Collective and non-flow correlations in event-by-event hydrodynamics

Transcription

1 Collective and non-flow correlations in event-by-event hydrodynamics Institute of Nuclear Physics Kraków WPCF

2 3 -D viscous hydrodynamics T T h /- v 3 [%] ideal, e-b-e η/s=.8, e-b-e η/s=.6, e-b-e p T [GeV] -5% central -2% central 3-4% central first 3D visc. : B.Schenke et al. c s lqcd Wuppertal-Budapest dn/dη PS ] -2 dy) [GeV dp dn/(2 π p Au-Au 2GeV 8 PHOBOS c=-6%,...,45-55% BRAHMS c=-5% η PS Au-Au 2GeV PHENIX data π -5% visc. hydro ideal fluid T [MeV] lqcd Hadron Gas -7 ideal fluid visc. hydro 4-5% p [GeV] T η/s =.8(.6)

3 Τ fmc high multiplicity p-pb event y fm Event-by-event hydrodynamics Glauber initial conditions Au-Au 2GeV Cu-Au 2GeV p-pb 4.4TeV d-pb 3.3TeV

4 p-pb, LHC dn 8 dη PS ALICE Pb-Pb 2.76TeV 7-8% 6-7% d-pb 3.TeV p-pb 4.4TeV d-pb 6.22TeV CMS 7TeV p-pb 8.8TeV TeV s NN large multiplicity - large fireball - collective expansion?

5 Fireball in p-pb ) part P(N.6 p-pb Glauber Monte-Carlo N Part (32-49%) N Part (4-32%) 7 8 N Part (-4%) N part ε p-pb Glauber Monte-Carlo ε 2 ε N part

6 v p-pb 4.4TeV 8 N part N part 7 8 N part v p-pb 4.4TeV 8 N part N part 7 8 N part p [GeV] p [GeV] elliptic flow in p-pb triangular flow

7 d-pb v d-pb 3.TeV dn 4 dη PS d-pb 3.TeV large elliptic flow 27 6 N part N part N part 26 5 p-pb 8 N part η PS y fm N part 6 N part 26 5 N part p [GeV] x fm

8 v ALICE Pb-Pb hydro p-pb hydro d-pb dn/dη collective flow effects peripheral Pb-Pb can be observed p-pb (d-pb) is not p-p superposition only p-p as baseline PS

9 Au Au Au d d d Event by event Cu-Au@2 GeV F F F -F F F d-au (Bialas Czyz) fη f Η fη f Η f Η f Η Η dn ch dη PS Cu-Au 2GeV -5% 2-3% η PS

10 Directed flow (%) v Cu-Au 2GeV v {RP} η/s=.8 v {RP} η/s= η PS - odd and even component - even component from fireball asymmetry 6 (%) 5 Cu-Au 2GeV c=2-3% v 4 v {EP} 3 2 v {EP} η/s=.6 v {RP} (even) v {RP} (odd) p [GeV] T fluctutations increase v

11 Directed flow in GeV (%) v.5 STAR c=5-4% τ =.2fm/c τ u x = xp p ǫ = x(p 2 3 p ǫ η τ ) -.5 3D hydro η/s=.8 η/s= η PS τ Y = ηp τ(p ǫ) = η(p 4 3 τ(p ǫ) η τ ) pressure anisotropy

12 Size fluctuations p fluctuations - v 6 N w r fm p 563MeV 6 N w r fm p 622MeV y fm 3 y fm 3 3 a 3 b x fm x fm proposed by Broniowski et al. Phys.Rev. C8 (29) 592 : two-shots calculation

13 > (GeV) <p T N w w= <r> (fm) (p i p )(p j p ) /2 p

14 PHENIX data vs. hydro. p Ti p Tj 2 pt c p Ti p Tj 2 pt p max T GeV

15 HBT of fluctuating fireballs Τ fmc single event smooth i.c x fm can the lumpy surface be observed?

16 HBT of fluctuating fireballs R out [fm] 6 4 (a) c=-5% Τ fmc 7.5 R side [fm] 6 4 Au-Au 2GeV STAR Data (b) 5 single event smooth i.c x fm can the lumpy surface be observed? R long [fm] R out /R side ev-by-ev average (c).5 (d) k T [GeV]

17 Charge balancing local charge conservation charge balance function _ p u _ p 2 Bass et al. (2)

18 Non-flow effect on v n v v PHENIX c=-% STAR v 2 v 2 ch. balan. hydro ch. balan. η/s= p [GeV] T PHENIX c=3-4% STAR p T a) hydro ch. bal. hydro b) hydro ch. balan. η/s=.6 [GeV] ] -3 [ v 2 n.9.8 (a) -5% η (LS) 2 v 2 (CI)-v STAR Data hydro hydro ch. balan. hydro ch. balan. η/s= dn/dη event-by-event

19 v - charge and momentum conservation transverse-momentum conservation lowers v 2 cos(φ φ 2 ) v c 34 c 5 c 67x P T tot GeV (b) 3-4% η comparison to the STAR data Borghini, Dinh, Ollitrault

20 CME signals cos(φ φ 2 ) cosαβ PT not conserved STAR (-)-() Η s.6, T f 5 MeV Η s.6, T f 4 MeV Η s.8, T f 5 MeV Η s.8, T f 4 MeV c LCC charge splitting C.I. - momentum conservation Pratt, Schlichting (2), Bzdak, Koch, Liao (2) cosαβ 3 cosαβ PT not conserved charge indep. STAR Η s.6, T f 5 MeV Η s.6, T f 4 MeV Η s.8, T f 5 MeV Η s.8, T f 4 MeV PT con served STAR c Η s.6, T f 5 MeV Η s.6, T f 4 MeV Η s.8, T f 5 MeV Η s.8, T f 4 MeV c

21 CME signals cos(φ φ 2 2φ c ) cosαβ2γ PT not conserved STAR Η s.6, T f 5 MeV Η s.6, T f 4 MeV Η s.8, T f 5 MeV Η s.8, T f 4 MeV c LCC charge splitting charge indep.?? - momentum cons. for 3-part. - momentum cons. - part of the effect - flow cannot explain cos 2 (φ ) sin 2 (φ ) - η η 2 early correlations cosαβ2γ 6 cosαβ2γ charge indep. PT not conserved STAR Η s.6, T f 5 MeV Η s.6, T f 4 MeV Η s.8, T f 5 MeV Η s.8, T f 4 MeV PT c con served STAR Η s.6, T f 5 MeV Η s.6, T f 4 MeV Η s.8, T f 5 MeV Η s.8, T f 4 MeV c

22 CME signals cos(2φ 2φ 2 4φ c ) 8 8 cosαβ2γ PT not conserved STAR Η s.6, T f 5 MeV Η s.6, T f 4 MeV Η s.8, T f 5 MeV Η s.8, T f 4 MeV cos2α2β4γ 6 PT not conserved 6 Η s.6, T f 5 MeV Η s.6, T f 4 MeV Η s.8, T f 5 MeV Η s.8, T f 4 MeV c c negligible charge splitting for the quadrangular observable

23 Summary Ev-by-ev hydro for ppb, CuAu, AuAu Flow coefficients : v, v, v 2, v 3... size matters, p fluctuations from size fluctuations v2, v 3 : hydro non-flow - non-flow increases v n - η dependence directed flow - v - (odd) early expansion, sensitive to pressure asymmetry - (even) fluctuations (AuAu); asymmetryfluct. (CuAu) - strong non-flow : momentum conservation LCC small effect on HBT ashbt CME signals - local charge conservation charge splitting - momentum conservation explains partly the magnitude Collectivity (FSI) in ppb@lhc