons themselves. Discrepancy is observed between the emerging inelasic cross-section and the one following from unitarity. It diminishes with energy and disappears in the high-energy limit. Probabilities and entropy are calculated numerically. Contrary to naive predictions as a function of energy the entropy first rises and after achievung its maximum at rapidity 12-17 slowly falls for higher energies