Quarkonium as Probe of Hot QCD Medium · 2013-01-31 · Ágnes Mócsy, XQCD July 18-20 2011, San...

Quarkonium as Probe of Hot QCD Medium

Ágnes Mócsy

Quarkonium as Probe of Hot QCD Medium

Ágnes Mócsy

in collaboration with Peter Petreczky (BNL), Chuan Miao (Uni Mainz)

Ágnes Mócsy, XQCD July 18-20 2011, San Carlos, Mexico

QCD Expectations

2

J/ψ suppression proposed

signal of deconfined QGP

- Temperature effects in deconfined medium: screening, Landau damping, ...

- In-medium properties encoded in quarkonium spectral functions

- Theory predicts the J/ψ disappears in the plasma

Dissolution (“melting”) seen as progressive broadening and disappearance of bound-state peaks

T=0 T>0 T>Td

Matsui, Satz PLB 1986


What We Know from Lattice

3

Deconfinement Color screening

F1(r,T)[GeV]

T=0

- Rapid rise of the energy density: liberation of new degrees of freedom

- Strong screening of static Q-Qbar free energy - at shorter distances with increasing T

r[fm]Cheng et al (RBC-Bielefeld) PRD 77, 014511 (2008)


What We Know from Lattice

4

Deconfinement Color screening

F1(r,T)[GeV]

T=0

- Rapid rise of the energy density: liberation of new degrees of freedom

- Strong screening of static Q-Qbar free energy - at shorter distances with increasing T

rscr < rJ/ψ “melting” of the J/ψ

J/ψ

Y

r[fm]Cheng et al (RBC-Bielefeld) PRD 77, 014511 (2008)

Ágnes Mócsy, XQCD July 18-20 2011, San Carlos, Mexico 5

- J/ψ-suppression pattern observed at SPS and RHIC and LHC

- J/ψ nuclear modification factor: yield in AA collisions relative to yield in pp (where no QGP formation expected) scaled with number of binary NN collisions

Experimental RAA


Experimental RAA

6

It is difficult to unambiguously interpret - we are still not there

The J/ψ story: Two decades worth of data Modest theory advancement

Lots of ad-hoc phenomenological modeling


Experimental RAA

7

It is difficult to unambiguously interpret - we are still not there

The J/ψ story: Two decades worth of data Modest theory advancement

Lots of ad-hoc phenomenological modeling

The Υ story: just started !


What’s the Physics Behind ?

8

To answer this question we need to know:

- How the properties of J/ψ change in a deconfined medium Determine the spectral function

- Relate an equilibrium spectral function to RAA Through real-time dynamics

- Identify what physics might contribute to RAA for example: Suppression is seen in pA, dA data as well (where no QGP formation expected) Cold nuclear matter effects - could be relevant to AA

But is the J/ψ RAA a signal for deconfinement and screening ?!


Determine the Spectral Function

9


Theory Progress

10

- Lattice QCD, potential models, effective field theories (EFT)

- Recently: Spectral functions are calculated Cabrera, Rapp, Mócsy, Petreczky, Alberico, Beraudo,Laine et al Kaczmarek et al, Morita et al, ...

True when Ebin is the smallest scale. - Potential model assumes: most medium effects on quarkonium described by a T-dependent potential.

Internal energy U or free energy F or combination of these


Theory Progress

11

- Lattice QCD, potential models, effective field theories (EFT)

- Recently: Spectral functions are calculated Cabrera, Rapp, Mócsy, Petreczky, Alberico, Beraudo,Laine et al Kaczmarek et al, Morita et al, ...

True when Ebin is the smallest scale. - Potential model assumes: most medium effects on quarkonium described by a T-dependent potential.

Internal energy U or free energy F or combination of these

Which one of these is the correct potential has become an irrelevant question!

Thermodynamic quantities calculated on the lattice related to potential only in very special cases (ex. LO weak coupling)


Theory Progress

12

- Recently: Potential model (can be placed on more solid grounds) appears as the tree-level approximation of the EFT and can be systematically improved

Isotrop: Laine et al, Brambilla et al, Blaizot et al, Escobado, Soto, ...Anisotrop: Strickland et al, Philipsen et al,


Theory Progress

12


T-effects: screening, Landau-damping, singlet-octet transition...


complex potential


Theory Progress

12




complex potentialbonus: the applicability of potential model approach is apparent


Theory Progress

12




complex potentialbonus: the applicability of potential model approach is apparent

drawback: weak coupling assumption. how to include perturbative effects?


