Flow in Cu+Au collisions and uniquetests of 3D medium evolution	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	  Univ.	  of	  Tsukuba	  RIKEN	

19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

1	

Outline	üIntroductionüv2, v3 in CuAu collisionüv1 in CuAu collisionüSummary 	

19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

2	

Azimuthal Anisotropy	üThe Azimuthal Anisotropy is good probe

vn =< cos(n[φ − Φn ]) >n=1 Directed
n=2 Elliptic
n=3 TriangularInitial state geometryèη/sèEquation of state
19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

3	

Flow in symmetric collision systems 	
PRL 107,252301 	

H-31 Poster, Reynollds 	

ü vn is studied in AuAu, CuCu collisions- Clear centrality dependence of v2 in AuAu, CuCu
- Weak / No significant centrality dependence ofv3 in AuAu, CuCu
19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

4	

Introduction of CuAu collisions	
üCuAu asymmetric collision
provide us unique information-Left/Right difference inpressure gradientè v1 is effective- Initial spatial triangularity
èLead to large v3 ?
- Asymmetric rapidity
distribution

Forward multiplicity
vs Backward multiplicity	

Cu going 	

600	

Glauber Monte Calro	

19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

Au going 	

900	5	Flow Measurement via EP method 	üvn is measured via EP method	
vn =< cos(n[φ − Φ n ]) >Cu	Au	üEP is measured byForward/Backward detector
CNT	dN/dη	- BBC (3.1<|η|<3.9)
FVTX	
- MPC (3.1<|η|<3.8)
MPC	
- SMD (|η|>5)
BBC	ü Charged Hadron track
SMD	
- CNT(|η|<0.35)- FVTX (1.5<|η|<3)	
19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

6	 η	Centrality dependence of v2, v3 in 200 GeV CuAu	

üCuAu v2, v3 (pt) are measured- Clear centrality dependence of v2- No Significant centrality dependence of v3
è Same centrality dependence as seen in symmetric collisions
19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

7	

Comparison to AuAu, CuCu v2	

üSystem size dependence- AuAu > CuAu > CuCu
- Originated from initial ε2ü Expansion with enough Npart
19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

arXiv:1111.5095	

8	

Comparison to AuAu, CuCu v3	

üSmall system size dependence- It is expected from similar ε3- v3 is given by multiplicity and ε3
19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

arXiv:1111.5095	

9	

Comparison to Theory	
Bozek,	  PLB	  717	  (2012)	  287	ü Comparison to Theory ( Glauber and 4πη =1(2) )- pT<1[GeV/c], Experimental data agree better with 4πη/s=1 ?
- pT>1[GeV/c], Experimental data agree better with 4πη/s=2 ?
19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

10	

v1 Fluctuation in CuAu	

Ψ(n)PP	  :	  ParHcipant	  Plane	Ψ pSP	  :	  Spectator	  Plane(projecHle)	  Ψ tSP	  	  :	  Spectator	  Plane(target)	  ΨRP	  	  	  :	  ReacHon	  Plane	  Cu	Au	ü Spectatoris expected
to fluctuate
pt
pt
Ψ
≠Ψ
≠
Ψè SPPPSP èv1(Ψ SP) ≠v1(Ψ SP)èv1 = v1(Traditional) + v1(SP fluctuation)v1(Traditional): v1(η) = -v1(-η)
v1(SP Fluctuation) : v1(η) = v1(-η)ü Are there two v1 components in CuAu ?
ü How asymmetric two v1 components are in CuAu ?

19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

11	η Symmetric/Anti-symmetric v1 in CuAu	
v1

v1	  (Cu	  spectator)	  >	  0	0.04

0

Ψ1Cu	

charged particles, p integrated, s NN=200GeVTBBC AuAu
BBC CuAu (SMD-Au-going)
BBC CuAu (SMD-Cu-going)
FVTX CuAu (SMD-Au-going)
FVTX CuAu (SMD-Cu-going)

0.02

φ − Ψ CuSPAu	Cu	üv1=	  0	  at	  	  η=0	  in	  AuAu	  v1=0	  	  (η∼0)	  in	  AuAu	
Cu going
Au going

-0.02

-0.04

Ψ1Au	 40-50% Centrality-4 -3 -2

-1

019/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

1234
η

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

12	η Symmetric/Anti-symmetric v1 in CuAu	
v1

v1	  (Cu	  spectator)	  >	  0	0.040

Ψ1Cu	charged particles, p integrated, s NN=200GeVT
BBC AuAu
BBC CuAu (SMD-Au-going)
BBC CuAu (SMD-Cu-going)
FVTX CuAu (SMD-Au-going)
FVTX CuAu (SMD-Cu-going)

