Transverse and Longitudinal Dynamics at RHIC Paweł Staszel, Marian Smoluchowski Institute of Physics Jagiellonian University SQM 2007 Levo č a, 24–

2 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 2 Outline Detector setup (by Michael). General (bulk) characteristics of nucleus-nucleus reactions. Nuclear modification at mid-rapidity Nuclear modification at forward rapidity Elliptic Flow Testing pQCD at large rapidities in p+p Summary.

3 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS Particle production and energy loss Energy density: Bjorken 1983 e BJ = 3/2  ( /  R 2  0 ) dN ch /d  assuming formation time t 0 =1fm/c: >5.0 GeV/fm 3 for 200 GeV >4.4 GeV/fm 3 for 130 GeV >3.7 GeV/fm 3 for 62.4 GeV Total  E=25.7  2.1TeV 72GeV per participant

4 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS Primary versus produced matter longitudinal net-kaon evolution similar as net-proton in |y|< 3 at RHIC 200 GeV) strong “association”: net-kaon / net-lambda /net-proton? BRAHMS NA49 AGS primary matter is concentrated around y  3 (  y  2.0) At 200GeV created matter is at picked at y=0

5 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS K - /K + and antihyperon/hyperon K - /K + = exp((2  s - 2  u,d )/T) pbar/p = exp(-6  u,d /T)  s =0  K - /K + = (pbar/p) 1/3 Fit shows that K - /K + = (pbar/p) 1/4   s = ¼  u,d How  s = ¼  u,d will work for hyperons? Hbar/H = (pbar/p) 3/4 for Lambdas = (pbar/p) 1/2 for Xis = (pbar/p) 1/4 for Omegas

6 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS Statistical model and  s vserus  u,d Fits with statistical model provide similar  u,d /  s ratio with weak dependency on y. This result is consistent with local net-strangeness conservation red line -  s = 0 black line – fit to BRAHMS data B. Bieron and W. Broniowski Phys. Rev. C75 (2007)

7 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 7 Other characteristics versus pbar/p pbar/p controls not only anti-particle to particle ratios but also K/π ratios and K slopes

8 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 8 q q hadrons leading particle leading particle Schematic view of jet production  Particles with high p t ’s (above ~2GeV/c) are primarily produced in hard scattering processes early in the collision Experimentally  depletion of the high p t region in hadron spectra  In A-A, partons traverse the medium  Probe of the dense and hot stage  p+p experiments  hard scattered partons fragment into jets of hadrons  If QGP  partons will lose a large part of their energy (induced gluon radiation)  suppression of jet production  Jet Quenching High p t suppression  jet quenching

9 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 9 Charged hadron invariant spectra Scaled N+N reference R AA = Yield(AA) N COLL (AA)  Yield(NN) Nuclear Modification Factor R AA <1  Suppression relative to scaled NN reference

10 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS Energy and system dependent nuclear modification factors at h~0 and 1 R AuAu (200 GeV) < R AuAu (63 GeV) < R CuCu (63 GeV) for charged hadrons p+p at 63 GeV is ISR Data (NPB100), RHIC-Run6 will provide better reference

11 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 11 Control measurement:  s NN =200 Excludes alternative interpretation in terms of Initial State Effects  Supports the Jet Quenching for central Au+Au collisions + back-to-back azimuthal correlation and jet structure by STAR and PHENIX

12 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 12 R AuAu (Y=0) ~ R AuAu (y~3) for central Au+Au at √s = 200 GeV R AuAu (Y=0) ~ R AuAu (y~3) for pions and protons: accidental? Rapidity dependent interplay of Medium effect + Hydro + baryon transport

13 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 13 Interpretation of suppression at forward y G. G. Barnafoldi et al. Eur. Phys. J. C49 (2007)333 pQCD + GLV fit to R AA → L/ λ assuming λ=1fm L~4/1.5fm at mid/forward rapidity

14 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 14 K/  ratios at  =3.1,

15 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 15 Differential flow at forward rapidity

16 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 16 Examine d+Au at all rapidities Cronin enhancement suppression I. Arsene et al., BRAHMS PRL 93 (2004)

17 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 17 R dAu centrality dependence for  %40-80%0-20% BRBRAHMS PRELIMINARY

18 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 18 p+p at 200GeV – examine pQCD at large y PRL 98 (2007)

19 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 19 Large y: pQCD versus data μ = μ F= μ R=pT. CTEQ6 parton distribution functions. KKP modified to obtain FFs for specific charges: D π+ u = (1+z)D π0 u ; D π- u = (1-z)D π0 u AKK reproduce STAR p+pbar at y~0, at large y gluons contribute in > 80% KKP under predict p+pbar by factor of 10.