The Complex Potential

13

Mócsy, Petreczky, PRL 99 (07) 211602 Burnier, Laine, Vepsalainen JHEP 0801 (08) 043 Beraudo, arXiv:0812.1130

Maximal value (upper bound) Minimal value (lower bound)

Constrain ReVs(r) by lattice QCD data on the singlet free energy

Take ImVs(r) from HTL resummedpQCD calculations

Thermal contributions come from Re (→ binding energy) and Im (→ width) part


1.2Tc1.2Tc

T=0 potential

Internal energyTS

- lower limit

- upper limit

Free energy

Mocsy, Petreczky, PRD 77 (2008)


1.2Tc1.2Tc

T=0 potentialMost confining potential

Internal energyTS

- lower limit

- upper limit

Free energy

Mocsy, Petreczky, PRD 77 (2008)



15








15






Study the effect of color screening and of dissipation on the quarkonium spectral functions.


Charmonium Spectral Function

16

- 1S peak with reduced binding energy - residual c-cbar correlations persist

Mocsy, Petreczky, PRL 2007, PRD 2008,

residual correlations

Take the upper limit for the real part of the potential allowed by lattice calculations

Im Vs(r) =0

Calculated in full QCD

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

2.6 2.8 3 3.2 3.4 3.6 3.8 4![GeV]

"(!)/!2T=0

245MeV326MeV449MeV



16





Im Vs(r) =0


0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

2.6 2.8 3 3.2 3.4 3.6 3.8 4![GeV]

"(!)/!2T=0

245MeV326MeV449MeV

Take the perturbative imaginary part of the potential and the code from Burnier, Laine, Vepsalainen JHEP 0801 (08) 043

Petreczky, Miao, Mocsy, Nucl Phys A 2011

Im Vs(r) ≠0

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

2.6 2.8 3 3.2 3.4 3.6 3.8 4![GeV]

"(!)/!2T=0

245MeV326MeV449MeV

- dramatic changes with Im part, peaks strongly broaden



16





Im Vs(r) =0

No charmonium state could survive for T > 240 MeV


0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

2.6 2.8 3 3.2 3.4 3.6 3.8 4![GeV]

"(!)/!2T=0

245MeV326MeV449MeV



Im Vs(r) ≠0

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

2.6 2.8 3 3.2 3.4 3.6 3.8 4![GeV]

"(!)/!2T=0

245MeV326MeV449MeV

- dramatic changes with Im part, peaks strongly broaden


Bottomonium Spectral Function

17

Im Vs(r) ≠0Im Vs(r) =0

2S1S 3S 1S 2S 3S


Mocsy, Petreczky, PRL 2007, PRD 2008




- 1S peak and remnant of 2S state there - Binding energies reduced - Threshold enhancement

- Changing Re part has little effect - Dramatic changes with Im part peaks significantly broaden


Bottomonium Spectral Function

17

No bottomonium state could survive for T > 450 MeV

Im Vs(r) ≠0Im Vs(r) =0

2S1S 3S 1S 2S 3S


Mocsy, Petreczky, PRL 2007, PRD 2008




- 1S peak and remnant of 2S state there - Binding energies reduced - Threshold enhancement

- Changing Re part has little effect - Dramatic changes with Im part peaks significantly broaden


“Melting” Temperatures

18

T/TC 1/〈r〉

ϒ(1S)

J/ψ(1S)

χc(1P)≤ 1

2

1.2

χb(1P)

- Quantitative estimates of peak disappearance Thermometer of upper limits Tdiss

Note - Ebin would be smaller with other potentials -- lower melting temperatures

- Charmonium sensitive to Re V Bottomonium sensitive to Im V

Note: At finite temperature Ebinding=0 is

an overkill for dissociation !

Could be different mechanism behind melting J/ψ and Y


“Lattice says so ... “

19

- Ugly rumor : “Lattice tells J/ψ survives to 2Tc” There is no evidence for that.

- Neither the unchanged Euclidean correlator ratios, nor the extracted spectral functions suggest charmonium survival.


