Bose-Einstein Correlations at fixed multiplicities in the quantum optical approach
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Bose-Einstein Correlations at fixed multiplicities
in the quantum optical approach
N. Suzuki, Matsumoto Univ., Japan
M. Biyajima, Shinshu Univ., Japan
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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
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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
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2.Momentum distributions in the semi-inclusive events
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3. Formulation in the quantum-optical approach
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3-1.Parametrization
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3-2.Multiplicity distribution in the QO approach
The MD is approximately given by the Glauber-Lachs formula.
KNO scaling function
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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)
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4-2. Analysis of BEC
ALICE collaboration Phys. ReV. D84,112044(2011) pp 7 TeV, |η|<1.2
q-side distribution :
q-long distribution :
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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
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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
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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
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5. Summary
q-long distribution :