0.02

φ − Ψ Cu
SPAu	Cu	üv1=	  0	  at	  	  η=0	  in	  AuAu	  Au
ü v1	  	  w.r.t	  	  	   SP

Ψv1=0	  	  (η∼0)	  in	  AuAu	
Cu going
Au going

-0.02

-0.04

Ψ1Au	 40-50% Centrality-4 -3 -2-1019/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

1234ηHiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

13	η Symmetric/Anti-symmetric v1 in CuAu	
v1v1	  (Cu	  spectator)	  >	  0	0.04

0

Ψ1Cu	

charged particles, p integrated, s NN=200GeVT
BBC AuAu
BBC CuAu (SMD-Au-going)
BBC CuAu (SMD-Cu-going)
FVTX CuAu (SMD-Au-going)
FVTX CuAu (SMD-Cu-going)

0.02

φ − Ψ Cu
SPAu	Cu	üv1=	  0	  at	  	  η=0	  in	  AuAu	  Au
ü v1	  	  w.r.t	  	  	   SPΨv1=0	  	  (η∼0)	  in	  AuAu	
Cu goingAu goingü v1	  	  w.r.t	  	  ΨCuSP-0.02-0.04

Ψ1Au	 40-50% Centrality-4 -3 -2-1019/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

1234
η

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

14	η Symmetric/Anti-symmetric v1 in CuAu	
v1

v1	  (Cu	  spectator)	  >	  0	0.04

0

Ψ1Cu	

charged particles, p integrated, s NN=200GeVT
BBC AuAu
BBC CuAu (SMD-Au-going)
BBC CuAu (SMD-Cu-going)
FVTX CuAu (SMD-Au-going)
FVTX CuAu (SMD-Cu-going)

0.02

φ − Ψ Cu
SPAu	Cu	üv1=	  0	  at	  	  η=0	  in	  AuAu	  Auü v1	  	  w.r.t	  	  	   SPΨv1=0	  	  (η∼0)	  in	  AuAu	
Cu going
Au going

ü v1	  	  w.r.t	  	  ΨCuSPü v1(ﬂu)	  =	  (blue–orange)/2	  -0.02

ü v1(tra)	  =	  (blue+orange)/2	  -0.04

Ψ1Au	

 

40-50% Centrality-4 -3 -2-1

019/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

1234
η

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	15	η Symmetric/Anti-symmetric v1 in CuAu	
v1v1	  (Cu	  spectator)	  >	  0	0.04

0

Ψ1Cu	

Au	

charged particles, p integrated, s NN=200GeVT
BBC AuAu
BBC CuAu (SMD-Au-going)
BBC CuAu (SMD-Cu-going)
FVTX CuAu (SMD-Au-going)
FVTX CuAu (SMD-Cu-going)

0.02

φ − Ψ Cu
SPCu	üv1=	  0	  at	  	  η=0	  in	  AuAu	  Au
ü v1	  	  w.r.t	  	  	   SPΨv1=0	  	  (η∼0)	  in	  AuAu	
Cu going
Au going

ü v1	  	  w.r.t	  	  ΨCuSPü v1(ﬂu)	  =	  (blue–orange)/2	  -0.02

ü v1(tra)	  =	  (blue+orange)/2	  -0.04

Ψ1Au	

 

40-50% Centrality-4 -3 -2-10

123

ü v1(tra)	  	  is	  shieed	  to	  	  4 	  	  	  	  Cu	  going	  side	  	  η19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

16	η Symmetric/Anti-symmetric v1 in CuAu	
v1

v1	  (Cu	  spectator)	  >	  0	0.04

Ψ1Cu	

Au	

charged particles, p integrated, s NN=200GeVTBBC AuAu
BBC CuAu (SMD-Au-going)
BBC CuAu (SMD-Cu-going)
FVTX CuAu (SMD-Au-going)
FVTX CuAu (SMD-Cu-going)Cu	üv1=	  0	  at	  	  η=0	  in	  AuAu	  Au
ü v1	  	  w.r.t	  	  	   SP

Ψ

0.02

0

φ − Ψ Cu
SPCu going
Au going

ü v1(ﬂu)	  =	  (blue–orange)/2	  v1>0	  ?	  (η∼0)	

