Vienna11 Aug 051 Rapidity equilibration in d + Au and Au + Au systems Georg Wolschin Heidelberg University Theoretical Physics Georg Wolschin Heidelberg.

Slides:

Advertisements

Similar presentations

Mass, Quark-number, Energy Dependence of v 2 and v 4 in Relativistic Nucleus- Nucleus Collisions Yan Lu University of Science and Technology of China Many.

Advertisements

Elliptic flow of thermal photons in Au+Au collisions at 200GeV QNP2009 Beijing, Sep , 2009 F.M. Liu Central China Normal University, China T. Hirano.

Physics Results of the NA49 exp. on Nucleus – Nucleus Collisions at SPS Energies P. Christakoglou, A. Petridis, M. Vassiliou Athens University HEP2006,

Diffusion and local deconfinement in relativistic systems Georg Wolschin Universität Heidelberg, Theor. Physics Georg Wolschin.

Identified particle transverse momentum distributions in 200 GeV Au+Au collisions at RHIC 刘海东中国科技大学.

In relativistic heavy ion collisions a high energy density matter Quark-Gluon Plasma (QGP) may be formed. Various signals have been proposed which probe.

Phase transition of hadronic matter in a non-equilibrium approach Graduate Days, Frankfurt, , Hannah Petersen, Universität Frankfurt.

First Results From a Hydro + Boltzmann Hybrid Approach DPG-Tagung, Darmstadt, , Hannah Petersen, Universität Frankfurt.

Julia VelkovskaMoriond QCD, March 27, 2015 Geometry and Collective Behavior in Small Systems from PHENIX Julia Velkovska for the PHENIX Collaboration Moriond.

Particle Production in p + p Reactions at GeV K. Hagel Cyclotron Institute Texas A & M University for the BRAHMS Collaboration.

Relativistic Heavy-Ion Collisions: Recent Results from RHIC David Hardtke LBNL.

Mid-rapidity charged hadron spectra in the Au+Au collisions at sqrt(s NN ) = 19.6 GeV at STAR University of California, Davis for the STAR Collaboration.

Quark Matter 2008, Jaipur. Outline February 9, 2008Quark Matter Results –dN/dy –Stopping Results –dN/dy –Stopping Summary and discussion Experiment.

1 Baryonic Resonance Why resonances and why  * ? How do we search for them ? What did we learn so far? What else can we do in the.

Terence Tarnowsky Long-Range Multiplicity Correlations in Au+Au at Terence J Tarnowsky Purdue University for the STAR Collaboration 22nd Winter Workshop.

STAR STRANGENESS! K0sK0s    K+K+ (Preliminary)         

STAR Looking Through the “Veil of Hadronization”: Pion Entropy & PSD at RHIC John G. Cramer Department of Physics University of Washington, Seattle, WA,

5-12 April 2008 Winter Workshop on Nuclear Dynamics STAR Particle production at RHIC Aneta Iordanova for the STAR collaboration.

Helen Caines Yale University SQM – L.A.– March 2006 Using strange hadron yields as probes of dense matter. Outline Can we use thermal models to describe.

Identified and Inclusive Charged Hadron Spectra from PHENIX Carla M Vale Iowa State University for the PHENIX Collaboration WWND, March

Mid-Rapidity Hadron Production Studied with the PHENIX detector at RHIC Joakim Nystrand Universitetet i Bergen for the PHENIX Collaboration.

Probability distribution of conserved charges and the QCD phase transition QCD phase boundary, its O(4) „scaling” & relation to freezeout in HIC Moments.

Tatsuya Chujo (BNL) for the PHENIX Collaboration

Particle Spectra at AGS, SPS and RHIC Dieter Röhrich Fysisk institutt, Universitetet i Bergen Similarities and differences Rapidity distributions –net.

Masashi Kaneta, LBNL Masashi Kaneta for the STAR collaboration Lawrence Berkeley National Lab. First results from STAR experiment at RHIC - Soft hadron.

