Multiplicity Distributions in Regge-Pole-Dominated Inclusive Reactions

Multiplicity distributions, the dependence on n of ψₙ=σₙσ, are discussed. Within the framework of the Amati-Fubini-Stanghellini model, a cluster expansion for the moments of ψₙ is derived. This same expansion is then derived as a consequence of asymptotic dominance of inclusive reactions by an isolated, factorizable Regge pole. Such an expansion furnishes a systematic way of describing the shape of ψₙ. It is argued that a Poisson distribution for multiple particle production can not be expected to occur, even for very high energies.