Negative binomial multiplicity distributions in continuous domains

L. Van Hove

Physica A: Statistical Mechanics and its Applications, 1987, vol. 147, issue 1, 19-32

Abstract: Prompted by experimental evidence on multiplicity distributions of particles produced in high energy collisions, we study the class of distributions of points in a continuous domain D0, characterized by the property that the multiplicity of points in D0 and in any subdomain D of D0 has a negative binomial distribution. We show that a distribution of this class is completely determined by the two parameters Q1(y) = dn/dy and k(y) of the multiplicity distribution in infinitesimal neighbourhoods of all points y of D0. We prove that the distribution can be constructed by N-fold convolution of identical uncorrelated “clan” distributions, the number N of clans being itself Poisson-distributed. The clan distribution, which involves all correlations of the original distribution, is found to be very simply expressed in terms of Q1(y) and k(y).

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:147:y:1987:i:1:p:19-32

DOI: 10.1016/0378-4371(87)90094-X

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