Measurements of the Charge Balance Function at RHIC from √s NN = 7.7 to 200 GeV Gary D. Westfall, for the STAR Collaboration (Michigan State University)

High p T  0 Production in p+p, Au+Au, and d+Au Stefan Bathe UC Riverside for the Collaboration Topics in Heavy Ion Collisions McGill University, Montreal,

Identified Particle Ratios at large p T in Au+Au collisions at  s NN = 200 GeV Matthew A. C. Lamont for the STAR Collaboration - Talk Outline - Physics.

Steffen A. RHIC #1 Steffen A. Bass Duke University & RIKEN-BNL Research Center The Protons Puzzle at RHIC - the demise of pQCD? Recombination.

Collective Flow in Heavy-Ion Collisions Kirill Filimonov (LBNL)

Spectra Physics at RHIC : Highlights from 200 GeV data Manuel Calderón de la Barca Sánchez ISMD ‘02, Alushta, Ukraine Sep 9, 2002.

Mark D. Baker What have we learned from RHIC? Mark D. Baker Chemistry Department Thanks to: W. Busza, Axel Drees, J. Katzy, B. Lugo, P. Steinberg, N. Xu,

Study of hadron properties in cold nuclear matter with HADES Pavel Tlustý, Nuclear Physics Institute, Řež, Czech Republic for the HADES Collaboration ,

Matter System Size and Energy Dependence of Strangeness Production Sevil Salur Yale University for the STAR Collaboration.

Higher moments of net-charge multiplicity distributions at RHIC energies in STAR Nihar R. Sahoo, VECC, India (for the STAR collaboration) 1 Nihar R. Sahoo,

Self-similarity of hadron production in pp and AA collisions at high energies D.A. Artemenkov, G.I. Lykasov, A.I. Malakhov Joint Institute for Nuclear.

EXPERIMENTAL EVIDENCE FOR HADRONIC DECONFINEMENT In p-p Collisions at 1.8 TeV * L. Gutay - 1 * Phys. Lett. B528(2002)43-48 (FNAL, E-735 Collaboration Purdue,

Introduction The statistical model approach is established by analysis of particle ratios of the high energy heavy ion collisions in GSI-SIS to CERN-SPS.

1 Jeffery T. Mitchell – Quark Matter /17/12 The RHIC Beam Energy Scan Program: Results from the PHENIX Experiment Jeffery T. Mitchell Brookhaven.

Light nuclei production in heavy-ion collisions at RHIC Md. Rihan Haque, for the STAR Collaboration Abstract Light nuclei (anti-nuclei) can be produced.

Hadron Collider Physics 2012, 12/Nov/2012, KyotoShinIchi Esumi, Univ. of Tsukuba1 Heavy Ion results from RHIC-BNL ShinIchi Esumi Univ. of Tsukuba Contents.

Masashi Kaneta, First joint Meeting of the Nuclear Physics Divisions of APS and JPS 1 / Masashi Kaneta LBNL

Nucleon-Nucleon collisions. Nucleon-nucleon interaction at low energy Interaction between two nucleons: basic for all of nuclear physics Traditional goal.

11/18/2003Tetsufumi Hirano (RBRC)1 Rapidity Dependence of Elliptic Flow from Hydrodynamics Tetsufumi Hirano RIKEN BNL Research Center (Collaboration with.

PHOTONS AND EVOLUTION OF A CHEMICALLY EQUILIBRATING AND EXPANDING QGP AT FINITE BARYON DENSITY Shanghai Institute of Applied Physics Jiali Long, Zejun.

Robert Pak (BNL) 2012 RHIC & AGS Annual Users' Meeting 0 Energy Ro Robert Pak for PHENIX Collaboration.

9 th June 2008 Seminar at UC Riverside Probing the QCD Phase Diagram Aneta Iordanova.

Results from an Integrated Boltzmann+Hydrodynamics Approach WPCF 2008, Krakau, Jan Steinheimer-Froschauer, Universität Frankfurt.

