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

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 root 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 formulas 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 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.