Ágnes MócsyFIAS & ITP, Frankfurt

Quarkonia Correlators above Deconfinement

* Calculating correlators

* Why interested in quarkonia correlators

* Charm and bottom results - compare to lattice

* What have we learned so far

in collaboration w/ Péter Petreczky

Matsui,Satz ‘86* Screening prevents J/ binding above Tc

* Sequential dissolution

higher excitations melt earlier Karsch, Mehr, Satz ‘88

color screening length < size of resonance

* J/ disappears at 1.1Tc in potential model

Digal, Petreczky, Satz ‘01

Why interested in quarkonia

Ágnes Mócsy, Frankfurt

Asakawa, Hatsuda ‘04

Umeda;

Datta, Karsch, Petreczky, Wetzorke ‘04

c0, c

1 dissolve ~ 1.1Tc

J/ melts abruptly at 1.6Tc < T < 1.9Tc

b unchanged ~ 2Tc & b at ~ 1.15 Tc

* From the lattice

Petrov, Petreczky QM05

J/, c survive ~ 1.5Tc & gradually melt by ~ 3Tc

+ masses don’t change

Can quarkonia exist as resonances above deconfinement ?

Euclidean correlator measured on the lattice

†,T 0G j j

Spectral function reconstructed on lattice w/ MEM OR model input

deviation from 1 suggests medium effects

,T , ,T,TG d K ,T , ,T,T=0reconG d K

Ágnes Mócsy, Frankfurt

Why the c and J/ behave different?

And why is the b different?

Petrov, Petreczky QM05

Datta, Karsch, Petreczky, Wetzorke ‘04

c

J/

- significant deviations ~ 3Tc

- deviations ~ 1.5Tc

- drastic change ~ 1.15Tc

although same size as c

Ágnes Mócsy, Frankfurt

,T , ,T,TG d K

resonances continuum

bound state mass

decay constant

threshold

from

Mi = 2m + Ei

Ei binding energy

2

2'

0

0

S

Pi

iR

R

2iF

Calculating correlators

20

2 22 ( )T T TTi iii

f sMFM ,T

2

2 2

110

dV r E u r

m dr mr

u rR r

r

What potential V(r) ?

radial wave function in origin

perturbative

Ágnes Mócsy, Frankfurt

Kaczmarek et al ‘03

T = 0 V( )a

r rr

Success

T 0

singlet free energy + entropy

= 0.192 GeV2

coupling a = 0.471

string tension

* Screened Cornell potential

* Fitting lattice internal energy

2 2 2

V ,T 1r r rr e r e C er

T TV ,T 1

Tr ra

r e er

cT 0.24 0.31 T/T 1 GeV AM, Petreczky ‘04

Ágnes Mócsy, Frankfurt

We don’t know.

Karsch, Mehr, Satz ‘88

20

2 22 ( )T T TTi iii

f sMFM ,T

resonances continuum

diffusion/charge

fluctuations

threshold

T=0: energy above which no clear resonance observed experimentally

in vector channel

s0 (T) = 2mq(T)

T 0: above which q travel freely with mass mq(T)

asymptotic value V1(T)

thermal energy for the qq pair

q ,m (T) m V (T) / 2c b

static susceptibility

Ágnes Mócsy, Frankfurt

T1 3

mTs

Petreczky, Teaney 05AM, Petreczky, in prep.

Talk by P. Petreczky

Don’t change substantially,except the \chic

Masses Amplitudes

Strong drop

Results

Ágnes Mócsy, Frankfurt

Bottomonia survives to higher T than charmonia

Radii

co melts early

b approximately same size as c

Ágnes Mócsy, Frankfurt

Charmonium 1P scalar c0 properties modified

~1.1Tc

Qualitative agreement w/ latticeDatta et al ‘04

Correlator enhanced even thoughc0 state becomes negligible

Enhancement due to thermal shift of the continuum threshold

Ágnes Mócsy, FrankfurtThe form of the continuum matters

20 Ts

0202

T1 Ts

s

sharp

smooth

Contribution from continuum due to threshold reduction

Charmonium 1S pseudoscalar

Moderate increase in correlator at around 0.1 fm

No change in lattice correlator

Datta et al ‘04

Ágnes Mócsy, FrankfurtForm of continuum does not matter

sharpsmooth

Shifted continuum dominant in scalar correlator

Qualitatively similar behavior as for c, even though b survives until much higher T than c

Bottomonium 1P scalar

Significant modification at ~ 1.13 Tc

Size of b ' size of c

Ágnes Mócsy, Frankfurt

Petrov,Petreczky QM05

sharpsmooth

Drop at large \tau in pseudoscalar due to amplitude reduction

Bottomonium 1S pseudoscalar

Ágnes Mócsy, Frankfurt

Petrov, Petreczky, QM05

Diffusion/fluctuation effects make the J/ correlator smaller than the c

Charmonium 1S vector

Ágnes Mócsy, Frankfurt

With the lattice fitted potential:

potential changes BUT results qualitatively not

Ágnes Mócsy, Frankfurt

10-20 % more drop in the pseudoscalar correlator due to melting of the 2S state

Not yet detected on lattice.

Charmonium 1S vs 1S+2S pseudoscalar

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10-20% more drop in the pseudoscalar correlator due to melting of the 2S and 3S states

Bottomonium 1S vs 1S+2S+3S pseudoscalar

Ágnes Mócsy, Frankfurt

Summary

Ágnes Mócsy, Frankfurt

Quarkonia melting at Tc - proposed sign for deconfinement challenged by lattice data – some quarkonia survives well above Tc

Increase in correlators – due to threshold decrease lattice doesn’t see

Tested w/ different potentials – no qualitative changes in the T-dependence of the correlators

First analysis of quarkonia correlators in potential model

Can medium effects on heavy quark boundstates be described by potential models?

T-dependence of the correlators not in agreement with the lattice

Do we miss some physics on the lattice?