Two freeze-out model for the hadrons produced in the Relativistic Heavy-Ion Collisions. New Frontiers in QCD 28 Oct, 2011, Yonsei Univ., Seoul, Korea Suk.

Structure and Fine Structure seen in e + e -, pp, pA and AA Multiparticle Production Wit Busza MIT BNL workshop, May 2004.

Hyperon Polarization in Heavy ion Collisions C. C. Barros Jr. Universidade Federal de Santa Catarina Brasil Strangeness in Quark Matter 2013 University.

Itzhak Tserruya Initial Conditions at RHIC: an Experimental Perspective RHIC-INT Workshop LBNL, May31 – June 2, 2001 Itzhak Tserruya Weizmann.

24 Nov 2006 Kentaro MIKI University of Tsukuba “electron / photon flow” Elliptic flow measurement of direct photon in √s NN =200GeV Au+Au collisions at.

Systematic Study of Elliptic Flow at RHIC Maya SHIMOMURA University of Tsukuba ATHIC 2008 University of Tsukuba, Japan October 13-15, 2008.

BNL/ Tatsuya CHUJO JPS RHIC symposium, Chuo Univ., Tokyo Hadron Production at RHIC-PHENIX Tatsuya Chujo (BNL) for the PHENIX Collaboration.

QM08, Jaipur, 9 th February, 2008 Raghunath Sahoo Saturation of E T /N ch and Freeze-out Criteria in Heavy Ion Collisions Raghunath Sahoo Institute of.

Japanese Physics Society meeting, Hokkaido Univ. 23/Sep/2007, JPS meeting, Sapporo, JapanShinIchi Esumi, Inst. of Physics, Univ. of Tsukuba1 Collective.

Intermediate pT results in STAR Camelia Mironov Kent State University 2004 RHIC & AGS Annual Users' Meeting Workshop on Strangeness and Exotica at RHIC.

Helen Caines Yale University Strasbourg - May 2006 Strangeness and entropy.

PHENIX Results from the RHIC Beam Energy Scan Brett Fadem for the PHENIX Collaboration Winter Workshop on Nuclear Dynamics 2016.

Hadron Spectra and Yields Experimental Overview Julia Velkovska INT/RHIC Winter Workshop, Dec 13-15, 2002.

Energy Dependence of Soft Hadron Production Christoph Blume2nd International Workshop on the Critical Point and Onset of Deconfinement Bergen Mar. 30 -

Kansas OCT 2004 Ramiro Debbe for the BRAHMS collaboration Physics Department BRAHMS Forward Physics Program Forward Physics at RHIC and LHC University.

Duke University 野中千穂 Hadron production in heavy ion collision: Fragmentation and recombination in Collaboration with R. J. Fries (Duke), B. Muller (Duke),

ENERGY AND SYSTEM SIZE DEPENDENCE OF CHEMICAL FREEZE-OUT

Strangeness Production in Heavy-Ion Collisions at STAR

Introduction Results Methods Conclusions

Energy dependence of stopping

Heavy Ion Physics at NICA Simulations G. Musulmanbekov, V

Analysis of Low Energy Pion Spectra

Presentation transcript:

Vienna11 Aug 051 Rapidity equilibration in d + Au and Au + Au systems Georg Wolschin Heidelberg University Theoretical Physics Georg Wolschin Heidelberg University Theoretical Physics

Vienna11 Aug 052 Topics  Relativistic Diffusion Model for R(y;t) with three sources for d +Au, Au + Au at RHIC energies  Net protons dn/dy and produced charged particles dn/d  at 200 A GeV  Importance of the equilibrated midrapidity source in d+Au compared to Au+Au  Conclusion

Vienna11 Aug 053 Relativistic Diffusion Model GW, EPJ A5, 85(1999), 2 sources; Phys. Lett. B 569, 67 (2003), 3 sources Nonequilibrium-statistical description of the distribution function R(y,t) in rapidity space, y = 0.5 · ln((E + p)/(E − p)). k=1: target-like k=2: proj.-like k=3: central distr.