-0.02

ü v1	  	  w.r.t	  	  ΨCuSPü v1(tra)	  =	  (blue+orange)/2	  -0.04

Ψ1Au	 40-50% Centrality-4 -3 -2-10

123ü v1(tra)	  	  is	  shieed	  towards	  	  4 	  	  	  	  Cu	  going	  side	  	  η19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	ü v1(tra)	  >0?	  at	  η=0	  Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

17	

Summary	ü CuAu v2, v3(pt)- Clear centrality and system size dependence of v2- No significant centrality and system size dependence of v3
ü CuAu v1 (η)- negative slope in v1(Traditional) as a function of η
- Rapidity η0(v1~0) is shifted towards Cu-going direction
or v1 > 0 at η ~ 0- negative v1(SP Fluctuation) : v1(Ψ1Cu)<v1(Ψ1Au)
AuAu	

Au	CuAu	

Cu	

v1	  >0	  	  Cu	  spectator	  Au	Au	19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	v1	  <0	  	  Au	  spectator	  	Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

18	

Comparison to Theory	
Bozek,	  PLB	  717	  (2012)	  287	

19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  for	  the	  PHENIX	  collaboraHon	

19	v1 Even, Odd Components in PbPb 	QM2011	  ALICE	  	  ü v1(even + odd) = v1(even) + v1(odd) is observed in PbPb 2.75[TeV]- v(even): v1(η) = v1(-η)- v1(odd) : v1(η) = -v1(-η)- The source of even component is expected from spectator fluctuationü Same EP(Spectator) dependence is seen.
- v1( EP η<0) > v1(EP η>0)
19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

20	

v1v1

Centrality dependence of v1	
0.04

charged particles, p integrated, s NN=200GeVT
BBC AuAu
BBC CuAu (SMD-Au-going)
BBC CuAu (SMD-Cu-going)
FVTX CuAu (SMD-Au-going)
FVTX CuAu (SMD-Cu-going)

0.02

0

Ψ1Cu	

Ψ1Cu	

0.02
Cu going
Au going

-0.02

-0.04

charged particles, p integrated, s NN=200GeVT
BBC AuAu
BBC CuAu (SMD-Au-going)
BBC CuAu (SMD-Cu-going)
FVTX CuAu (SMD-Au-going)
FVTX CuAu (SMD-Cu-going)

0.04

0Cu going
Au going-0.02

 

30-40% Centrality

Ψ1Au	 -4 -3 -2 -1 0

1234
η

-0.04

 

50-60% Centrality

Ψ1Au	 -4 -3 -2 -1 0

1ü The shift of v1 is seen between two spectator planes. (v1even)- v1{ΨS.P.(SMD Au-going η<0)} > v1{ΨS.P.(SMD Cu–going η>0)}- Same direction as seen in ALICE

2

34
η

ü Both components show some centrality dependences- Odd : Clear shift of η0(v1~0) towards Cu-going direction (asymmetry in v1odd)- Even : No clear asymmetry (some possible difference between for./back.)
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Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

21	

v10.04Ψ1Cu	v1	  (|η|<0.35)	  x	  10	charged particles, p integrated, s NN=200GeVT
BBC AuAu
BBC CuAu (SMD-Au-going)
BBC CuAu (SMD-Cu-going)
FVTX CuAu (SMD-Au-going)
FVTX CuAu (SMD-Cu-going)v1<0	  (η∼0)	

0.02

0-0.02

-0.04

Ψ1Au	

v1	  (Au	  spectator)	  >	  0		v1	  (Cu	  spectator)	  >	  0	v1 x	  10v1 in CuAu	

Cu going
Au going

v1(pT) :More low pT particles are emitted to Cu side
More high pT particles are emitted to Au sidev1>0	  ?	  (η∼0)	

v1(even)	  =	  blue	  –	  orange	  v1(odd)	  	  =	  (blue	  +	  orange)/2	 

40-50% Centrality-4 -3 -2-1

0

12

3

η0(v1~0), where v1 sign changes, is seen

to be shifted towards Cu-going direction
19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	Cu	

4
ηlow	  pT	

Hiroshi	  Nakagomi	  	  for	  the	  PHENIX	  collaboraHon	

Au	high	  pT	22	v1 (pT) in CuAu 	v1	  (Au	  spectator)	  >	  0	19/5/2014	  QuarkMa/er	  2014	  	  Darmstadt,	  Germany	

Hiroshi	  Nakagomi	  for	  the	  PHENIX	  collaboraHon	

φ − Ψ Cu
SPCu	Au	23