Jet Propagation and Mach-Cone Formation in (3+1)-dimensional Ideal Hydrodynamics Barbara Betz and Miklos Gyulassy, Jorge Noronha, Dirk Rischke, Giorgio.

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Presentation transcript:

Jet Propagation and Mach-Cone Formation in (3+1)-dimensional Ideal Hydrodynamics Barbara Betz and Miklos Gyulassy, Jorge Noronha, Dirk Rischke, Giorgio Torrieri Nucl. Phys. A 830, 777c (2009), arXiv:

206/17/10 JET Summer School Berkeley Barbara Betz Jet - Studies in HIC I Jet moving through dense matter, depositing its energy should eventually disappear Jet suppression: signal for creation of opaque matter (Quark-Gluon Plasma) STAR, Phys. Rev. Lett. 91 (2003) < p T trigger < 6 GeV/c p T assoc > 2 GeV/c Can energy lost by jets tell us something about medium properties? Trigger particle

306/17/10 JET Summer School Berkeley Barbara Betz Jet - Studies in HIC II STAR, Nucl. Phys. A 774, 129 (2006) 4 < p T trigger < 6 GeV/c 0.15 < p T assoc < 4 GeV/c Reflect interaction of jet with medium PHENIX, Phys. Rev. C 77, (2008) Au+Au / p+p = 200 GeV Generation of Mach cone pattern Redistribution of energy to lower p T - particles Re-appearance of the away-side for low and intermediate p T assoc Mach cone angle sensitive to EoS: H. Stöcker, Nucl. Phys. A 750, 121 (2005), J. Casalderrey-Solana et al. Nucl. Phys. A 774, 577 (2006)

406/17/10 JET Summer School Berkeley Barbara Betz Modelling of Jets in Hydro Jets can be modelled using hydrodynamics: STAR, Phys. Rev. Lett. 95, (2005) residue of energy and momentum given by the jet Medium created in a HIC can be described using hydrodynamics P. Romatschke and U. Romatschke, Phys. Rev. Lett. 99, (2007)  Conversion into particles Freeze-out:

5 L. Satarov et al, Phys. Lett. B 627, 64 (2005) Expanding Medium I Consider different jet paths b=0 Apply Glauber initial conditions and an ideal Gas EoS for massless gluons Focus on radial flow contribution Experimental results based on many events A. K. Chaudhuri, Phys. Rev. C 75, (2007), A. K. Chaudhuri, Phys. Rev. C 77, (2008) Two-particle correlation (T freeze-out < T crit = 130 MeV): represents near-side jet 06/17/10 JET Summer School Berkeley Barbara Betz Jet 150 E tot = 5 GeV dE/dt = 1 GeV/fm

6 Expanding Medium II E tot = 5 GeV broad away-side peak double peaked structure due to non-central jets T trig p T trig = 3.5 GeV PHENIX, Phys. Rev. C 77, (2008) 06/17/10 JET Summer School Berkeley Barbara Betz v jet =0.999 BB et al., arXiv:

7 Expanding Medium III 06/17/10 JET Summer School Berkeley Barbara Betz Comparing different deposition scenarios, one sees that „cone“ angle approximately the same for different deposition scenarios T assoc p T assoc = 2.0 GeV: No double-peaked structure for pure energy deposition scenario due to thermal smearking T trig p T trig = 3.5 GeV T assoc p T assoc = 3.0 GeV T assoc p T assoc = 2.0 GeV v jet =0.999 BB et al., arXiv:

8 Expanding Medium IV 06/17/10 JET Summer School Berkeley Barbara Betz Conical emission angle also appears for subsonic jets Not a Mach cone Considering a bottom quark (M=4.5 GeV), propagating at v jet < c s (on-shell energy-momentum deposition scenario) T assoc p T assoc = 2.0 GeV Cu+Cu: Similar away-side shoulder width, T assoc double-peak structure reappars for p T assoc = 3 GeV BB et al., arXiv:

906/17/10 JET Summer School Berkeley Barbara Betz Summary  „Conical“ signal can be created:  Observed „cone“ angle is quite insensitive of  Can be tested experimentally comparing hard-soft correlations induced by heavy-flavor tagged jets. by averaging over wakes created by jets in different events. There is a deflection of particles emitted due to collective transverse flow.  the energy-momentum deposition mechanism,  the jet velocity (for both supersonic and subsonic „jets“),  the system size.