Abstract

Multiplicity distributions of charged particles measured by the ATLAS Collaboration in proton–proton collisions at sqrt{s}=8 and 13 TeV are analyzed in the framework of a weighted superposition of three negative binomial distribution functions. The examination of the experimental data confirms the existence of a narrow peak at low multiplicities found earlier at sqrt{s}=0.9 and 7 TeV. The peak is described by the third separate component of the total distribution. The energy dependence of the multiplicity characteristics of the three-component scenario is studied. It is demonstrated that the third multiplicity component might be responsible for oscillations of combinants observed lately in the analysis of the multiplicity distributions measured in proton–proton collisions at the LHC. Some consequences of the three-component description of the data for the clan parameters are analyzed.

Highlights

  • The multiplicity of produced particles is an important characteristic of the final state in high energy proton–proton collisions

  • The appearance of the second multiplicity component under the tail of the multiplicity distributions (MDs) is connected with cumulants each of which involves an infinite “cumulative” sum over all multiplicity probabilities P(n)

  • Unlike the two-component fits to the MDs measured at the LHC, the phenomenological fits with the third negative binomial distribution (NBD) component at low n can give oscillations of the combinants multiplied by their rank discovered lately [14] in multiplicity data measured by the CMS [15] and ALICE [16] Collaborations

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Summary

Introduction

The multiplicity of produced particles is an important characteristic of the final state in high energy proton–proton collisions. In this paper we study high statistic multiplicity data [11,12,13] obtained by the ATLAS Collaboration at the LHC in the framework of a weighted superposition of three NBDs. The aim is to achieve a detailed description of the data including the shape of the distributions in the region of maximal values of Pn. we consider the function (2) for N = 3 and extract values of the eight independent parameters (ni , ki , α2 and α3) corresponding to the ATLAS d√ata with different transverse momentum cuts at the energies s = 8 and 13 TeV.√The results are compared with our previous analysis [8] at s = 0.9 and 7 TeV and with a two-NBD parametrization of the same data

Weighted superposition of NBDs
MDs at low transverse momentum
Energy dependence of three-NBD description
Combinants of the MDs
Clan structure of three-NBD description
Discussion
Findings
Summary

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