J/ đ azimuthal anisotropy in Au+Au collisions at 200 GeV Zhao Feng 1,2 (For the STAR collaboration) 1.Brookhaven National Lab 2.Central China Normal University 2015/5/19 Zhao Feng @ Charm Workshop 2015 1
Flow ď The anisotropy in the initial spatial space will be transferred into the anisotropy in the momentum space, which can be described by Fourier series: â đš đ 3 đ đ 2 đ đ 3 đ = 1 đ đ đđ đ đđ§ {1 + 2đ¤ đ cos[đ đ â Ψ đđ ]} 2đ đ=1 ⢠đ¤ đ is the đ đ˘â harmonic coefficient, which is used for a quantitative characterization of the event anisotropy. ⢠đ¤ 1 is referred to directed flow while đ¤ 2 is called elliptic flow. ⢠Ψ đđ is the reaction plane angle, which is defined by the vector of the impact parameter and the beam direction, can not be directly measured. But it can be estimated from the particle â s azimuthal distribution. đ y Ψ = 0.5 â đđ đđ˘đđ đ đŚ đ đŚ = cos 2 â đ ; đ đ§ = sin 2 â đ ; 2015/5/19 Zhao Feng @ Charm Workshop 2015 2
Motivation : charm quark production ď Why study charm quark production in relativistic heavy-ion collisions ? ⢠Large mass : More difficult to thermalize than light quarks. If charm quarks have sizable collective motion, light partons must be well thermalized. ⢠Produced in the early stage : Useful for understanding the dynamics responsible for fast thermalization at RHIC. ⢠Less influenced by late evolution : Carry relatively clean information from early stage. 2015/5/19 Zhao Feng @ Charm Workshop 2015 3
Motivation : J/ đ elliptic flow Phys. Lett. B 595, 202 (2004) Phys. Rev. Lett. 97, 308 232301 Direct pQCD production (2006). + leakage effect give limited v 2 coalescence of thermalized charm quarks gives large v 2 ⢠Different magnitudes and p T dependence from different production mechanisms. External magnetic ⢠Can be used to infer the relative field gives finite v 2 contribution from different sources. ⢠Unique probe for testing production mechanisms and useful for constraining arXiv : 1502.04407 models. 2015/5/19 Zhao Feng @ Charm Workshop 2015 4
STAR published results ď Datasets used ⢠Run10 Au + Au 200 GeV PRL 111 , 052301 (2013) ⢠Min.Bias 360M ⢠Central 270M ⢠High E T trigger (BEMC) 170M ď J/ Ď v 2 is consistent with zero when p T > 2 GeV/c in Au+Au 200GeV collisions. ď Large statistical uncertainty ď Since the publication, more data have been taken in year 2011(statistics comparable to 2010) and 2014 (~10 times statistics of 2010). ď With these datasets we can reduce the statistical uncertainty and make a stronger conclusion. 2015/5/19 Zhao Feng @ Charm Workshop 2015 5
STAR detector Barrel Electromagnetic Calorimeter Time of Flight The Solenoidal Tracker at RHIC (STAR) is Time Projection (BEMC) (TOF) Chamber(TPC) one of the two large experiments operating at RHIC. ⢠Large acceptance(2 đ azimuthal angle coverage). ⢠Excellent particle identification capabilities. ⢠Ideal for measuring flow and event-by- event correlations/fluctuations. Ď Ď Îˇ ng â m â 2015/5/19 Zhao Feng @ Charm Workshop 2015 6 Ď Ď Îˇ
Electron PID Good separation between electrons and pions 2015/5/19 Zhao Feng @ Charm Workshop 2015 7
Electron PID ⢠Event level cut : ⢠Track quality cut : Centrality : 0-80%; nHitsFit >20; nHitsDedx >15; |VertexZ|< 30 cm; ratio >0.52 ; dca <1 cm; p >1.2 GeV/c; The satisfaction of any of the three conditions below Electron- momentum pair TPC+BEMC TPC+TOF TPC+BEMC+TOF 0.3<pc/E<1.5 daughter1 p>1.4 GeV/c 0.3<pc/E<1.5 |1-1/ β|<0.03 -0.6< đđ {đđđđđ˘đ đđ} <3 -1.0< đđ {đđđđđ˘đ đđ} <3 p>1.5 GeV/c -0.3< đđ {đđđđđ˘đ đđ} <3 |1-1/ β|<0.03 daughter2 p>1.2 GeV/c BEMC energy>0.5 1 lnđđš/đđŚ đđđđĄđŁđ đđ đđ = đ {đđš đđš/đđŚ đ˘âđđđ đđđđ 2015/5/19 Zhao Feng @ Charm Workshop 2015 đđŚ } 8
