Comprehensive Analysis of In-Medium Quarkonia at SPS, RHIC + LHC
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Transcript of Comprehensive Analysis of In-Medium Quarkonia at SPS, RHIC + LHC
Comprehensive Analysis of
In-Medium Quarkonia at SPS, RHIC + LHC
Ralf Rapp Cyclotron Institute +
Dept. of Physics & Astronomy Texas A&M University
College Station, TX USA
With: X. Zhao, A. Emerick
Quark Matter 2012 ConferenceWashington (DC), 12.-18.08.12
1.) Introduction: A “Calibrated” QCD Force
•Vacuum charm- + bottomonium spectroscopy well described
• Non-perturbative force (EBCoul(J/) ~ 0.05 GeV vs. 0.6 GeV expt.)
• Persists in medium to at least ~2Tc
• Potential approach in medium?
[Kaczmarek et al ‘03]
V [½ GeV]
r [½ fm]
• Lippmann-Schwinger equation
In-Medium Q-Q T-Matrix: -
2.) Thermodynamic T-Matrix for Quarkonia in QGP
)'q,k;E(T)k,E(G)k,q(Vdkk)'q,q(V)'q,q;E(T QQ 02
[Mannarelli,Cabrera,Riek+RR ‘05,‘06,‘10]
• potential V strictly real
• imaginary parts: unitarization (cuts in in-med. QQ propagator GQQ) -
q q
• gluo-dissosciation (coupled channel) [Bhanot+Peskin ‘85] • Landau damping (HQ selfenergy)
2.2 Brueckner Theory of Heavy Quarks in QGP
2-body potential QQ
T-matrix
QqT-matrix
Q → Q0-modes
Quarkselfenergy
QQ evolution (rate equation)
Q spectra + v2
(Langevin)
spectral fcts./eucl. correlat.
quark-no.susceptibility
latticedata
exp.data
Input Process Output Test
-
-
reaction rate equilibrium limit ( -width) )m,m,dp/dN( cTc
3.) Transport Approach to Quarkonium Evolution
J/ D
D-
J/c- c
)NN(d
dN eq
[PBM et al ’01, Gorenstein et al ’02,Thews et al ’01, Grandchamp+RR ’01, Ko et al ’02, Cassing et al ’03, Zhuang et al ’05, …]
J/ + g c + c + X←→ -• Regeneration in QGP + HG:
detailed balance:
mc*
B
• Input from T-Matrix (weak/strong binding)
• Rate Equation:
3.1 Inputs + Parameters• Input
- J/ c, ’, bb + cc production cross sections [p-p]
- “Cold Nuclear Matter” effects (shadowing, nucl. abs., Cronin) [p/d-A]
- Medium evolution: thermal fireball [A-A, hydrodynamics]
• Parameters
- strong coupling s controls diss
- incomplete c-quark equilibration: N
eq () ~ Ntherm() · [1-exp(-/c
eq)]
-
q q
-
3.2 Inclusive J/ at SPS + RHIC
• s~0.3, charm relax. ceq = 6(3) fm/c for U(F) vs. ~5(10) from T-matrix
• different composition in two scenarios
Strong Binding (U) Weak Binding (F)
[Zhao+RR ‘10]
3.2.2 J/ pT Spectra + Elliptic Flow at RHIC
• small v2 limits regeneration, but does not exclude it [Zhao+RR ‘08]
(U potential)
• shallow minimum at low pT
• high pT: formation time, b feeddown, Cronin
3.3 J/ at LHC: Centrality
• regeneration increases, still net suppression• uncertainty from “shadowing”• good consistency of transport approaches [Zhao+RR ‘11]
Mid-Rapidity Forward Rapidity
3.3.2 J/ at LHC: pT-Spectra + v2
• maximum at low pT confirms expected regeneration level
• room for additional regeneration with harder pT spectra…
• b-feeddown prevalent at high pT
3.4 (1S) and (2S) at LHC
• sensitive to color-screening + early evolution times• clear preference for strong binding (U potential)
(1S) →
(2S) →
[Grandchamp et al ’06, Emerick et al ‘11]
Weak Binding Strong Binding
4.) Conclusions
• Thermodynamic T-matrix approach → quarkonium spectral fcts. + HQ transport in QGP, benchmarks: lattice QCD, vacuum spectroscopy, pQCD
• Kinetic rate equation with in-medium quarkonia → dissociation + formation in QGP / hadronization inputs: HQ cross-secs., cold-nuclear-matter effects,…
• “Weak-binding” scenario disfavored - inconsistent with: HF transport, (1S) suppression, …
• Manifestations of J/ regeneration - RAA
SPS(Ti~220) ~ RAARHIC(Ti~350) < RAA
LHC(Ti~550) ~ 0.5
- low-pT enhancement of RAALHC, finite v2
3.3.3 J/ at LHC III: High-pt – ATLAS+CMS
• underestimate for peripheral (expected from RHIC) (spherical fireball reduces surface effects …)
[Zhao+RR ‘11]
3.3.4 Time Evolution of J/ at LHC
• finite “cooking-time” window, determined by inelastic width
[Zhao+RR ‘11]
Strong Binding (U) Weak Binding (F)
3.4 at RHIC and LHC
• sensitive to color-screening + early evolution times
RHIC →
LHC →
[Grandchamp et al ’06, Emerick et al ‘11]
Weak Binding Strong Binding
• U-potential, selfconsist. c-quark width
• Spectral Functions - J/ melting at ~1.5Tc
- c melting at ~Tc
- c ~ 100MeV
• Correlator Ratios
- rough agreement with lQCD within uncertainties
3.2 Charmonia in QGP: T-Matrix Approach
[Mocsy+ Petreczky ’05+’08, Wong ’06, Cabrera+RR ’06, Beraudo et al ’06, Satz et al ’08, Lee et al ’09, Riek+RR ’10, …]
[Aarts et al ‘07]
• selfcons. c-quark width
• Spectral Functions - J/ melting at ~1.1Tc
- c melting at ≤ Tc
- c ~ 50MeV
• Correlator Ratios
- slightly worse agreement with lQCD
3.2.2 T-matrix Approach with F-Potential
[Riek+RR ’10]
[Aarts et al ‘07]
3.3 Charm-Quark Susceptibility in QGP
• sensitive to in-medium charm-quark mass • finite-width effects can compensate in-medium mass increase
[Riek+RR ‘10]
2→ →
→ 0 m « T
4.2.5.2 Thermalization Rate from T-Matrix
• thermalization 4 (2) times faster using U (F) as potential than pert. QCD
• momentum dependence essential (nonpert. effect ≠ K-factor!)
[Riek+RR ‘10]
c [
1/fm
]
4.5 Summary of Charm Diffusion in Matter
• Shallow minimun around Tc ?!
• Quark-Hadron Continuity?!• 20% reduction by non-perturbative HQ-gluon scattering
Hadronic Matter vs. QGP vs. Lattice QCD (quenched)
[He et al ’11, Riek+RR ’10, Ding et al ‘11, Gavai et al ‘11]
AdS/CFT
• dashed lines: gluo-dissociation
• solid lines: quasifree dissociation
• similar to full NLO calculation
3.1.3 Momentum Dependence of Inelastic Width
_
[Zhao+RR ‘07] [Park et al ‘07]
4.3 J/ at Forward Rapidity at RHIC
[Zhao+RR ‘10]