Charged particle production in $pp$ collisions at $\sqrt{s}$=8, 7 and 2.76 TeV at the LHC -- a case study

Abstract

We analyse the charged$\text{-}$particle multiplicity distributions measured by the ALICE experiment, over a wide pseudorapidity range, for $pp$ collisions at $\sqrt{s}$=8,\,7\,and\, 2.76~TeV at the LHC.~The analysis offers an understanding of particle production in high energy collisions in the purview of a new distribution, the shifted Gompertz distribution.~Data are compared with the distribution and moments of the distributions are calculated.~A modified version of the distribution is also proposed and used to improve the description of the data consisting of two different event classes; the inelastic and the non$\text{-}$single$\text{-}$diffractive and their subsets in different windows of pseudorapidity, $\hat{I}\cdot$.~The distribution used to analyse the data has a wide range of applicability to processes in different fields and complements the analysis done by the ALICE collaboration in terms of various LHC event generators and IP-Glasma calculations.

22 Pages, 8 Figures and 11 Tables