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Can Quarkonia Survive Deconfinement?. Ágnes Mócsy. what motivated this work our approach to determine quarkonium properties quarkonia in a gluon plasma quarkonia in a quark-gluon plasma upper limits on dissociation temperatures. Á. Mócsy, P. Petreczky arXiv: 0705.2559 [hep-ph] - PowerPoint PPT Presentation
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Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
1
Can Quarkonia Survive Can Quarkonia Survive Deconfinement? Deconfinement?
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Ágnes Mócsy
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Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
2Content of This TalkContent of This TalkContent of This TalkContent of This Talk
• what motivated this work
• our approach to determine quarkonium
properties
• quarkonia in a gluon plasma
• quarkonia in a quark-gluon plasma
• upper limits on dissociation temperatures
Á. Mócsy, P. Petreczky arXiv: 0705.2559 [hep-ph] arXiv: 0706.2183 [hep-ph]
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
4IntroductionIntroductionIntroductionIntroduction
Quarkonium properties at high T interesting
• proposed signal of deconfinement Matsui,Satz, PLB 86
• matter thermometer ?!
Karsch,Mehr,Satz, ZPhysC 88
• bound states in deconfined medium ?! Shuryak,Zahed PRD 04
Quarkonium properties at high T interesting
• proposed signal of deconfinement Matsui,Satz, PLB 86
• matter thermometer ?!
Karsch,Mehr,Satz, ZPhysC 88
• bound states in deconfined medium ?! Shuryak,Zahed PRD 04Need to calculate quarkonium spectral function
• quarkonium well defined at T=0, but can broaden at finite T
• spectral function contains all information about a given channel unified treatment of bound states, threshold, continuum
• can be related to experiments
Need to calculate quarkonium spectral function
• quarkonium well defined at T=0, but can broaden at finite T
• spectral function contains all information about a given channel unified treatment of bound states, threshold, continuum
• can be related to experiments
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
5““J/J/ survival” in LQCD survival” in LQCD ““J/J/ survival” in LQCD survival” in LQCD
Conclusions drawn from analysis of lattice data were
• J/ and c survive up to 2 Tc “quarkonium
survival”
• c melts by 1.1 Tc
based on (un)modifications of G/Grec and spectral functions from MEM
Conclusions drawn from analysis of lattice data were
• J/ and c survive up to 2 Tc “quarkonium
survival”
• c melts by 1.1 Tc
based on (un)modifications of G/Grec and spectral functions from MEM
Datta et al PRD 04
cc
Datta et al PRD 04
Asakawa, Hatsuda, PRL 04
Datta et al PRD 04
Jakovác, et al, PRD 07
Aarts et al hep-lat/0705.2198
Spectral Functions
Correlators
see talk by Péter Petreczky
extracted fromextracted from
€
G τ ,T( ) = σ ω,T( )K τ ,ω,T( )dω∫
€
G τ ,T( ) = σ ω,T( )K τ ,ω,T( )dω∫
€
G τ ,r p ,T( ) = d3∫ xe i
r p
r x jH τ ,
r x ( ) jH
+ 0,r 0 ( )
€
G τ ,r p ,T( ) = d3∫ xe i
r p
r x jH τ ,
r x ( ) jH
+ 0,r 0 ( )
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
6““J/J/ survival” in Potential survival” in Potential
ModelsModels““J/J/ survival” in Potential survival” in Potential
ModelsModels
Shuryak,Zahed PRD 04Wong, PRC 05Alberico et al PRD 05Cabrera, Rapp 06 Alberico et al PRD 07Wong,Crater PRD 07
series of potential model studies
Conclusions
• states survive
• dissociation temperatures quoted
• agreement with lattice is claimed
Conclusions
• states survive
• dissociation temperatures quoted
• agreement with lattice is claimed
Wong,Crater, PRD 07
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
7First Indication of First Indication of
InconsistencyInconsistencyFirst Indication of First Indication of
InconsistencyInconsistency
use a simplified model: discrete bound states + perturbative continuum
What is the source of these inconsistencies?
validity of potential models?
finding the right potential?
relevance of screening for quarkonia
dissociation?