“Lattice says so ... “

20

Correlator ratios not sensitive to spectral function changes.

€

G τ,T( ) = σ ω,T( )K τ,ω,T( )dω∫

€

Grec τ,T( ) = σ ω,T = 0( )K τ,ω,T( )dω∫

€

G τ, r p ,T( ) = d3∫ xeir p r x jH τ, r x ( ) jH

+ 0,r 0 ( )

- Correlation function of mesonic currents in Euclidean time are calculated

- Correlators ratios studied

- We now understand that changes come from zero modes - Correlator ratios do not change in all channels- Potential model agree with lattice



21

MEM

€

G τ,T( ) = σ ω,T( )K τ,ω,T( )dω∫

€

Grec τ,T( ) = σ ω,T = 0( )K τ,ω,T( )dω∫€

G τ,T( ) = σ ω,T( )K τ,ω,T( )dω∫

€

Grec τ,T( ) = σ ω,T = 0( )K τ,ω,T( )dω∫

Extracted from correlation function of mesonic currents in Euclidean time

€

G τ,T( ) = σ ω,T( )K τ,ω,T( )dω∫

€

Grec τ,T( ) = σ ω,T = 0( )K τ,ω,T( )dω∫spectral function extractednot directly calculated

correlator directly calculated

Shortcomings: limited # of data points limited extent in taudefault model dependence large

O (10) data but O (100) degrees of freedom to reconstruct

Extracted in quenched QCD

Umeda et al, EPJ C39S1 (05) 9, Asakawa, Hatsuda,PRL 92 (2004) 01200, Datta et al,PRD 69 (04) 094507,Jakovac et al PRD 2007, ...

maximizes the conditional probability of having the spf given the data and

some prior knowledge



22

Jakovac et al PRD 2007




22



σ(ω)/ω2

ω[GeV

Mocsy, Petreczky, PRD 2008



22



σ(ω)/ω2

ω[GeV

Mocsy, Petreczky, PRD 2008

Peak (previously regarded as bound state) consistent with

threshold enhancement



23



Strong default model dependence

prior: from T=0 data at high energiesprior: perturbative continuum spf (no lattice effects)

peak - no peak ?!



24

Comparing low resolution confined phase (blue) to low resolution deconfined phase (red) and getting an agreement does not imply the agreement will hold at high resolution




agreement in low resolution doesnot imply agreement at high resolution

25



26



27



28



29



(extracted) Lattice spectral functions do not suggest Jpsi survival well into the deconfined medium


Comparison to Other Works

30

Most recent extracted charmonium spectral functionsTalk by H-T Ding (Bielefeld)

at BNL in June 2011

prior: from T=0 data at high energies

Ding, Kaczmarek, Karsch, Satz 2010

“Our analysis suggests that J/ψ is melted already by 1.46 Tc”



31

Unlike temporal correlators, spatial correlators can be studied at arbitrary large distances

Charmonium screening in quark gluon plasmaTalk by Swagato Mukherjee (BNL)

at BNL in June 2011

Screening mass C(z) ~ exp[−Mz ]inverse screening length of charmonium in the medium

dynamical lattice QCD simulations

freely propagating c & cbar in the medium

charmonium does not feel T



31

Unlike temporal correlators, spatial correlators can be studied at arbitrary large distances

Charmonium screening in quark gluon plasma

In-medium charmonia differs from vacuum for T ~ 1.2Tc

Talk by Swagato Mukherjee (BNL)at BNL in June 2011

Screening mass C(z) ~ exp[−Mz ]inverse screening length of charmonium in the medium

dynamical lattice QCD simulations

freely propagating c & cbar in the medium

charmonium does not feel T



32

Compared to lattice: No reduction of data points, allowing a direct comparison of T=0 and T≠0 spectral functions.

Sum rule approach to quarkonium at finite temperature

P. Gubler and M. Oka, Prog. Theor. Phys. 124, 995 (2010). P. Gubler, K. Morita and M. Oka, arXiv:1104.4436 [hep-ph].

Talk by Philipp Gubler (TokyoTech)at BNL in June 2011



32

Compared to lattice: No reduction of data points, allowing a direct comparison of T=0 and T≠0 spectral functions.

