Analyses of multiplicity distributions and Bose-Einstein correlations at the LHC by means of

generalized Glauber-Lachs formula

Takuya MizoguchiToba National College of Maritime Technology,

Japan

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

Takuya Mizoguchi and Minoru Biyajima

Eur.Phys.J.C70(2010)1061-1069http://arxiv.org/abs/1010.1870

Introduction• The multiplicity distributions in pp with |η|< η ｃ＝

0.5, 1.0, 1.3 at 0.9 and 2.36 TeV by ALICE Coll.– negative binomial distribution (NBD)– KNO scaling– generalized Glauber-Lachs (GGL) formula

• Bose-Einstein correlations (BEC) in pp at 0.9 　and 2.36 TeV by ALICE and CMS Coll.– BEC based on the GGL formula.

• the infomation entropy• strong final state interaction (FSI) in BEC

Multiplicity distributions

Analyses of data on multiplicity distributions

(a)-(d) NSDUA5: 0.2, 0.54, 0.9 TeV |η|<0.5, 1.5

ALICE: 0.9, 2.36 TeV |η|<0.5, 1.0, 1.3

ALICE, |η|<1.0

Results in analyses of multiplicity distributions (NSD except for 7 TeV)

The energy dependence of 1/k and γ for multiplicity distritbution (MD) with |η|< 0.5

Prediction of multiplicity distributions with |η| < 0.5 at 7 and 14 TeV.

Analyses of data on KNO scaling distributions

Results in analyses of KNO scaling distributions

Bose-Einstein correlations (BEC)(GGLP effect or hadronic HBT effect)

Analyses of data on the 2nd order BEC

E2B: exponential form

Results in analyses of BEC

Predictions of the 3rd order BEC based on GGL

Concluding remarks (MD)• The multiplicity distributions with |η| < 0.5 are fairly well

described by the NBD and GGL. • Estimated χ2 in the GGL formula are slightly better than

those of the NBD. • As the pseudo-rapidity cutoffs increase, the data with |η|

< 1.0 and1.3 show slightly weak violations in KNO scaling distributions.

• We predict multiplicity distributions with |η| < 0.5 at 7 and 14 TeV. If there were discrepancies among data and predictions, we should consider the other effect, for example, due to the mini-jets.

Concluding remarks (BEC)

• The results by the exponential formula seem to be better than those by the Gaussian formula.

• γ's obtained seem to be similar each other.• To obtain more significant knowledge on the parameter

γ, analyses of the multiplicity distributions and the BEC in the same hadronic ensembles are necessary.

• By comparisons of 2nd order with 3rd order, we could obtain more useful information on the parameter γ and the role of the GGL formula.

Discussion : The information entropy

Scaling law

Strong final state interaction （ FSI) in BEC

Analyses of anti bunching effect by FSI

Analyses of KS0 KS

0 correlation by FSI

ALICE, 7 TeV ALICE, 7 TeV