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arXiv · 1010.1870

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

Takuya Mizoguchi·Minoru Biyajima
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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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Takuya Mizoguchi, Minoru Biyajima. 2010-10-09. Analyses of multiplicity distributions with η_c and Bose-Einstein correlations at LHC by means of generalized Glauber-Lachs formula. https://doi.org/10.1140/epjc%2Fs10052-010-1505-1

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