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

TL;DR

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

Contribution

It introduces empirical parameterizations within the GGL framework to describe multiplicity distributions and BEC, and provides predictions for future collider energies.

Findings

KNO scaling holds at certain energies and pseudorapidity cutoffs.

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

Predictions for multiplicity distributions and third-order BEC at higher energies are provided.

Abstract

Using the negative binomial distribution (NBD) and the generalized Glauber-Lachs (GGL) formula, we analyze the data on charged multiplicity distributions with pseudo-rapidity cutoffs \eta_c at 0.9, 2.36, and 7 TeV by ALICE Collaboration and at 0.2, 0.54, and 0.9 TeV by UA5 Collaboration. We confirm that the KNO scaling holds among the multiplicity distributions with \eta_c = 0.5 at \sqrt{s} = 0.2\sim2.36 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 2nd order Bose-Einstein correlations (BEC) at 0.9 TeV by ALICE Collaboration and 0.9 and 2.36 TeV by CMS Collaboration are also analyzed based on the GGL formula. Prediction for the 3rd order BEC at 0.9 and 2.36 TeV are presented. Moreover, the information entropy is discussed.