Vienna11 Aug 054 Relativistic Diffusion Model for R(y,t) Nonequilibrium- statistical approach to relativistic many- body collisions Macroscopic distribution function R(y,t) for the rapidity y -The drift function (y-y eq )/  y determines the shift of the mean rapidity towards the equilibrium value - The diffusion coefficient D accounts for the broadening of the distributions due to interactions and particle creations. It is related to  y via a dissipation-fluct. Theorem, but enhanced due to longitudinal expansion.

Vienna11 Aug 055 Dissipation-fluctuation relation in y- space The rapidity diffusion coefficient D y is calculated from  y and the equilibrium temperature T in the weak-coupling limit as Note that D ~ T|  y as in the Einstein relation of Brownian motion. The diffusion coefficient as obtained from this statistical consideration is further enhanced (D y eff ) due to collective expansion. GW, Eur. Phys. Lett. 47, 30 (1999)

Vienna11 Aug 056 Linear RDM in y- space The rapidity relaxation time  y determines the peak positions The rapidity diffusion coefficient D y determines the variances. Note that D ~ T|  y as in the Einstein relation of Brownian motion In a moments expansion and for  function initial conditions, the mean values become and the variances are =y eq [1-exp(-t/  y )]

Vienna11 Aug 057 Linear RDM in y-space The equilibrium value y eq that appears in the drift function J(y) = -(y eq -y)/  y (and in the mean value of the rapidity) is obtained from energy- and momentum conservation in the subsystem of participants as with the beam rapidity y b, and transverse masses y eq = 0 for symmetric systems but ≠ 0 for asymmetric systems m k = participant masses (k=1,2)

Vienna11 Aug 058 Linear RDM in y-space Analytical RDM-solutions with  -function initial conditions at the beam rapidities ±y b in the two-sources model are obtained as = In the 3-sources model, a third (equilibrium) term appears. Is there evidence for a 3-sources-approach? Yes

Vienna11 Aug 059 RDM: time evolution of the rapidity density for net protons Time evolution for 200 A GeV/c S+Au, linear model;  function initial conditions Selected weighted solutions of the transport eq. at various values of t  y The stationary solution (Gaussian) is approached for t/  Y »1

Vienna11 Aug 0510 Central Collisions at AGS, SPS  Rapidity density distributions evolve from bell-shape to double-hump as the energy increases from AGS (4.9 GeV) to SPS (17.3 GeV)  Diffusion-model solutions are shown for SPS energies:  The data clearly show the drift

Vienna11 Aug 0511 Central RHIC vs. SPS BRAHMS data at  S NN =200 GeV for net protons Central 10% of the cross section Relativistic Diffusion Model for the nonequilibrium contributions Discontinuous transition to local statistical equilibrium at midrapidity may indicate deconfinement. GW, PLB 569, 67 (2003) and Phys. Rev. C 69 (2004)

Vienna11 Aug sources RDM for Au+Au  Incoherent superposition of nonequilibrium and equilibrium solutions of the transport equation yields a very satisfactory representation of the data  Disontinuous evolution of the distribution functions with time towards the local thermal equilibrium distribution N eq ≈ 56 baryons (22 protons) N 1,2 ≈ 169 baryons (68 protons) GW, Phys. Lett. B 569, 67 (2003) ; Phys. Rev. C 69, (2004) =

Vienna11 Aug 0513 Au+Au at 62.4/200 A GeV RDM-prediction for 62.4 A GeV (the lower RHIC energy measured by BRAHMS; data analysis is underway) Dashed areas are thermal equilibrium results with longitudinal expansion GW, hep-ph/ , submitted to Phys. Lett. B

