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Mach Cone Studies in (3+1)d Ideal Hydrodynamics

Mach Cone Studies in (3+1)d Ideal Hydrodynamics. Barbara Betz, Philip Rau, Dirk Rischke, Horst Stöcker, Giorgio Torrieri Institut für Theoretische Physik Johann Wolfgang Goethe-Universität Frankfurt am Main. LHC Workshop CERN, 31. 5. 2007. Contents. Introduction

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Mach Cone Studies in (3+1)d Ideal Hydrodynamics

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  1. Mach Cone Studies in (3+1)d Ideal Hydrodynamics Barbara Betz, Philip Rau, Dirk Rischke, Horst Stöcker, Giorgio Torrieri Institut für Theoretische Physik Johann Wolfgang Goethe-Universität Frankfurt am Main LHC Workshop CERN, 31. 5. 2007

  2. Contents • Introduction • Measured Two- and Three-Particle Correlations • (3+1)d hydrodynamical approach • Jet Evolution • Two- and Three-Particle Correlations • Different Energy and Momentum Deposition • 15 GeV jet • 30 GeV jet • 1500 particles total multiplicity • Conclusion

  3. Two-Particle Correlation • Sideward peaks • 4 < pTtrig < 6 GeV/c • 0.15 < pTassoc < 4 GeV/c F. Wang [STAR Collaboration], Nucl. Phys. A 774, 129 (2006) • Peaks reflect interaction of jet with medium

  4. Three-Particle Correlation Au+Au central 0-12% Df1 Δ2 Df2 Δ1 J. Ulery [STAR Collaboration], arXiv:0704.0224v1

  5. Hydrodynamical Approach

  6. (3+1)d Ideal Hydrodynamik • Assume: Near-side jet not influenced by medium • Bjorken cylinder • initial radius r = 3.5 fm • t0 = 1 fm/c • Bag Model EoS with a 1st order phase transition

  7. Energy Deposition We compare: • 15 GeV jet • 30 GeV jet • 1500 particles total multiplicity Jet deposits its energy and momentum • within t = 1 fm/c • in equal time intervals

  8. Energy and Momentum Depositionwithin t = 1 fm/cof a 15 GeV jet http://waterocket.explorer.free.fr/images/bullet1.jpg

  9. Jet Evolution Creation of a bow shock t = 6.4 fm/c

  10. Momentum Distribution t = 6.4 fm/c

  11. Freeze-out • Stopped hydrodynamical evolution after t=6.4 fm/c • Isochronous freeze-out • Cooper-Frye formula • Considered a gas of p and r • Using the Share program • for a 503 grid • and 40 events

  12. Particle Correlations • Clear Jet Signal • No Mach Cone

  13. Energy and Momentum Depositionin equal time intervals of a 15 GeV jet A. Filippone, www.aerodyn.org/Acoustics/Sound/sound.html

  14. Jet Evolution Mach Cone like signal t = 6.4 fm/c

  15. Momentum Distribution t = 6.4 fm/c

  16. Particle Correlations • Mach Cone like signal

  17. Single and MultipleEnergy and Momentum Depositionof a 30 GeV jet

  18. Jet Evolution multiple single energy and momentum deposition t = 6.4 fm/c bow shock

  19. Momentum Distribution single multiple energy and momentum deposition t = 6.4 fm/c

  20. Two-Particle Correlation multiple single energy and momentum deposition • Jet Signal

  21. Three-Particle Correlation multiple single energy and momentum deposition

  22. Conclusion • Two- and Three-Particle Correlation • Sideward peaks appear and reflect • interaction of jet with medium • Hydrodynamical approach and Freeze-out • Bag Model EoS • Bjorken-like expansion • Jet visible independent of nature of energy deposition • Evolution of a Mach Cone depends on • Energy and Momentum deposition • Jet Energy

  23. Backup

  24. Jet Quenching • Suppression of the away-side jets • in Au+Au collisions • 4 < pTtrig < 6 GeV/c • pTassoc > 2 GeV/c • Compared to p+p collisions J. Adams [STAR Collaboration], Phys. Rev. Lett. 91 072304 (2003) Jet Quenching

  25. Freeze-out Results single deposition Ejet = 15 GeV • Jet Signal • Particles with px enhanced

  26. High Energy multiple deposition Ejet = 30 GeV • Jet Signal

  27. Origin of Sideward Peaks

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