€
c
Mócsy,Petreczky EJPC 05 PRD 06
model lattice
€
c
it is not enough to have “surviving state”
correlators calculated in this approach do not agree with lattice
it is not enough to have “surviving state”
correlators calculated in this approach do not agree with lattice
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
9Spectral Function Spectral Function Spectral Function Spectral Function
bound states/resonances & continuum above threshold
(GeV)
€
−1
m∇ 2 + V (
r r ) + E
⎡ ⎣ ⎢
⎤ ⎦ ⎥G
NR (r r ,
r r ',E) = δ 3(
r r −
r r ')
nonrelativistic Green’s function
~ MJ/ , s0 nonrelativistic
€
σ E( ) =2Nc
πImGNR r
r ,r r ',E( ) r
r =r r '= 0
€
σ E( ) =2Nc
π
1
m2
r ∇ ⋅
r ∇'ImGNR r
r ,r r ',E( ) r
r =r r '= 0
S-wave
P-wave
medium effects - important near threshold
PDG 06
re-sum ladder diagrams first in vector channel Strassler,Peskin PRD 91 also Casalderrey-Solana,Shuryak 04
S-wave also Cabrera,Rapp 07
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
10Spectral FunctionSpectral FunctionSpectral FunctionSpectral Function
€
σ pert ≅ω2 3
8π1+
11
3πα s
⎛
⎝ ⎜
⎞
⎠ ⎟
+
s0
perturbative
bound states/resonances & continuum above threshold
(GeV)
€
σ ∝1
πImGNR
€
−1
m∇ 2 + V (
r r ) + E
⎡ ⎣ ⎢
⎤ ⎦ ⎥G
NR (r r ,
r r ',E) = δ 3(
r r −
r r ')
nonrelativistic Green’s function
~ MJ/ , s0 nonrelativistic
PDG 06PDG 06
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
11Spectral FunctionSpectral FunctionSpectral FunctionSpectral Function
Unified treatment: bound states, threshold effects together with relativistic perturbative continuumUnified treatment: bound states, threshold effects together with relativistic perturbative continuum
bound states/resonances & continuum above threshold
(GeV)
+
s0
perturbative ~ MJ/ , s0 nonrelativistic
smooth matchingdetails do not influence the result
€
−1
m∇ 2 + V (
r r ) + E
⎡ ⎣ ⎢
⎤ ⎦ ⎥G
NR (r r ,
r r ',E) = δ 3(
r r −
r r ')
nonrelativistic Green’s function + pQCDnonrelativistic Green’s function + pQCD
PDG 06
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
12Potential at T=0 Potential at T=0 Potential at T=0 Potential at T=0
V( )a
r rr
σ=− +
T0 hierarchy of energy scales
QCDQCD
NRQCDNRQCD
pNRQCDpNRQCD
potential modelpotential model
mvmv22
mv mv
mm
T=0 potential can be derivedT=0 potential can be derived
Brambilla et al, CERN Yellow Report 05
Cornell potential Cornell potential
• describes quarkonium spectra• confirmed on lattice
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
13
no temperature effects
Constructing the Potential Constructing the Potential at T>Tat T>Tcc
Constructing the Potential Constructing the Potential at T>Tat T>Tcc
Potential assumed to share general features with the free energy
€
V∞ T( ) = rmed T( )σ > F1∞(T)
€
V r,T( ) = −α
r+ rσ
also motivated by Megías,Arriola,Salcedo PRD07
€
r < rmed
€
r > rmed
€
V r,T( ) = V∞ T( ) −α 1 T( )
re−μ T( )r
strong screening effects
Free energy - contains negative entropy contribution - provides a lower limit for the potential
see talk by Péter Petreczky
T>0 potential is unknownuse a phenomenological potential constrained by lattice data
T>0 potential is unknownuse a phenomenological potential constrained by lattice data
subtract entropy
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
15S-wave Charmonium in Gluon S-wave Charmonium in Gluon
PlasmaPlasmaS-wave Charmonium in Gluon S-wave Charmonium in Gluon
PlasmaPlasma
• resonance-like structures disappear already by 1.2Tc
• strong threshold enhancement
• contradicts previous claims
• resonance-like structures disappear already by 1.2Tc
• strong threshold enhancement
• contradicts previous claims
higher excited states gonecontinuum shifted1S becomes a threshold enhancement
lattice
Jakovác,Petreczky,Petrov,Velytsky, PRD07
c
Mócsy, Petreczky 0705.2559 [hep-ph]
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
16S-wave Charmonium in Gluon S-wave Charmonium in Gluon
PlasmaPlasmaS-wave Charmonium in Gluon S-wave Charmonium in Gluon
PlasmaPlasma
• resonance-like structures disappear already by 1.2Tc
• strong threshold enhancement above free case indication of correlation
• height of bump in lattice and model are similar
• resonance-like structures disappear already by 1.2Tc