Vienna11 Aug 0514 Produced particles in the 3 sources RDM: Charged-hadron (pseudo-) rapidity distributions PHOBOS data at  S NN =130, 200 GeV for charged hadronsCentral collisions (0-6%) Total number of particles in the 3 sources: 130 GeV 200 GeV Most of the produced charged hadrons at RHIC are in the equilibrated midrapidity region (78%) M. Biyajima et al., Prog. Theor. Phys.Suppl. 153, 344 (2004)

Vienna11 Aug 0515 d+Au 200 GeV charged hadrons: PHOBOS data PHOBOS data in centrality bins Use 3-sources-RDM with initial particle creation at beam- and equilibrium (y eq )values of the rapidity in the analysis B.B. Back et al., PHOBOS collab. 、 Phys. Rev. C, in press (nucl-ex/ )  = -ln(tan(  /2))

Vienna11 Aug 0516 d+Au 200 GeV charged hadrons: RDM-analysis 1: 0-20 % 2: 20-40% 3: % 4: % 5: % bmax=8.49 fm Min.bias B.B.Back et al.

Vienna11 Aug 0517 d+Au 200 GeV charged hadrons: RDM-analysis In the RDM-analysis, determine in particular the importance of the Moving equilibrium (gluonic) source Data: B.B. Back et al., PHOBOS coll. 、 Phys. Rev. C Data are for   = -ln(tan(  /2)) ≈ y GW, M.Biyajima,T.Mizoguchi, N.Suzuki, hep-ph/

Vienna11 Aug 0518 d+Au 200 GeV charged hadrons: RDM-analysis Mean value and variance of the 3 sources for particle production: Dashed: d- and Au-like Solid: equilibrated midrapidity source Top: total no. of particles

Vienna11 Aug 0519 Convert to pseudorapidity space The conversion from rapidity (y-) to pseudorapidity space requires the knowledge of the Jacobian The mean transverse momentum is taken to be 0.4 GeV/c. The average mass is approximated by the pion mass (0.14 GeV) in the central region. In the Au-like region, it is ≈ 0.17 GeV. [ ≈ mp · Z1/N1ch +m · (N1ch − Z1)/N1ch ≈ 0.17GeV ]

Vienna11 Aug 0520 d+Au 200 GeV RDM-analysis Data: PHOBOS coll. Phys. Rev. C, in press GW, MB,TM,NS, hep-ph/

Vienna11 Aug 0521 d+Au indiv. Distributions in the RDM Data: PHOBOS coll. Phys. Rev. C, in press GW, MB,TM,NS

Vienna11 Aug 0522 d+Au 200 GeV RDM-analysis Full lines: RDM-results with  2-minimization Data: PHOBOS coll. Phys. Rev. C, in press GW, MB,TM, NS

Vienna11 Aug 0523 d+Au 200 GeV time development The mean values of all three  -distributions approach  eq for large times The actual collision stops before full equilibrium is reached Num. Calc. By T. Mizoguchi

Vienna11 Aug 0524 Compare d+Au/Au+Au 200 GeV central source

Vienna11 Aug 0525 Heavy Relativistic Systems Parameters for heavy relativistic systems at AGS, SPS and RHIC energies. The beam rapidity is expressed in the c.m. system. The ratio  int /  y determines how fast the net-baryon system equilibrates in rapidity space. The effective rapidity width coefficient is  y eff, the longitudinal expansion velocity v coll. *At 62.4 GeV,  y eff will need adjustment to forthcoming data.

Vienna11 Aug 0526 Conclusion  The Relativistic Diffusion Model with 3 sources describes rapidity distributions for net protons in central Au + Au at RHIC.  The centrality dependence of pseudorapidity distributions for produced charged hadrons in d+Au and Au+Au collisions at RHIC energies (200A GeV) is also accurately described in the RDM.  For produced particles, the equilibrated central source carries 78% of the charged-particle content in Au+Au central collisions, but only 17% in d+Au collisions.  This thermalized central source may be interpreted as indirect evidence for a locally equilibrated quark-gluon plasma.