Multiplicity distributions in the generalized Feynman gas model

Abstract

Abstract Multiplicity distributions Ψ n ( k ) in the generalized Feynman gas model of order k (defined by saying that all integrated correlation functions f n except f 1 ,…, f k are zero) are derived and expressed in terms of Poisson distributions with different ”average multiplicities”, which are related to the integrated correlation functions. The relations between Ψ n ( k ) and Ψ n ( j ) for arbitrary positive integers k , j are found. An intuitive picture to gain a better feeling for these relations is developed. On the basis of our formulae we show that the experimentally observed multiplicity distributions (between 50 GeV/ c and 303 GeV/ c incoming momentum) can be well reproduced by those of a Feynman gas model of order two. Other applications of our formulae are suggested.