Moments of event observable distributions and many-body correlations

Details Moments of event observable distributions and many-body correlations Moments of event observable distributions and many-body correlations

1999-03-05

arxiv.org/abs/nucl-th/9903017v2

Physics

Nuclear Physics

Nuclear Theory

Latex, 7 pages. Minor modifications with few comments added

Scientific paper

We investigate event-by-event fluctuations for ensembles with non-fixed multiplicity. Moments of event observable distributions, like total energy distribution, total transverse momentum distribution, etc, are shown to be related to the multi-body correlations present in the system. For classical systems, these moments reduce in the absence of any correlations to the moments of particle inclusive momentum distribution. As a consequence, a zero value for the recently introduced $\Phi$-variable is shown to indicate the vanishing of two-body correlations from one part, and of correlations between multiplicity and momentum distributions from the other part. It is often misunderstood as a measure of the degree of equilibration in the system.

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