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Quarkonia Correlators above Deconfinement. Ágnes Mócsy FIAS & ITP, Frankfurt. * Why interested in quarkonia correlators. * Calculating correlators. * Charm and bottom results - compare to lattice. * What have we learned so far. in collaboration w/ Péter Petreczky. - PowerPoint PPT Presentation
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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
Ágnes Mócsy, Frankfurt
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?