Integral correlation measures for multiparticle physics

Abstract

We report on a considerable improvement in the technique of measuring multiparticle correlations via integrals over correlation functions. A modification of measures used in the characterization of chaotic dynamical sytems permits fast and flexible calculation of factorial moments and cumulants as well as their differential versions. Higher order correlation integral measurements even of large multiplicity events such as encountered in heavy ion collisons are now feasible. The change from "ordinary" to "factorial" powers may have important consequences in other fields such as the study of galaxy correlations and Bose-Einstein interferometry. PACS: 24.60Ky, 13.85Hd, 25.70Np, 98.60Eg

Generalized bunching parameters and multiplicity fluctuations in restricted phase-space bins

“…From this point of view, no simple connection exists between O ( ) (or O ( )) and O ( ). The same is true for the conventional and the generalized NFMs [23]. Furthermore, the relation between the NFMs and the BPs O ( ) ceases to have a simple form.…”

“…Spikes do not contribute to the N O (m, ) if the boundaries of bins happen to split such spikes. This deficiency can be avoided by the choice of a proper distance X GH between two particles, which as demonstrated in [23], would have the additional advantage of largely increasing the statistics effectively used in a given experiment, at a given resolution.…”

“…All these kinds of definitions have an important advantage over the conventional definition (23) or (25): we now can study the structure of spike fluctuations. In addition, we can investigate a given sample in a variety of new variables.…”

“…which corresponds to the longest distance between two particles connected by one joining line, and the ''star'' topology [23] defined as…”

Factorial moments and correlations in transverse momentum in π+p and K+p collisions at 250 GeV/c

“…of unbiased estimators for the moments and their normalization is demonstrated in [10]. The evaluated with particles j taken randomly from different events ("event mixing").…”