Sum rule approach to quarkonium at finite temperature

P. Gubler and M. Oka, Prog. Theor. Phys. 124, 995 (2010). P. Gubler, K. Morita and M. Oka, arXiv:1104.4436 [hep-ph].

Both ηc and J/ψ melt between T ~ 1.0 TC and T ~ 1.1 TC

Talk by Philipp Gubler (TokyoTech)at BNL in June 2011



33

T/TC 1/〈r〉

ϒ(1S)

J/ψ(1S)

χc(1P)≤ 1

2

1.2

χb(1P)

Tc used in quarkonium studies by everyone MEM, Cabrera, Rapp, Zhao, Mocsy, Petreczky, Young, Shuryak, ...

Tc = 270MeV, 204MeV, 196MeV, 190MeV , ...



33

T/TC 1/〈r〉

ϒ(1S)

J/ψ(1S)

χc(1P)≤ 1

2

1.2

χb(1P)

- Be aware of the meaning of Tc ! In pure gauge theory Tc = 270 MeV

In full QCD there is Tchiral ≅157 MeV and Tonset of screening ≅190-200 MeVBazavov, Petreczky, 2010Budapest-Wuppertal 2010, HotQCD 2011

Boyd et al 1996


Tc = 270MeV, 204MeV, 196MeV, 190MeV , ...

Chiral vs Deconfinement

34

defining transition temperature: peak of chiral susceptibility

Everyone agrees


35

Deconfinement: - liberation of many degrees of freedom, which can be understood as a transition from hadronic degrees of freedom to partonic ones- the onset of screening

Cheng et al (RBC-Bielefeld) PRD 77, 014511 (2008)

pion gas: 3 free quark-gluon gas: ~ 8x2 + 3x2x2x3 = 52

dof ?(160-200) MeV

T > 200MeV Most relevant for

quarkonium physics at finite temperature

Debye screening, Landau damping - are effects from deconfined quarks and gluons


36

Deconfinement: - liberation of many degrees of freedom, which can be understood as a transition from hadronic degrees of freedom to partonic ones- the onset of screening

Bazavov and P.P., arXiv:1005.1131, arXiv:1009.4914, arXiv:1012.1257, Söldner, arXiv:1012.4484

Partonic screening becomes relevant at about ~1.3Tc, where Tc is chiral transition

So we are back to T > 200MeV region

It is most relevant for quarkonium



37

T/TC 1/〈r〉

ϒ(1S)

J/ψ(1S)

χc(1P)≤ 1

2

1.2

χb(1P)


Tc = 270MeV, 204MeV, 196MeV, 190MeV , ...



38

New Rules: Let’s talk about absolute temperatures instead in Tc units



38

T/TC 1/〈r〉

ϒ(1S)

J/ψ(1S)

χc(1P)≤ 1

2

1.2

χb(1P)

T

450 MeV

240 MeV

200 MeV

New Rules: Let’s talk about absolute temperatures instead in Tc units


From Theory to Data

39


Famous Plot

40

How can we relate these?

Quarkonium spectral functionsin equilibrated plasma Experimental data


Famous Plot

40

How can we relate these?

Quarkonium spectral functionsin equilibrated plasma Experimental dataD

ynam

ical

mod

els


The Connection

41

- Modeling the motion of c-cbar in the evolving fireball - stochastic force from the heat bath

- attractive interaction between c-cbar

- lifetime of the plasma

- Spectral function calculation → no bound states only correlated c-cbar pairs

- Input: charm diffusion constant if small enough that attraction between c and cbar may survive

- What is the probability that c-cbar find themselves in proximity at the hadronization time?

illustration by Alex Doig

- Input: heavy quark potential

Zhao, Rapp, van Hees, Fries, Young, Shuryak, Strickland ...


The Connection

42

- Direct J/ψ suppressed, but ~ 50% of correlated c-cbar recombine- Coalescence gives relative small contribution- Quite good agreement with data for small charm diffusion and Tc=190 MeV

- statistical recombination c and cbar originate fromdifferent hard processes

- suppression + correlated regeneration

- total yield

Note: Tc = Tdeconfinement

Young, Shuryak, PRC 2010The 1st microscopic calculationof non-correlated recombination!

