Negative Binomial Distribution and the multiplicity moments at the LHC

In this work we show that the latest LHC data on multiplicity moments C2 −C5 are well described by a two-step model in the form of a convolution of the Poisson distribution with energy-dependent source function. For the source function we take Γ Negative Binomial Distribution. No unexpected behavior of Negative Binomial Distribution parameter k is found. We give also predictions for the higher energies of 10 and 14 TeV. One of the widely discussed, yet unsolved, problems in high energy hadron scattering is the production mechanism of low and medium pT hadrons. Here perturbative QCD cannot be applied and one resorts to phenonemonologi-cal models and/or Monte Carlo generators [1]. With the advent of any new hadron accelerator the quantities first studied are charged particle multiplic-ities. Indeed, the first physics LHC paper, the one by Alice collaboration [2], dealt with the average multiplicity. By now data on multiplicity moments were published by Alice [3] and CMS [4]. It is therefore important to find if their behavior can be explained in terms of some simple phenomenologi-cal models or the widely used MC generators. The latter has been recently addressed in Refs.[5]. Throughout this paper we explore the well known observation, recentl