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To Those Who Perished in the 5.12 Earth Quake in China

To Those Who Perished in the 5.12 Earth Quake in China. Quark Propagation in a Nuclear Medium. Xin-Nian Wang LBNL. 4 Th Electron-Ion Collider Workshop Hampton, May 19-23, 2008. Medium Response Function. QCD Response:. Quark-medium scattering. Dynamic System: Photon or dilepton emission.

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To Those Who Perished in the 5.12 Earth Quake in China

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  1. To Those Who Perished in the 5.12 Earth Quake in China

  2. Quark Propagation in a Nuclear Medium Xin-Nian Wang LBNL 4Th Electron-Ion Collider Workshop Hampton, May 19-23, 2008

  3. Medium Response Function QCD Response: Quark-medium scattering Dynamic System: Photon or dilepton emission J/Y suppression

  4. Quark Propagation: Jet Quenching & Broadening parton hadrons E ph Suppression of leading particles Dh/a(z)=dN/dz (z=ph/E) Fragmentation Function dE/dx  modified frag. functions dN/d2kT Angular distribution <Dk2T>  jet broadening

  5. DIS off a large nucleus e- Loosely bound nucleus (p+, q- >> binding energy)

  6. Collinear Expansion Collinear expansion: Ward identities

  7. Collinear Expansion (cont’d) xp q xp x1p ‘Twist-3’ unintegrated quark distribution q ‘Twist-2’ unintegrated quark distribution =

  8. TMD (unintegrated) quark distribution Longitudinal gauge link Transverse gauge link Belitsky, Ji & Yuan’97

  9. Transport Operator Transport operator All in terms of collinear quark-gluon matrix elements Liang, XNW & Zhou’08 Taylor expansion

  10. Maximal Two-gluon Correlation

  11. Nuclear Broadening & Gluon Saturation Quark jet transport parameter Coherence effect  correlation between different nucleons Kochegov & Mueller’98 McLerran & Venugapolan’95 Gluon saturation Liang, XNW & Zhou’08

  12. SIDIS off Nuclei e- Frag. Func.

  13. DGLAP Evolution q q k1 k2 p p Splitting function

  14. Induced gluon emission in twist expansion q q xp xp x1p+kT Ap Ap Collinear expansion: Double scattering

  15. LPM Interference Formation time

  16. Modified Fragmentation Modified splitting functions Two-parton correlation: Guo & XNW’00

  17. Quadratic Nuclear Size Dependence

  18. HERMES data E. Wang & XNW PRL 2000 in Au nuclei

  19. Energy Dependence

  20. Jet quenching in heavy-ion collision single hadron dihadron in cold nuclei Central Au+Au in hot matter

  21. Summary • Quark transverse momentum distribution can be expressed in term collinear quark-gluon matrix elements • quark propagation in nuclei leads to kT broadening gluon correlation function • Jet transport parameter qhat  saturation scale Qsat2 • Modified fragmentation function  qhat~0.01 GeV^2/fm in HERMES at HERA versus qhat~ 1-2 GeV^2/fm in QGP at RHIC • qhat at small x and large Q^2 can reveal gluon dynamics (correlation, saturation) in nuclei

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