Collective Flow from QGP Hydro + Hadronic Cascade Tetsufumi Hirano Dept. of Physics The Univ. of Tokyo ISMD, Aug. 4-10, 2007 TH, U.Heinz, D.Kharzeev, R.Lacey,

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Collective Flow from QGP Hydro + Hadronic Cascade Tetsufumi Hirano Dept. of Physics The Univ. of Tokyo ISMD, Aug. 4-10, 2007 TH, U.Heinz, D.Kharzeev, R.Lacey, and Y.Nara (in preparation)

Outline Introduction & Motivation Mass ordering of v 2 (p T ) revisited Violation of mass ordering for  mesons Summary

Is Mass Ordering of v 2 (p T ) a Direct Signal of Perfect Fluidity? STAR white paper (’05) PHENIX white paper (’05) Lines: Results from Ideal hydro Consequences of perfect fluid QGP?

Motivation To understand the QGP in H.I.C., need to understand the hadronic stage since Indispensable to disentangle these effects for understanding of unknowns.

A Hybrid Approach: QGP hydro + hadronic cascade 0 collision axis time Au QGP fluid Initial condition: Transverse  Glauber Longitudinal  “BGK triangle” QGP fluid: 3D ideal hydrodynamics (Hirano) massless free u,d,s+g gas + bag const. T c = 170 MeV Hadron gas: Hadronic cascade, JAM1.09 (Nara) T sw = 169 MeV hadron gas TH et al.(’06) (1D) Bass, Dumitru (2D) Teaney, Lauret, Shuryak, (3D) Nonaka, Bass, Hirano et al.

Pseudorapidity Distribution Tune initial parameters with T th = 100MeV to reproduce dN/deta. Then, switch to hadronic cascade below T=T sw. Caveat: Rejecting in- coming particles at T sw

p T spectra for pi, K, and p Reasonable reproduction of yields and spectra in low p T region (p T <~1.5 GeV/c) TH et al. (in preparation).

v 2 (p T ) for pi, K, and p OK! Fail to reproduce data due to (absence of) fluctuation of geometry Miller&Snelling (’03), Bhalerao&Ollitrault(’06) Andrade et al (’06),Drescher&Nara (’07) Browniowski et al(’07) TH et al. (in preparation).

Pseudorapidity Dependence of Elliptic Flow Fail to reproduce data due to (absence of) fluctuation of geometry Miller&Snelling (’03), Bhalerao&Ollitrault(’06) Andrade et al (’06),Drescher&Nara (’07) Browniowski et al(’07) v2 is largely suppressed in forward region due to hadronic dissipation. Hydro + cascade generates a right amount of elliptic flow.

Hydro + Cascade at Work in Forward Rapidity Regions Adapted from S.J.Sanders QM2006

Origin of Mass Ordering Mass ordering behavior results from hadronic rescatterings.  Subtle interplay btw. “perfect fluid QGP” and “hadronic corona”. TH et al. (in preparation). b=7.2fm

What happens to strangeness sector?

Additive Quark Model in Transport Codes (JAM/RQMD/UrQMD) For cross sections without exp. data, Expected to be very small for phi, Omega, etc.

Distribution of Freeze-Out Time b=2.0fm (no decay) TH et al. (in preparation). Early kinetic freezeout for multistrange hadrons: van Hecke, Sorge, Xu(’98) Phi can serve a direct information at the hadronization.

 -meson case in p T < 1 GeV/c Just after hadronization Final results T = T sw = 169 MeV b=7.2fm TH et al. (in preparation). Caveat: Published PHENIX data obtained in p T >~1GeV/c for  mesons This is NOT obtained within ideal hydrodynamics.

Summary A QGP fluid + hadronic rescattering Reproduction of both p T dist. and v 2 (p T,m) Reproduction of integrated and differential v 2 in forward rapidity regions Origin of mass ordering of v 2 (p T )  Radial flow effect, not “ mass effect ”.  Need QGP to get large integrated v 2, Need hadronic rescattering to get correct mass ordering. Violation of mass ordering for phi mesons  Clear signal to see this scenario  Can serve a direct information of the QGP

Hadronic Dissipation Suppresses Differential Elliptic Flow Difference comes from dissipation only in the hadron phase Caveat: Chemically frozen hadronic fluid is essential in differential elliptic flow. (TH and M.Gyulassy (’06)) Relevant parameter:  s / Relevant parameter:  s /  Teaney(’03) Teaney(’03) Dissipative effect is not soDissipative effect is not so large due to small expansion rate (1/tau ~ fm -1 )

Excitation Function of v2 Hadronic Dissipation is huge at SPS.is huge at SPS. still affects v 2 at RHIC.still affects v 2 at RHIC. is almost negligible at LHC.is almost negligible at LHC.