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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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Quark Propagation in a Nuclear Medium Xin-Nian Wang LBNL 4Th Electron-Ion Collider Workshop Hampton, May 19-23, 2008
Medium Response Function QCD Response: Quark-medium scattering Dynamic System: Photon or dilepton emission J/Y suppression
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
DIS off a large nucleus e- Loosely bound nucleus (p+, q- >> binding energy)
Collinear Expansion Collinear expansion: Ward identities
Collinear Expansion (cont’d) xp q xp x1p ‘Twist-3’ unintegrated quark distribution q ‘Twist-2’ unintegrated quark distribution =
TMD (unintegrated) quark distribution Longitudinal gauge link Transverse gauge link Belitsky, Ji & Yuan’97
Transport Operator Transport operator All in terms of collinear quark-gluon matrix elements Liang, XNW & Zhou’08 Taylor expansion
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
SIDIS off Nuclei e- Frag. Func.
DGLAP Evolution q q k1 k2 p p Splitting function
Induced gluon emission in twist expansion q q xp xp x1p+kT Ap Ap Collinear expansion: Double scattering
LPM Interference Formation time
Modified Fragmentation Modified splitting functions Two-parton correlation: Guo & XNW’00
HERMES data E. Wang & XNW PRL 2000 in Au nuclei
Jet quenching in heavy-ion collision single hadron dihadron in cold nuclei Central Au+Au in hot matter
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