Analyses of multiplicity distributions with η c and Bose–Einstein correlations at LHC by means of generalized Glauber–Lachs formula
Toba National College of Maritime Technology, Toba, 517-8501, Japan
2 Department of Physics and College of General Education, Shinshu University, Matsumoto, 390-8621, Japan
Published online: 24 November 2010
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 –2.36 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 formulas for the parameters 1/k and γ in the GGL formula, we predict the multiplicity distributions with η c =0.5 at 7 and 14 TeV. Data on the second 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 third order BEC at 0.9 and 2.36 TeV are presented. Moreover, the information entropy is discussed.
© Springer-Verlag / Società Italiana di Fisica, 2010