• strong threshold enhancement above free case indication of correlation
• height of bump in lattice and model are similar
details cannot be resolveddetails cannot be resolved
Mócsy, Petreczky 0705.2559 [hep-ph]
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
17S-wave Charmonium in Gluon S-wave Charmonium in Gluon
PlasmaPlasmaS-wave Charmonium in Gluon S-wave Charmonium in Gluon
PlasmaPlasma
Mócsy, Petreczky 0705.2559 [hep-ph]
€
G τ ,T( ) = σ ω,T( )K τ ,ω,T( )dω∫
€
Grec τ ,T( ) = dωσ ω,T = 0( )∫ K ω,τ ,T( )
spectral function unchanged across deconfinement
€
G(τ ,T)
Grec (τ ,T)=1
LQCD measures correlators LQCD measures correlators
N.B.: 1st time2% agreement between model and lattice correlators for all states at T=0 and T>Tc
Unchanged LQCD correlators do not imply quarkonia survival: Lattice data consistent with charmonium dissolution just above Tc
N.B.: 1st time2% agreement between model and lattice correlators for all states at T=0 and T>Tc
Unchanged LQCD correlators do not imply quarkonia survival: Lattice data consistent with charmonium dissolution just above Tc
or… integrated area under spectral function unchanged
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
19S-wave Quarkonium in QGPS-wave Quarkonium in QGPS-wave Quarkonium in QGPS-wave Quarkonium in QGP
• J/, c at 1.1Tc is just a threshold enhancement
• (1S) survives up to ~2Tc with unchanged peak position, but reduced binding energy
• Strong enhancement in threshold region - Q and antiQ remain correlated
• J/, c at 1.1Tc is just a threshold enhancement
• (1S) survives up to ~2Tc with unchanged peak position, but reduced binding energy
• Strong enhancement in threshold region - Q and antiQ remain correlated
€
Ebin = s0 − M
c
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
21Most Binding PotentialMost Binding PotentialMost Binding PotentialMost Binding Potential
need strongest confining effects = largest possible rmed
Find upper limit for binding Find upper limit for binding
rmed = distance where exponential screening
sets in
NOTE: uncertainty in potential - have a choice for rmed or V∞
our choices physically motivated all yield agreement with correlator data
distance where deviation from T=0 potential starts
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
22Binding Energy Upper LimitsBinding Energy Upper LimitsBinding Energy Upper LimitsBinding Energy Upper Limits
Upsilon remains strongly bound up to 1.6Tc
Other states are weakly bound above 1.2Tc
Upsilon remains strongly bound up to 1.6Tc
Other states are weakly bound above 1.2Tc
€
Ebin < Tweak binding
When binding energy drops below T• state is weakly bound• thermal fluctuations can destroy the resonance
€
Ebin > Tstrong binding
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
23
for weak binding Ebin<T
for strong binding Ebin>T
Thermal Dissociation Widths Thermal Dissociation Widths Thermal Dissociation Widths Thermal Dissociation Widths
Rate of escape into the continuum due to thermal activation = thermal width related to the binding energy
€
Ebin = s0 − MQQ
€
=LT( )
2m
3πexp −
Ebin
T
⎛
⎝ ⎜
⎞
⎠ ⎟
€
=4
L
T
2πm
€
L ≈ rmed − rQQ
Kharzeev, McLerran, Satz PLB 95
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
24Can Quarkonia Survive? Can Quarkonia Survive?
Upper bounds on dissociation temperatures
condition: thermal width > 2x binding energy
Upper bounds on dissociation temperatures
condition: thermal width > 2x binding energy
Ágnes Mócsy - RBRC SQM @ Levoca 06 28 07
25ConclusionsConclusionsConclusionsConclusions
Quarkonium spectral functions can be calculated within a potential model with screening - description of quarkonium dissociation at high T
Lattice correlators have been explained correctly for the 1st time
Unchanged correlators do not imply quarkonia survival: lattice data consistent with charmonium dissolution just above Tc
Contrary to previous statements, we find that all states except and b are dissolved by at most 1.3 Tc
Threshold enhancement found: spectral function enhanced over free propagation =>> correlations between Q-antiQ may remain strong
OutlookOutlook
Implications for heavy-ion phenomenology need to be considered