Analyses of multiplicity distributions and Bose-Einstein correlations at the LHC by means of generalized Glauber-Lachs formula

TL;DR

This paper analyzes charged multiplicity distributions and Bose-Einstein correlations at the LHC using the generalized Glauber-Lachs formula, confirming scaling behaviors and predicting distributions at higher energies.

Contribution

It introduces empirical parameterizations within the GGL framework to predict multiplicity distributions and BEC at higher LHC energies, extending previous analyses.

Findings

KNO scaling holds at certain energies and pseudorapidity intervals.

Parameters in the GGL formula depend on collision energy and are empirically modeled.

Predictions for multiplicity distributions and third-order BEC at 7 and 14 TeV are provided.

Abstract

Using the negative binomial distribution (NBD) and the generalized Glauber-Lachs (GGL) formula, we analyze the data on charged multiplicity distributions in the several pseudorapidity intervals |\eta| < \eta_c at 0.2 - 7 TeV by UA5 and ALICE Collaborations. We confirm that the KNO scaling holds among the multiplicity distributions with \eta_c = 0.5 at \sqrt{s} = 0.2 - 2.36 TeV and estimate the energy dependence of a parameter 1/k in NBD and parameters 1/k and \gamma (the ratio of the average value of the coherent hadrons to that of the chaotic hadrons) in the GGL formula. Using empirical formulae for the parameters 1/k and \gamma in the GGL formula, we predict the multiplicity distributions with \eta_c = 0.5 at 7 and 14 TeV. Data on the second order Bose-Einstein correlations (BEC) at 0.9 and 2.36 TeV by ALICE and CMS Collaborations are also analyzed based on the GGL formula. Predictions for the third order BEC at 0.9 and 2.36 TeV are presented.