Flattening of the event plane distribution To correct for the TPC efficiency loss, a recentering factor needs to be generated. đ đ đ đ đ=1 đ đ§ đ=1 đ đŚ 1. đ đŚ = , đ đ§ = .The calculation is performed separately for different run day, đ đ centrality, pseudorapidity and vertex position along the beam direction. Ⲡ= đ đ§ â đ đ§ 2. Define đ đ§ Ⲡ= đ đŚ â đ đŚ đ đŚ 3. Obtain event plane angle: Ⲡđ đ§ Ψ = 0.5 â đđ đđ˘đđ Ⲡđ đŚ 4. Further flatten the event plane distribution by shift method. (Phys. Rev. C 56, 3254 (1997)). 2015/5/19 Zhao Feng @ Charm Workshop 2015 9
Event plane distributions STAR preliminary recenter shift STAR preliminary STAR preliminary raw event plane recentered event plane shifted event plane Red points are Hadron v 2 The charged hadron v 2 we obtained with from STAR the flattened event plane is consistent publication with previous STAR publication. (Phys. Rev. Lett. 93, 252301 STAR preliminary (2004)) using 20-60% minbias events 2015/5/19 Zhao Feng @ Charm Workshop 2015 10
J/ đ yield extraction ď The unlike-sign m inv distribution is fitted with a Gaussian on top of a polynomial background : 2 â đŚâ 6 4 2 5 2 ) 1 + 2 đŚ + 3 đŚ 2 + ( đ§ = 2đ đ 5 STAR preliminary Background :Polynomial p T 0-2GeV Signal : Gaussian Solid dots : unlike-sign electron pairs Blue line : same-sign electron pairs 2015/5/19 Zhao Feng @ Charm Workshop 2015 11
J/ đ yield in different ( đ â Ψ ) bins p T 0-2GeV p T 0-2GeV p T 0-2GeV Centrality 0-10% Centrality 0-10% Centrality 0-10% STAR preliminary STAR preliminary STAR preliminary đ 10 , 2đ đ 2đ 10 , 3đ 0, 10 10 10 p T 0-2GeV p T 0-2GeV Centrality 0-10% Centrality 0-10% STAR preliminary STAR preliminary 3đ 4đ 4đ 5đ 10 , 10 , 2015/5/19 Zhao Feng @ Charm Workshop 2015 12 10 10
V 2 Fitting Process ď With the yield as a function of đ â Ψ obtained, the observed v 2 can be extracted by fitting with the following formula: đđđĄđđ đ¤đđ â đđđĄ2 đ â Ψ ] y = đ[1 + 2đ¤ 2 ď The final v 2 need to be scaled by mean inverse event plane resolution. đđđĄ,đ /đ đ¤ đ = đ¤ đ The event plane resolution is derived by studying the correlation between two sub-events.(Poskanzer and Voloshin, STAR preliminary Phys.Rev.C58:1671-1678,1998) 2015/5/19 Zhao Feng @ Charm Workshop 2015 13
Azimuthal distribution 0-10% 10-40% 40-80% 0-2 GeV/c STAR preliminary STAR preliminary STAR preliminary 2-5 GeV/c STAR preliminary STAR preliminary STAR preliminary 5-10 GeV/c STAR preliminary STAR preliminary STAR preliminary 2015/5/19 Zhao Feng @ Charm Workshop 2015 14
Azimuthal distribution, compared to 2010 PRL 111 , 052301 (2013) STAR preliminary Centrality 10-40%, p T 0-2GeV/c 2015/5/19 Zhao Feng @ Charm Workshop 2015 15
Conclusion ď From our published result, the measured J/ đ elliptic flow is consistent with zero within errors for transverse momentum between 2 and 10 GeV/c. Our measurement suggests that J/ đ with relatively large transverse momenta are not dominantly produced by coalescence from thermalized charm quarks, when comparing to model calculations. ď We are analyzing data from year 2011, the new analysis shows that the azimuthal distribution of J/ đ is consistent with our previous result. The extraction of final v 2 and the investigation of systematic uncertainties is ongoing. 2015/5/19 Zhao Feng @ Charm Workshop 2015 16
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