A New Distribution for the Charged Particle Multiplicities in DIS at HERA and Hadron-Hadron Collisions at the LHC

Abstract

AbstractCharged particle multiplicities produced in the lepton proton collisions at \(\sqrt{s}=\) 300 GeV recorded using the H1 detector at the HERA accelerator and those from the proton–proton collisions at \(\sqrt{s}=\)7 TeV at the LHCb detector at the LHC have been analyzed using Shifted Gompertz distribution. The normalized moments and factorial moments are calculated from the proposed new statistical probability distribution and have been compared to those calculated from the data. The study of the charged particle multiplicities is important to understand the underlying dynamics of hadronisation and charged particle production mechanisms. There are various statistical models which are used to study charged particle multiplicities, the one most commonly and successfully used being the Negative Binomial distribution. The new distribution used in this paper, the Shifted Gompertz distribution, has been used to successfully describe the charged particle multiplicities in the \(e^{+}e^{-}\) spectra at the ISR energies as well as to the \(pp(\overline{p})\) spectra at the highest LHC (Tevatron) energies.KeywordsCharged particle multiplicitiesshifted Gompertz distributionMoments