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Barbara Betz, Miklos Gyulassy, Dirk Rischke, Horst Stöcker and Giorgio Torrieri

Jet Propagation and Mach Cones In (3+1)d Ideal Hydrodynamics. Barbara Betz, Miklos Gyulassy, Dirk Rischke, Horst Stöcker and Giorgio Torrieri. Quark Matter 2008, Jaipur, India. Outline. Motivation: Jets in heavy-ion collisions Jets in (3+1)d ideal hydrodynamics

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Barbara Betz, Miklos Gyulassy, Dirk Rischke, Horst Stöcker and Giorgio Torrieri

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  1. Jet Propagation and Mach ConesIn (3+1)d Ideal Hydrodynamics Barbara Betz, Miklos Gyulassy, Dirk Rischke, Horst Stöcker and Giorgio Torrieri Quark Matter 2008, Jaipur, India

  2. Outline • Motivation: Jets in heavy-ion collisions • Jets in (3+1)d ideal hydrodynamics • Different energy-momentum deposition models • Particle Correlation Pattern • Conclusions & Outlook Barbara Betz Quark Matter 2008, Jaipur, India

  3. Jet Quenching & Medium Response 4 < pTtrigger < 6 GeV/c 0.15 < pTassoc < 4 GeV/c STAR, Nucl. Phys. A774, 129 (2006) • Jet suppression: signal for QGP 4 < pTtrigger < 6 GeV/c pTassoc > 2 GeV/c • Re-appearance of the away-side for low and intermediate pTassoc STAR PRL 91 (2003) 072304 Au+Au / p+p = 200 GeV PHENIX arXiv:0705.3238 [nucl-ex] • Peaks reflect interaction of jet with medium Barbara Betz Quark Matter 2008, Jaipur, India

  4. Jets and Deposition Scenarios • Solve numerically (3+1)d ideal hydrodynamics: • Source term given by jet energy loss • Different models describing jet energy loss R. Baier et al., Nucl. Phys. B438, 291 (1997) M. Gyulassy et al., Nucl. Phys. B571, 197 (2000) J. Casalderrey-Solana et al., Nucl. Phys. A 774, 577 (2006), arXiv: 0705.1352 [hep-ph] H. Liu et al., PRL 97, 182301 (2006) A. Majumder et al., PRL 99, 192301 (2007) T. Renk et al., Phys. Rev. C75, 054910 (2007) G.-Y. Qin et al., Phys. Rev. C76, 064907 (2007) Barbara Betz Quark Matter 2008, Jaipur, India

  5. Deposition Scenarios in Hydro We use: • Pure energy deposition • Pure momentum deposition • Energy and momentum deposition Barbara Betz Quark Matter 2008, Jaipur, India

  6. Jets in (3+1)d Ideal Hydro • Neglect near-side jet • Study jet evolution in a homogeneous, non– expanding background • Bag model EoS for QGP • Energy-momentum deposition for • Isochronous freeze-out at Barbara Betz Quark Matter 2008, Jaipur, India

  7. Pure Energy Deposition I Need high–pT cuts Otherwise thermal smearing washes out signal due to high background temperature Barbara Betz Quark Matter 2008, Jaipur, India

  8. Pure Energy Deposition II Higher value for signal seen already for smaller pT Barbara Betz Quark Matter 2008, Jaipur, India

  9. Pure Energy Deposition III Cone–like structure for small–pT cuts Barbara Betz Quark Matter 2008, Jaipur, India

  10. Pure Energy Deposition IV • Pure Energy Deposition • Mach cone pattern • More pronounced: • higher or pT • consistent with J. C.-S. et al. J. Casalderrey-Solana et al., Nucl. Phys. A 774, 577 (2006) Barbara Betz Quark Matter 2008, Jaipur, India

  11. Pure Momentum Deposition Diffusion wake causes • Disappearance of Mach cone–like pattern • peak in forward direction Barbara Betz Quark Matter 2008, Jaipur, India

  12. Energy & Momentum Deposition I Barbara Betz Quark Matter 2008, Jaipur, India

  13. Energy & Momentum Deposition II • Mach cone–like pattern for J. Casalderrey-Solana et al. J. Casalderrey-Solana et al., Nucl. Phys. A 774, 577 (2006) Barbara Betz Quark Matter 2008, Jaipur, India

  14. Conclusions & Outlook Mach cone correlation pattern • appears only if otherwise: Diffusion wake kills the Mach cone–like pattern • is not visible for cuts similar to experiment if Further investigations: • realistic energy–momentum deposition scenario • expanding medium Barbara Betz Quark Matter 2008, Jaipur, India

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