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

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 η_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 η_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 γ(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 γin the GGL formula, we predict the multiplicity distributions with η_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.

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• Finite size effects in the thermodynamics of a free neutral scalar field
• Analysis of Bose-Einstein correlation at 7 TeV by LHCb collaboration based on stochastic approach
• Unified Analyses of Multiplicity Distributions and Bose-Einstein Correlations at the LHC using Double-Stochastic Distributions
• Multiplicities in ultrarelativistic proton-(anti)proton collisions and negative binomial distribution fits
• Entropy and Multifractality in Relativistic Ion-Ion Collisions