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Multiplicities in Deep Hadron-Hadron Scattering

We derive, an expression for the average multiplicity for an inclusive experiment a + b +c + X, where a, b, and c are hadrons and c is detected with a large transverse momentum. If EC is the energy of c in the center-of-mass of aandb, wefind <n(s9 Ec) 'deep N (Ce+,-+C~hEc2'Chh as s and the transverse momentum of c get large. If Ec>&/4, the last term is absent. C e+e-and Ch are related to the average multiplicities in annihilation and small angle hadron-hadron scattering respectively, while Cx is determined by the final hadron density in the hole plateau region. We also apply our method to the semi-inclusive reaction a+b-tc+d+X where c and d both have large pI 0 Finally, we speculate about the value of Cx, and about nonasymptotic relations between multiplicities in various reactions.