Study of Fluctuations on Isospin Symmetry in Au+Au Collisions at RHIC-PHENIX. Tomoaki Nakamura / Kensuke Homma Hiroshima Univ. for the PHENIX Collaboration. Contents. Physics Motivation PHENIX Experiment Multi Resolution Analysis (MRA) Result Summary.
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Study of Fluctuations on Isospin Symmetry in Au+Au Collisions at RHIC-PHENIX
Tomoaki Nakamura / Kensuke Homma
Hiroshima Univ.
for the PHENIX Collaboration
Tomoaki Nakamura Hiroshima Univ.
Tomoaki Nakamura Hiroshima Univ.
Anti Centauro
(High Energy Cosmic Ray Experiment)
(High Energy Accerarator Experiment)
(High Energy Heavy Ion Experiment)
O : Photon, + : Charged Particle
Tomoaki Nakamura Hiroshima Univ.
V
V
π
π
σ
σ
(Quench Mechanism) K.Rajagopal and F.Wilczek : Nucl. Phys. B379, 395 (1993)
Restoration
Quench
QCD vacuum
DCC
Fluctuation of Asymmetry as a function of pseudo rapidity
Chiral Transformation
Linear sigma model
Tomoaki Nakamura Hiroshima Univ.
Rejected EMCal Cluster
Associated PC3 Cluster
PC1 Cluster
BBC Z-Vertex
Z
Using Magnetic Field-off data
Gamma like Cluster (EMC)
Charged Track (PC1, PC3)
Pad Chamber 1 (PC1)
Pad Chamber 2 (PC2)
Lead Grass Electro-Magnetic Calorimeter (EMC)
Tomoaki Nakamura Hiroshima Univ.
(Real Data)
(MC with Full Reconstruction)
Tomoaki Nakamura Hiroshima Univ.
Domain Size
δAI3
Deviation Size
Domain Position
pseudo rapidity
Tomoaki Nakamura Hiroshima Univ.
Levelj-1: 2j-1bins
Levelj : 2jbins
φ(x)
0.7
Scaling function
x
1
φ(2x)
1
φ(2x-1)
(＋)
-0.7
＝
1
x
1
x
ψ(x)
(－)
-1
0.7
-1
Wavelet function
x
φ(2x)= 1/√2 {φ(x)+ψ(x)}
φ(2x-1)= 1/√2 {φ(x)- ψ(x)}
-0.7
Tomoaki Nakamura Hiroshima Univ.
Signal
j=4
22
20
φ
ψ
Cjk
Djk
j=3
+
j=2
+
j=1
+
j=0
+
k
k
j : resolution level
k : k-th bin in pseudo rapidity
Cjk : coefficients of φ
Djk : coefficients of ψ
j → Domain Size
k → Phase Space Position
Djk → Deviation Size
Tomoaki Nakamura Hiroshima Univ.
j=5
Δη=0.0219
j=4
Δη=0.0438
j=3
Δη=0.0875
j=2
Δη=0.1750
j=1
Δη=0.3500
-0.6 -0.4 -0.2 0.0 0.2 0.4 0.6
[Djk max]
Red : Real Data PHENIXB-field off data √sNN =130GeV Selected 44,180 events from minimum bias 700k events.
Blue : MC with Full reconstructionHIJING √sNN =130GeV Selected 25,281 events from minimum bias 200k events
Tomoaki Nakamura Hiroshima Univ.
Djk Max (J=5) (Nch = 10, Nγ=10)
99.95% exclude
99.98% exclude
99.999% exclude
[Djk max]
Binomial Distribution
Tomoaki Nakamura Hiroshima Univ.
Asymmetry (-) Asymmetry (+)
PC1
PC1
j=5Δη=0.0219
Phi [rad]
Phi [rad]
PC3
PC3
Z [cm]
Z [cm]
Phi [rad]
Phi [rad]
Z [cm]
Z [cm]
EMC
EMC
Phi [rad]
Phi [rad]
Z [cm]
Z [cm]
Tomoaki Nakamura Hiroshima Univ.
PC1
PC1
j=4Δη=0.0438
j=3Δη=0.0875
Phi [rad]
Phi [rad]
PC3
PC3
Z [cm]
Z [cm]
Phi [rad]
Phi [rad]
Z [cm]
Z [cm]
EMC
EMC
Phi [rad]
Phi [rad]
Z [cm]
Z [cm]
Tomoaki Nakamura Hiroshima Univ.
PC1
PC1
j=2Δη=0.1750
j=1Δη=0.3500
Phi [rad]
Phi [rad]
PC3
PC3
Z [cm]
Z [cm]
Phi [rad]
Phi [rad]
Z [cm]
Z [cm]
EMC
EMC
Phi [rad]
Phi [rad]
Z [cm]
Z [cm]
Tomoaki Nakamura Hiroshima Univ.
j=5 Δη=0.0219
j=4 Δη=0.0438
j=3 Δη=0.0875
j=2 Δη=0.1750
j=1 Δη=0.3500
[GeV]
Total Energy of Electro-Magnetic Calorimeter
Tomoaki Nakamura Hiroshima Univ.
(# of anomalous events) / (selected total # of events) : 153 / 44,180
Tomoaki Nakamura Hiroshima Univ.
Tomoaki Nakamura Hiroshima Univ.
PC1
PC1
j=1Δη=0.3500
Raw Cluster
Phi [rad]
Phi [rad]
PC3
PC3
Z [cm]
Z [cm]
Phi [rad]
Phi [rad]
Z [cm]
Z [cm]
EMC
EMC
Phi [rad]
Phi [rad]
Z [cm]
Z [cm]
Tomoaki Nakamura Hiroshima Univ.
associated PC3 cluster
PC3 cluster
PC1 cluster
associated PC1 cluster
Z
Z
Rejected EMC cluster
BBC-Zvertex
Tomoaki Nakamura Hiroshima Univ.
A symmetric structure
appears in wrong level
Shift the start bin at each
resolution level.
Find djk max among all of levels.
This can determine the level
(domain size) with the largest
deviation size.
djk is lower
should appear here !
Tomoaki Nakamura Hiroshima Univ.
Success probability that a correct domain size is found
Domain size
of 28 / 2j
j=1
j=2
j=3
j=4
j=5
j=6
j=7
Deviation size Ns
Tomoaki Nakamura Hiroshima Univ.