- Comparison to PHENIX data


The Connection

42

- Direct J/ψ suppressed, but ~ 50% of correlated c-cbar recombine- Coalescence gives relative small contribution- Quite good agreement with data for small charm diffusion and Tc=190 MeV



- total yield

Note: Tc = Tdeconfinement


Outlook: Petreczky, Mocsy (BNL/Pratt) and Young, Schenke (McGill/BNL) using MUSIC



The Connection

43

- Note There are effects not included in this model: initial state effects and absorption in the crossover-hadronic region (CNM effects)- A quantitative comparison with data is difficult



- total yield




Isolate Hot Effects from Other Physics

44


Can we isolate hot effects?

45

c and cbar are produced at

early times ... ... end up in hidden (J/ψ) or

in open (D) charm

... go through the entire evolution ...




Cold Nuclear Matter

Initial: PDF’s modification (shadowing)Final: nuclear absorption

Hot Matter

screeninggluo-dissociation Landau damping threshold enhancement

Coalescence(regeneration)

coalescence of single c quarks in the plasma

Feed-down

J/ψ from decays:ψ’, χc → J/ψ χb, ϒ’, ϒ’’→ ϒ

keywords

Hadronic Absorption



Can we isolate hot effects?new way of organizing

Deconfined Matter

Crossover/Hadronic Region

Initial State




48

“Anomalous suppression” With CNM effects divided out

This makes sense if - all CNM effects are initial state (shadowing), or - absorption in the crossover region (“mixed phase”) is similar to absorption in nuclear matter

M. Leitch, INT Quarkonium Workshop 2008



49

“Anomalous suppression” With CNM effects divided out

- SPS described well with hadronic - reaches into crossover region - RHIC reaches into deconfined region onset of plasma effects (onset of screening) ~ 3.5 GeV/fm3 ~ 200 MeV

energy-density

M. Leitch, INT Quarkonium Workshop 2008


Other Controls

50

Great for separating the different contributions At high pT

- CNM effects are less important: larger x- Statistical recombination has little effect

RAA versus pT

At RHIC: no suppression for J/y at high pT (~5 GeV) in 200GeV Cu+Cu and peripheral Au+Au collisions, but suppression at high pT in central Au At LHC suppression persists to higher pT

- A suppression at high pT would indicate suppression of direct J/ψ by the hot medium

- If no suppression then J/ψ forms outside of (or after) the hot plasma. Formation time!

- larger high pT suppression at LHC: can be from smaller x and/or longer lifetime

Zebo Tang (STAR), QM 2011 STAR CuCu: PRC80, 014922(R) PHENIX: PRL98, 232301

Silvestre (CMS), QM 2011


Other Controls

51

ϒpsilon

- Initial state effects not very relevant (mb >> Q2)- Absorption is small in the crossover/hadronic region- No recombination: number of b and bbar is negligible (at RHIC) - Easy to calculate spectral function, but dynamical modeling harder- Ground state can survive at RHIC and be suppressed at LHC ?!

- Y (theoretically) is a much cleaner signal

Reed (STAR), QM 2011

Silvestre (CMS), QM 2011


Summary• The imaginary part of the potential plays a prominent role as a quarkonium dissolution mechanism. • Spectral functions determined with complex potential (with effects of color screening and dissipation) • Microscopic mechanism behind the melting of Jpsi and Upsilon could be quite different

• All signs point towards the melting of Jpsi early on in the plasma phase✴ Even the most binding potential allowed by lattice QCD leads 1S charmonium & excited bottomonium melting by T ≈ 240 MeV and of the 1S bottomonium states for T ≈ 450 MeV ✴ Threshold enhancement has phenomenological consequences

• Dynamical bridging necessary to compare to data - heavy quark diffusion, strength of Q-Qbar correlation, lifetime of deconfined medium

• High pT - clear hot matter signal ?! Y much clearer signal


The Sound of the Little Bangs

illustration: Alex Doig


The Sound of the Little Bangs


The Rise and Fall of the Ridge in Heavy Ion Collisions - Sorensen, Bolliet, Mocsy, Pandit, Puthri, 2011Analyzing the Power Spectrum of the Little Bangs - Mocsy, Sorensen 2011The Sound of the Little Bangs - Mocsy, Sorensen 2010


Ágnes Mócsy with Alex Doig and Paul Sorensen

www.soundofthelittlebang.com

http://www.youtube.com/watch?v=jF8QO3Cou-Q&feature=player_embeddedYouTube Video (~ 4 min) :

http://www.soundofthelittlebang.com


http://www.youtube.com/watch?v=jF8QO3Cou-Q&feature=player_embedded

http://www.youtube.com/watch?v=jF8QO3Cou-Q&feature=player_embedded


Media Attention

55

http://www.newscientist.com/article/dn18998-what-does-the-hottest-matter-ever-made-sound-like.html



Ágnes Mócsy, Pratt Institute, HARD PROBES 2010, Eilat, Israel

Analogy with the Early Universe

We determine the power-spectrum in heavy-ion collisions.


