Ágnes Mócsy Ágnes Mócsy QWG Meeting BNL June 27-30 06 QWG Meeting BNL June 27-30 06 1 Quarkonia above Quarkonia above Deconfinement Deconfinement and Potential Models and Potential Models Ágnes Mócsy Ágnes Mócsy QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture.
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Quarkonia above Deconfinement and Potential Models
Quarkonia above Deconfinement and Potential Models. Ágnes Mócsy. potential models vs lattice QCD some features of quarkonia spectral functions agree BUT there are unreconciled inconsistencies 1st analysis of correlators from potential models our attempts to understand the discrepancies. - PowerPoint PPT Presentation
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Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
44since 2004 from QCDsince 2004 from QCDsince 2004 from QCDsince 2004 from QCD
correlationcorrelation functions of hadronic currentsfunctions of hadronic currents reliably calculated reliably calculated
spectral function spectral function ((,T),T)
€
G τ ,T( )Grecon τ ,T( )
=σ ω,T( )K τ ,ω,T( )dω∫
σ ω,T = 0( )K τ ,ω,T( )dω∫
also: T. Umedaalso: T. UmedaT. Hatsuda, M. AsakawaT. Hatsuda, M. Asakawa
S. Datta et al 2004S. Datta et al 20041P charmonium is gone at 1.16T1P charmonium is gone at 1.16Tcc
P. Petreczky et al 2006P. Petreczky et al 2006
M E MM E M
€
=1⇒ σ (ω,T) = σ (ω,T = 0)
c0c0
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
55from from from from
1S charmonium survives 1S charmonium survives
up to 1.5Tup to 1.5Tcc
correlatorcorrelator spectral function spectral function
does not changedoes not change spectral function spectral function properties properties do not changedo not changecontradiction with early potential model predictionscontradiction with early potential model predictions
S. Datta et al 2004S. Datta et al 2004
cc
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
66
At what temperature do heavy quark bound At what temperature do heavy quark bound
states disappear? states disappear?
Can modification of quarkonia properties Can modification of quarkonia properties
be understood via a temperature-dependent be understood via a temperature-dependent
screened potential? screened potential?
If yes, what is the potential? If yes, what is the potential?
If not, how can we explain quarkonium If not, how can we explain quarkonium
dissociation? What is the mechanism behind dissociation? What is the mechanism behind
quarkonia melting? quarkonia melting?
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
77potential MODELpotential MODELpotential MODELpotential MODEL
heavy Q-heavy Q-Q interactions are mediated by a potentialQ interactions are mediated by a potential
confinedconfined
deconfineddeconfinedJ/
r
V(r)V( )
ar r
r=− + T = T =
00
T > TT > Tcc
( ) ( ) ( )2
2 2
110
dV r E u r
m dr mr
+⎛ ⎞− + + − =⎜ ⎟⎝ ⎠
l l( ) ( )u r
R rr
=
success for spectroscopysuccess for spectroscopylattice confirmedlattice confirmedobtainable from QCDobtainable from QCD
we don’t knowwe don’t know
assume a temperature-dependent potential V(r,T) assume a temperature-dependent potential V(r,T)
& solve Schrödinger’s equation to obtain properties of Q& solve Schrödinger’s equation to obtain properties of QQQ
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
cc correlator does not agree with lattice correlator does not agree with lattice
increase due to continuum, decrease due to amplitude reductionincrease due to continuum, decrease due to amplitude reduction
correlator implies change in spectral functioncorrelator implies change in spectral function
disagrees with lattice disagrees with lattice
feature for all screened potentialsfeature for all screened potentials
ÁM, P. Petreczky ÁM, P. Petreczky 20052005
S. Datta et al S. Datta et al 20042004
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1212
no assumption for spectral function neededno assumption for spectral function needed
drastic change in 1S mass & amplitudedrastic change in 1S mass & amplitude
inconsistent with latticeinconsistent with lattice
even though 1S survives the spectral function is even though 1S survives the spectral function is strongly modifiedstrongly modifiedII. nonrelativistic Green’s II. nonrelativistic Green’s
functionfunctionII. nonrelativistic Green’s II. nonrelativistic Green’s
functionfunction
lattice internal energy
S-waveS-wave
A. Jakovác et al A. Jakovác et al 20062006ÁM, P. Petreczky, J. Casalderrey-ÁM, P. Petreczky, J. Casalderrey-
Solana, in prep.Solana, in prep.
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1515the toy modelthe toy modelthe toy modelthe toy model
cc
c0c0
choice of schoice of s0 0 can reproduce lattice correlatorscan reproduce lattice correlators
cc unchanged & unchanged & c0 c0 increased increased
compensate for the melting of higher excited states compensate for the melting of higher excited states above Tabove Tcc with the decrease of the threshold with the decrease of the threshold
ÁM 2006ÁM 2006
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1616with nonrelativistic with nonrelativistic
Green’s fct.Green’s fct.with nonrelativistic with nonrelativistic
Green’s fct.Green’s fct.
maybe works BUT note: “screened” not maybe works BUT note: “screened” not screened screened
screening might not be the mechanism screening might not be the mechanism governing quarkonia melting governing quarkonia melting ttscreeningscreening>t>tQQQQ
ÁM, P. Petreczky, J. Casalderrey-ÁM, P. Petreczky, J. Casalderrey-Solana, in prep.Solana, in prep.
“screened” Cornell potential
Ágnes MócsyÁgnes Mócsy QWG Meeting BNL June 27-30 06QWG Meeting BNL June 27-30 06
1717conclusionconclusionconclusionconclusion
temperature-dependent screened potentials have temperature-dependent screened potentials have problems even though 1S can survive and 1P melts problems even though 1S can survive and 1P melts
two different analysis of spectral functions and two different analysis of spectral functions and correlators not consistent with lattice QCDcorrelators not consistent with lattice QCD
medium modification cannot be described by a medium modification cannot be described by a simple Debye screening picture simple Debye screening picture