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Heavy Quark and charm propagation in Quark-Gluon plasma

2009/11/25 Discussion with Prof. Blaizot. Heavy Quark and charm propagation in Quark-Gluon plasma. Ref : Y.A., T.Hatsuda and T.Hirano, PRC79,054907 (2009) Y.A., T.Hatsuda and T.Hirano, PRC80,031901(R) (2009). Yukinao Akamatsu T etsuo Hatsuda Tetsufumi Hirano

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Heavy Quark and charm propagation in Quark-Gluon plasma

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  1. 2009/11/25 Discussion with Prof. Blaizot Heavy Quark and charm propagationin Quark-Gluon plasma Ref : Y.A., T.Hatsuda and T.Hirano, PRC79,054907 (2009) Y.A., T.Hatsuda and T.Hirano, PRC80,031901(R) (2009) Yukinao Akamatsu Tetsuo Hatsuda Tetsufumi Hirano (Univ. of Tokyo)

  2. Outline • Introduction • Langevin + Hydro Modelfor Heavy Quark • Numerical Calculations • Conclusions and Outlook • Discussion

  3. Introduction 0 0.6fm O(10) fm initial thermalization hydrodynamics hadron scattering observed Medium composed of light particles (u,d,s,g) Strongly coupled QGP (sQGP)  How can we probe it? Others : jets, J/Psi, etc Heavy quarks (c,b) --- heavy compared to temperature tiny thermal pair creation no mutual interaction  Good probe !

  4. Langevin + Hydro Model for Heavy Quark 1) Our model of HQ in medium in the (local) rest frame of matter Relativistic Langevin equation Assumeisotropic Gaussian white noise the only input, dimensionless Satisfy fluctuation-dissipation theorem 2) Energy loss of heavy quarks Weak coupling (pQCD) (leading order) Poor convergence (Caron-Huot ‘08) Strong coupling (SYM by AdS/CFT  sQGP) [ for naïve perturbation] N=4 SYM theory (Gubser ’06, Herzog et al. ’06, Teaney ’06) “Translation” to sQGP (Gubser ‘07)

  5. 3) Heavy Quark Langevin + Hydro Model 0 fm…. Little Bang generated by PYTHIA 0.6 fm… Initial Condition (pp + Glauber) Local temperature and flow Brownian Motion Full 3D hydrodynamics QGP T(x), u(x) (Hirano ’06) Heavy Quark Spectra _ c(b)→D(B)→e- +νe+π etc O(10)fm… (independent fragmentation) Electron Spectra+ …. Experiment (PHENIX, STAR ’07) time

  6. Numerical Calculations 1) Nuclear Modification Factor & Elliptic Flow Experimental result  γ=1-3 (AdS/CFT γ=2.1±0.5) charm : nearly thermalized bottom : not thermalized Different freezeouts at 1st order P.T. γ=1-3 Much smaller elliptic flow than in experiment bottom dominant ・Initial (LO pQCD) : good only at high pT ・CNM, quark coalescence : tiny at high pT

  7. 2) Azimuthal Correlation Back to back correlation of a heavy quark pair diffusion Loss of correlation in decay products from D & B e(mid-pseudorapidity)-μ(fwd-pseudorapidity) correlation : one peak no contribution from vector meson decay IAA : quantitative measure e-μ azimuthal correlation: sensitive probe for heavy quark thermalization rate

  8. e-h correlation (mid-pseudorapidity) : two peaks A sensitive probe but not clean … Effects we ignore : ・Hadronic interaction of associates ・Medium response to HQ propagation ・Fictitious correlation due to bulk v2 Relative angle range for IAA Near side : -0.5π≦Δφ≦0.5π Away side : 0.5π≦Δφ≦1.5π

  9. Conclusions and Outlook • Heavy quark can be described by relativistic Langevin dynamics with a drag parameter predicted by AdS/CFT(for RAA). • Drag parameter cannot explain RAA and v2 simultaneously. • A proposal of electron-muon correlation as anew tool to probe the heavy quark drag parameter. • Possible updates for • initial distribution with FONLL pQCD • quark coalescence, CNM effects,・・・ • (but almost done by Dr. Morino)

  10. Backup

  11. Weak coupling calculations for HQ energy loss γ~2.5 γ~0.2 RHIC, LHC

  12. A Little More on Langevin HQ Fluctuation-dissipation theorem Ito discretization  Fokker Planck equation Generalized FD theorem

  13. Notes in our model Initial condition <decayed electron in pp> <HQ in pp> available only spectral shape above pT~ 3GeV Reliable at high pT No nuclear matter effects in initial condition No quark coalescence effects in hadronization Where to stop in mixed phase at 1st order P.T.  3 choices (no/half/full mixed phase) f0=1.0/0.5/0.0

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