qgp hydro + hadronic cascade model: status report tetsufumi hirano dept. of physics the univ. of...
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QGP hydro + hadronic cascade model: Status report
Tetsufumi HiranoDept. of Physics
The Univ. of Tokyo
RCNP, Oct. 29-30, 2007RCNP, Oct. 29-30, 2007
TH, U.Heinz, D.Kharzeev, R.Lacey and Y.Nara, PLB636(2006)299; in preparationTH, U.Heinz, work in progress.
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Outline
Introduction Momentum Space (elliptic flow)
Mass ordering of v2(pT) revisited Violation of mass ordering for mesons Soft EOS in CGC case?
Configuration Space (femtoscopy) Source functions from hydro + cascade 1D, 3D (rside, rout, rlong)-directions
Summary
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Motivation
• To understand the QGP in H.I.C., one needs to develop a dynamical framework. • One example of agreement btw. data and theory is not sufficient. (Concerning accidental reproduction)• One needs to improve his/her model continuously toward establishment of the “observational QGP physics”.
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Mechanism of Mass Ordering?
STAR white paper (’05) PHENIX white paper (’05)
Lines: Results from Ideal hydro
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A Hybrid Approach: QGP hydro + hadronic cascade
0collision axis
time
Au Au
QGP fluid
Initial condition:•Transverse Glauber•Longitudinal “BGK triangle”QGP fluid:•3D ideal hydrodynamics (Hirano)•massless free u,d,s+ggas + bag const. •Tc = 170 MeV
Hadron gas:•Hadronic cascade, JAM1.09 (Nara)•Tsw = 169 MeV
hadron gasTH et al.(’06)
(1D) Bass, Dumitru (2D) Teaney, Lauret, Shuryak, (3D) Nonaka, Bass, Hirano et al.
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Pseudorapidity Distribution
Tune initial parameterswith Tth = 100MeVto reproduce dN/deta.Then, switch to hadroniccascade below T=Tsw.Caveat: Rejecting in-coming particles at Tsw
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pT spectra for pi, K, and p
Reasonable reproduction of yields and spectrain low pT region (pT<~1.5 GeV/c)
TH et al. (in preparation).
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v2(pT) for pi, K, and p
OK!
Fail to reproduce data due to(absence of) fluctuation of geometryMiller&Snelling (’03), Bhalerao&Ollitrault(’06)Andrade et al (’06),Drescher&Nara (’07)Browniowski et al(’07)
TH et al. (in preparation).
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Hydro + Cascade at Work in Forward Rapidity Regions
Adapted from S.J.Sanders (BRAHMS) @ QM2006
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Origin of Mass Ordering
Mass ordering behaviorresults from hadronicrescatterings.Not a direct signal of “perfect fluid QGP”Interplay btw. ideal QGP fluid and dissipative hadron gas
TH and M.Gyulassy; TH et al. (in preparation).
b=7.2fm
b=7.2fm
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Why they shift oppositely?
protonspions
pT
v 2(p
T)
v 2
<pT>
must decrease with proper timev2 for protons can be negativeeven in positive elliptic flow
TH and M.Gyulassy, NPA769,71(06) P.Huovinen et al.,PLB503,58(01);TH et al, in preparation
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MESON FLOW
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What happens to strangeness sector?
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Additive Quark Model in Transport Codes (JAM/RQMD/UrQMD)
For cross sections without exp. data,
Expected to be very small for phi, Omega, etc.
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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)
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-meson case
in pT < 1 GeV/c
Just after hadronization Final results
T = Tsw = 169 MeV
b=7.2fm b=7.2fm
TH et al. (in preparation).
Caveat: Published PHENIX data obtained in pT>~1GeV/c for mesons This is NOT obtained within ideal hydrodynamics.
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What happens if -meson follows radial flow?
