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Jet Evolution and Particle Correlations in (3+1)d Ideal Hydrodynamics at LHC

This study investigates two- and three-particle correlations in the context of (3+1)d ideal hydrodynamics, focusing on jet evolution in heavy-ion collisions. Using data from the LHC Workshop at CERN, we analyze the energy and momentum deposition from jets of varying energies (15 GeV and 30 GeV). Our findings emphasize the appearance of sideward peaks in particle correlations, indicative of the interaction between jets and the medium. The dynamics of jet energy deposition are modeled through hydrodynamical approaches, providing insight into phenomena such as Mach cones and jet quenching.

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Jet Evolution and Particle Correlations in (3+1)d Ideal Hydrodynamics at LHC

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  1. Barbara Betz, Philip Rau, Dirk Rischke, Horst Stöcker, Giorgio Torrieri Institut für Theoretische Physik Johann Wolfgang Goethe-Universität Frankfurt am Main Mach Cone Studies in (3+1)d Ideal Hydrodynamics 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%  Δ2  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 • 0 = 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  and  • 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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