20 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 20 Does baryon number transport extend to high p T ? y b =5.4 y b =-5.4 y pTpT

21 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 21 62GeV results

22 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS High energy density >> nuclear density -  y   TeV left for particle production (local) Chemical equilibration Onset of gluon saturation? Summary Strong transverse/elliptic flow in y<3 Limiting fragmentation Non-hadronic energy loss through the medium in |y|<3:

23 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 23 I.Arsene 7, I.G. Bearden 6, D. Beavis 1, S. Bekele 6, C. Besliu 9, B. Budick 5, H. Bøggild 6, C. Chasman 1, C. H. Christensen 6, P. Christiansen 6, R. Clarke 9, R.Debbe 1, J. J. Gaardhøje 6, K. Hagel 7, H. Ito 10, A. Jipa 9, J. I. Jordre 9, F. Jundt 2, E.B. Johnson 10, C.E.Jørgensen 6, R. Karabowicz 3, N. Katryńska 3, E. J. Kim 4, T.M.Larsen 11, J. H. Lee 1, Y. K. Lee 4, S.Lindal 11, G. Løvhøjden 2, Z. Majka 3, M. Murray 10, J. Natowitz 7, B.S.Nielsen 6, D. Ouerdane 6, R.Planeta 3, F. Rami 2, C. Ristea 6, O. Ristea 9, D. Röhrich 8, B. H. Samset 11, D. Sandberg 6, S. J. Sanders 10, R.A.Sheetz 1, P. Staszel 3, T.S. Tveter 11, F.Videbæk 1, R. Wada 7, H. Yang 6, Z. Yin 8, and I. S. Zgura 9 1 Brookhaven National Laboratory, USA, 2 IReS and Université Louis Pasteur, Strasbourg, France 3 Jagiellonian University, Cracow, Poland, 4 Johns Hopkins University, Baltimore, USA, 5 New York University, USA 6 Niels Bohr Institute, University of Copenhagen, Denmark 7 Texas A&M University, College Station. USA, 8 University of Bergen, Norway 9 University of Bucharest, Romania, 10 University of Kansas, Lawrence,USA 11 University of Oslo Norway 48 physicists from 11 institutions The BRAHMS Collaboration

24 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 24 BACKUP SLIDES

25 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 25 R dAu and R AA for anti-protons and BRAHMS PRELIMINARY suppression for  - but stronger for AuAu both R dA and R AA show enhancement for p-bar

26 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 26 Nuclear modification factors (R CP, R AuAu ) for p,K,p at y~3.1 Suppression for pions and kaons: R AuAu :  < K < p R AuAu ≠ Rcp (, for 40-60% ~ 70,56)

27 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 27 Flow at forward rapidity missing low-pt fraction is important for integrated v2 from FS (can explain about 20% change) dN 1 d  dp t 2  (1 + 2v 1 cos  + 2v 2 ( ,p t )cos2  ) dN d  dp t d  =

28 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 28 Constituent quark scaling

29 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS more on R AA rapidity dependence Similar level of suppresion for central collisions At forward rapidity R AA shows stronger rise towards peripheral coll. (surface -> volume emmission) Looking for scaling: dN/d  ? preliminary BE:  = 3/2  ( / S  0 ) dN ch /d  S is transwers area of overlaping region dirived from  and K spectra Is the energy density the only parameter that controls R AA ? New pp will allow for various comparisions at the same rapidities preliminary

30 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 30 At 200 GeV :  - /  + = 1.0, K - /K + = 0.95, pbar/p = 0.75 At 62 GeV :  - /  + = 1.0, K - /K + = 0.84, pbar/p = 0.45, At |y|<1 matter  antimatter Anti-particle to particle ratios pbar/p verus K - /K + : good statistical model description with  B =  B (y) with T~170MeV But this describes also energy depencency at y=0  only  B controls the state of matter STAR and NA47 measures pbar/p versus  - /  + Chemical freeze-out  BRAHMS PRELIMINARY It is not true for p+p BRAHMS PRELIMINARY

31 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 31 R AuAu 200 GeV BRAHMS, PRL 91, (2003) Cronin enhancement suppression at high p T significant medium effects suppression at high p T significant medium effects

32 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 32 Strong rapidity dependence CuCu data consistent with AuAu for the same N part pp pbar/  - scaling with N part  s NN =200GeV

33 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 33 Strong energy absorption model from a static 2D matter source. ( Insprired by A.Dainese (Eur.Phys.J C33,495) and A.Dainese, C.Loizides and G.Paic (hep-ph/ ) ) Parton spectrum using pp reference spectrum Parton energy loss  E ~ q.L**2 q adjusted to give observed R AA at  ~1. The change in dN/d  will result in slowly rising R AA. The modification of reference pp spectrum causes the R AA to be approximately constant as function of .

34 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 34 Summary  Large hadron multiplicities  Almost a factor of 2 higher than at SPS energy(  higher  )  Much higher than pp scaled results(  medium effects)  p/   show strong  dependency  for given energy depend only on N par  High-p T  suppression increases with energy for given centrality bin  weak dependency on rapidity of R AA which is consistent with surface jet emission  R CP can hide or enhance nuclear effects  At y=3.2 R AA shows larger suppression than R dA  Identified hadron spectra  Good description by statistical model  Large transverse flow consistent with high initial density  v2(pt) is seem to not depend on rapidity

35 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 35 FS PID using RICH Multiple settings

36 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 36 RdAu Update: Identified Particle RdAu at y~3 RdAu of identified particle consistent with published h- results dAu(  -)/dAu(  +): Valance quark isospin dominates in pp? BRAHMS Preliminary + blue - red

37 P. Staszel - Jagiellonian University, Kraków SQM 2007, Levoča 2007 BRAHMS 37 Limiting Fragmentation Shift the dN ch /d  distribution by the beam rapidity, and scale by  N part . Lines up with lower energy  limiting fragmentation Au+Au  s NN =200GeV (0-5% and 30-40%) Au+Au  s NN =130GeV (0-5%) Pb+Pb  s NN =17GeV (9.4%)