Of course, mass ordering is seen in hydro calculations
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CGC INITIAL CONDITIONS
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CGC Initial Condition
•Unintegrated gluon distributiona.la. Kharzeev, Levin, and Nardi•Gluon production via kT factorization formula •Count deposited energy in dV at (0,x,y,s), 0 = 0.6fm/c
Transverse profile: Entropy density
Longitudinal Profile:Brodsky-Gunion-Kuhn triangle
Color Glass CondensateGlauber-BGK type
sx(fm) s
x(fm)
ene.
dens
ity
ene.
dens
ity
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Two Hydro Initial Conditions Which Clear the “First Hurdle”
1. CGC model Matching I.C. via e(x,y,) 2.Glauber model (as a reference) Npart:Ncoll = 85%:15%
Centrality dependence Rapidity dependence
Kharzeev,Levin, and NardiImplemented in hydro by TH and Nara
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v2(Npart) from CGC + QGP Fluid + Hadronic Gas Model
Glauber: Early thermalization Discovery of Perfect Fluid QGPCGC: No perfect fluid? Additional viscosity
required in QGP
Important to understand initial conditions much better for making a conclusion
TH et al.(’06)
Adil, Gyulassy, Hirano(’06)
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Large Eccentricity from CGC Initial Condition
xx
yy
Pocket formula (ideal hydro): v2 ~ 0.2 @ RHICOllitrault(’92)
Hirano and Nara(’04), Hirano et al.(’06)Kuhlman et al.(’06), Drescher et al.(’06)
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Soft QGP EoS
Soft EOS?(equilibrium)orViscosity?(non-eq.)
Soft EoS reduces v2
as it should
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Summary of flow part
A QGP fluid with hadronic rescatteringOrigin of mass ordering for v2(pT)
Radial flow effect, not “mass effect”.Violation of mass ordering for mesons
Mass ordering itself is not a direct signal of perfect fluidity! Interplay btw. QGP fluids and hadron gases.
CGC I.C. is “eccentric”. Soft EOS is needed within ideal hydrodynamics.
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Femtoscopy fromHydro + CascadeFrom momentum space
to configuration space
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Source Imaging
Primed in PCMS(P = 0)
Source Imaging:Inverse problem from C to D with a kernel K
No more Gaussian parametrization!
Source Imaging:Inverse problem from C to D with a kernel K
No more Gaussian parametrization!
Koonin-Pratt eq.:
Source function and normalized emission rate
(Brown&Danielewicz (’97-))
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Distribution of the Last Interaction Point from Hydro + Cascade
Blink: Ideal Hydro, Kolb and Heinz (2003)
x-t x-y
px ~ 0.5 GeV/c for pions•Long tail ( decay? elastic scattering?)•Positive x-t correlation
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1D Source Function from Hydro + Cascade
0.48 < KT <0.6 GeV/c0.2 < KT <0.36 GeV/c
•Angle averaged source function•Broader than PHENIX data•Almost no KT dependence PHENIX data•Significant effects of hadronic rescatterings
KT=PT/2
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Omega Decay or Not?
Switch off omega decay by hand in hadronic cascade Long tail still seen. Soft elastic scattering of pions?
b=5.8fm
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3D Source Function from Hydro + Cascade (preliminary!)
side out long
•Source function in PCMS•1fm-slice in each direction •0.2<KT<0.4 GeV/c, || < 0.35, +-+, --- pairs•Red: Without rescattering, Black: With rescattering•No longer Gaussian shape (Lines: Gaussian)•Broaden by hadronic rescatterings
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Summary of Femtoscopy
1D- and 3D-source functions from a dynamical model (QGP hydro + hadronic cascade)Significant rescattering effects are seen.Source function is no longer Gaussian.Long tail in 1D source function is described
within hadronic rescatterings.KT dependence?
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Outlook
Pair-angle dependence of source function in non-central collisions
Other pairs (K, p, ,…) correlation to investigate interaction
(with Ohnishi-san)Just get started. Many other things to
do…