Ágnes Mócsy, Pratt Institute, HARD PROBES 2010, Eilat, Israel

Analogy with the Early Universepicture credits NASA/WMAP Science Team


Quantum fluctuations from the start of the universe that show up as temperature-fluctuations (hotspots) in the CMB.

Power spectrum extracted from CMB.Most power is in l~200 corresponding to small distances.

CMB temperature map: fluctuations ~10-5


http://map.gsfc.nasa.gov/m_mm.html

http://map.gsfc.nasa.gov/m_mm.html




Quantum fluctuations from the start of the universe that show up as temperature-fluctuations (hotspots) in the CMB.

What is the analogy for HIC?




59

! ""#

/ $# r

ef (G

eV/c

)2

%"

0-5%

-2-1

01

2

024

-0.0010

0.0010.0020.0030.0040.0050.0060.007

Au+Au at 200 GeV

Adams, [STAR Collaboration]:J.Phys.G34:S679-684,2007


Correlation Measurements

0.0

0.002

0.004

0.006

! ""#

/ $# r

ef (G

eV/c

)2

%"

0-5%

-2-1

01

2

024

-0.0010

0.0010.0020.0030.0040.0050.0060.007

€

Δρρref

=ρ − ρrefρref

(GeV/c)2

Peak indicates that particles with above average momentum tend to come out together, suggesting they are born out of the same high T lump

pt-pt correlations

illustration: Alex DoigSTAR Collaboration J. Phys. G 32, L37 (2006)

60



61

! ""#

/ $# r

ef (G

eV/c

)2

%"

0-5%

-2-1

01

2

024

-0.0010

0.0010.0020.0030.0040.0050.0060.007

n0 2 4 6 8 100

0.002

0.004

]2 [(GeV/c)na

Au+Au at 200 GeV

Power Spectrum Adams, [STAR Collaboration]:J.Phys.G34:S679-684,2007

Mocsy, Sorenen, 2010


Temperature Fluctuations in HIC

x [fm]-50

5

y [fm] -5

0

5

200

300

400

= 0.6 fm/c!Temperature [MeV]

x [fm]-50

5

y [fm] -5

0

5

170180190200210

= 4.6 fm/c!Temperature [MeV]

HIC analog of the CMB map

Au+Au collisions may initially contain hotspots of ~ 1.5 fm and remnants of these persist

Mocsy, Sorenen, 2010

62


Length Scales and Power Spectrum How much of the initial inhomogeneity is transferred to the final state?

Spherical harmonic expansion of CMB

Fourier expansion of HIC

Higher harmonics probes smaller length-scales.

Efficiency of conversion depends on relation of lmfp to the scale probed at n:

Power spectrum tells the strength transferred into each harmonic n -- ? get lmfp

n=2 n=3 n=4 n=10 n=15

<R> average radial position of participants

sum l

63



lmfp






n=2 n=3 n=4 n=10 n=15


sum l

63



lmfp






n=2 n=3 n=4 n=10 n=15

lmfp


sum l

63


Acoustic Horizon

64

Horizon means long wavelengths cannot be heard at first. Time-ordering of frequencies

Alex Doig 2010Alex Doig

another important lengthscale H = distance density perturbations can travel


Acoustic Horizon

65




Acoustic Horizon

66




Acoustic Horizon

67




The Sound of the Little Bang

www.soundofthelittlebang.comillustration: Alex Doig

68




The End

Quarkonium as Probe of Hot QCD Medium · 2013-01-31 · Ágnes Mócsy, XQCD July 18-20 2011, San...

Documents

Transcript of Quarkonium as Probe of Hot QCD Medium · 2013-01-31 · Ágnes Mócsy, XQCD July 18-20 2011, San...