Abstract
QCD equations for generating functionals are solved at coinciding momenta of particles. As a result, the relations for -particle correlation functions at equal momenta are obtained. They are directly connected to previously derived results about the factorial and cumulant moments of multiplicity distributions. It is predicted that the correlations at coinciding points decrease, first, as a function of the rank , and then start oscillating when represented in a form of the ratio of cumulant to factorial correlations. In particular, the cumulant function of the fifth rank should become negative at the origin. Some experimental data are discussed.
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