Bose-Einstein Correlations at fixed multiplicities

in the quantum optical approach

N. Suzuki, Matsumoto Univ., Japan

M. Biyajima, Shinshu Univ., Japan

Contents

1.Introduction2.Momentum distributions at fixed n3.Formulation in the quantum optical

approach4.Data analysis Multiplicity distribution BEC (q-long, q-side distributions )5.Summary

Semi-inclusive events

1.Introduction

Multiplicity distributionOne-particle momentum density 　Two-particle momentum density

　 If these distributions are constructed from the same data samples, Parameters on the BEC (cf. source radius, which is estimated from the 2-body BEC) are included in the multiplicity distribution.

2-particle Bose-Einstein correlation function

2.Momentum distributions in the semi-inclusive events

3. Formulation in the quantum-optical approach

3-1.Parametrization

3-2.Multiplicity distribution in the QO approach

The MD is approximately given by the Glauber-Lachs formula.

KNO scaling function

4.Data analysis (MD)

0 10 20 30 40 50 60 70 801.0E-04

1.0E-03

1.0E-02

1.0E-01ALICE 7TeV |η|<1

dataP(n)

nch

P(nch)

　

4-2. Analysis of BEC

ALICE collaboration Phys. ReV. D84,112044(2011) pp 7 TeV, |η|<1.2

q-side distribution :

q-long distribution :

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8

0.9

1.0

1.1

1.2

1.3

1.4

1.5 C4(ql), kT=(0.2,0.3) ALICE 7TeV

dataBEC

ql

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8

0.9

1.0

1.1

1.2

1.3

1.4

1.5 C10(ql), kT=(0.2-0.3) AL-

ICE 7TeV

DataBEC

ql

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10.8

0.9

1.0

1.1

1.2

1.3

1.4

1.5 C13(ql), kT=(0.3,0.4) ALICE 7TeV

DataBEC

ql

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8

0.9

1.0

1.1

1.2

1.3

1.4

1.5 C17(ql), kT=(0.2,0.3)

ALICE 7TeV

DataBEC

ql

0.0 0.2 0.4 0.6 0.8 1.0 1.2 0.8

0.9

1.0

1.1

1.2

1.3

1.4

1.5 C4(qs), kT=(0.2,0.3)

ALICE 7TeV

dataBEC

qs

0.0 0.2 0.4 0.6 0.8 1.0 1.2 0.8

0.9

1.0

1.1

1.2

1.3

1.4

1.5 C10(qs), kT=(0.2,0.3)

ALICE 7TeV

Data

BEC

qs

0 0.2 0.4 0.6 0.8 1 1.20.8

0.9

1.0

1.1

1.2

1.3

1.4

1.5C13(qs), kT=(0.3,0.4)

ALICE 7TeV

DataBEC

qs

0 0.2 0.4 0.6 0.8 1 1.20.8

0.9

1.0

1.1

1.2

1.3

1.4

1.5 C17(qs), kT=(0.2,0.3)

ALICE 7TeV

DataBEC

qs

2 4 6 8 10 12 14 16 180.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

Multiplicity dependence ofparameters in Cn(ql)

Rl

Rs

n

fm

2 4 6 8 10 12 14 16 180.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

Multiplicity dependence ofparameters in Cn(qs)

Rl

Rs

n

fm

-4 -3 -2 -1 0 1 2 3 40

1

2

3

4

5

6

7

8dn/dy α=0.3

y

　

5. Summary

q-long distribution :