Fluctuations of the number of participants and binary collisions in AA interactions at fixed centrality in the Glauber approach

Details Fluctuations of the number of participants and binary collisions in AA interactions at fixed centrality in the Glauber approach Fluctuations of the number of participants and binary collisions in AA interactions at fixed centrality in the Glauber approach

2011-02-13

arxiv.org/abs/1102.2582v2

Phys.Rev.C84:054909,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

updated version; as published by Phys. Rev. C

Scientific paper

10.1103/PhysRevC.84.054909

In the framework of the classical Glauber approach, the analytical expressions for the variance of the number of wounded nucleons and binary collisions in AA interactions at a given centrality are presented. Along with the optical approximation term, they contain additional contact terms arising only in the case of nucleus-nucleus collisions. The magnitude of the additional contributions, e.g., for PbPb collisions at SPS energies, is larger than the contribution of the optical approximation at some values of the impact parameter. The sum of the additional contributions is in good agreement with the results of independent Monte Carlo simulations of this process. Due to these additional terms, the variance of the total number of participants for peripheral PbPb collisions and the variance of the number of collisions at all values of the impact parameter exceed several multiples of the Poisson variances. The correlator between the numbers of participants in colliding nuclei at fixed centrality is also analytically calculated.

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