Heavy Quarkonia in Quark-Gluon Plasma

Cheuk-Yin Wong (ORNL & UT)

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Heavy Quarkonia in Quark-Gluon Plasma

Cheuk-Yin Wong (ORNL & UT)

High Energy Physics - Phenomenology · Submitted 2 Aug 2004

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The comparison shows that the model with the new Q-Qbar potential proposed in this manuscript gives dissociation temperatures that agree best with those from spectral function analyses.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.41 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.97 · mentions code or data availability 0.02.

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arXiv listing abstract v4. Results and the main claim are underlined; show every role.

Using the color-singlet free energy F_1 and total internal energy U_1 obtained by Kaczmarek et al. for a static quark Q and an antiquark Qbar in quenched QCD, we study the binding energies and wave functions of heavy quarkonia in a quark-gluon plasma. By minimizing the grand potential in a simplified schematic model, we find that the proper color-singlet Q-Qbar potential can be obtained from the total internal energy U_1 by subtracting the gluon internal energy contributions. We carry out this subtraction in the local energy-density approximation in which the gluon energy density can be related to the local gluon pressure by the quark-gluon plasma equation of state. We find in this approximation that the proper color-singlet Q-Qbar potential is approximately F_1 for T ~ T_c and it changes to (3/4)F_1+(1/4)U_1 at high temperatures. In this potential model, the J/psi is weakly bound above the phase transition temperature T_c, and it dissociates spontaneously above 1.62 T_c, while chi_c and psi' are unbound in the quark-gluon plasma. The bottomium states Upsilon, chi_b and Upsilon' are bound in the quark-gluon plasma and they dissociate at 4.10 T_c, 1.18 T_c, and 1.38 T_c respectively. For comparison, we evaluate the heavy quarkonium binding energies also in other models using the free energy F_1 or the total internal energy U_1 as the Q-Qbar potential. The comparison shows that the model with the new Q-Qbar potential proposed in this manuscript gives dissociation temperatures that agree best with those from spectral function analyses. We evaluate the cross section for sigma(g+J/psi->c+cbar) and its inverse process, in order to determine the J/psi dissociation width and the rate of J/psi production by recombining c and cbar in the quark gluon plasma.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Using the color-singlet free energy F_1 and total internal energy U_1 obtained by Kaczmarek et al. for a static quark Q and an antiquark Qbar in quenched QCD, we study the binding energies and wave functions of heavy quarkonia in a quark-gluon plasma.	method 0.49	0.74	0.03	asserted 0.91
s1	By minimizing the grand potential in a simplified schematic model, we find that the proper color-singlet Q-Qbar potential can be obtained from the total internal energy U_1 by subtracting the gluon internal energy contributions.	method 0.48	0.96	0.24	asserted 1.00
s2	We carry out this subtraction in the local energy-density approximation in which the gluon energy density can be related to the local gluon pressure by the quark-gluon plasma equation of state.	method 0.99	0.86	0.03	asserted 0.97
s3	We find in this approximation that the proper color-singlet Q-Qbar potential is approximately F_1 for T ~ T_c and it changes to (3/4)F_1+(1/4)U_1 at high temperatures.	result 1.00	0.96	0.32	asserted 0.99
s4	In this potential model, the J/psi is weakly bound above the phase transition temperature T_c, and it dissociates spontaneously above 1.62 T_c, while chi_c and psi' are unbound in the quark-gluon plasma.	result 1.00	0.94	0.19	asserted 1.00
s5	The bottomium states Upsilon, chi_b and Upsilon' are bound in the quark-gluon plasma and they dissociate at 4.10 T_c, 1.18 T_c, and 1.38 T_c respectively.	result 1.00	0.93	0.14	asserted 1.00
s6	For comparison, we evaluate the heavy quarkonium binding energies also in other models using the free energy F_1 or the total internal energy U_1 as the Q-Qbar potential.	method 0.76	0.93	0.04	asserted 0.93
s7	The comparison shows that the model with the new Q-Qbar potential proposed in this manuscript gives dissociation temperatures that agree best with those from spectral function analyses.	result 0.83	0.92	0.54	asserted 1.00
s8	We evaluate the cross section for sigma(g+J/psi->c+cbar) and its inverse process, in order to determine the J/psi dissociation width and the rate of J/psi production by recombining c and cbar in the quark gluon plasma.	method 0.62	0.94	0.05	asserted 0.96

What kind of paper the classifier reports this is: theoretical result 0.94 · evidence from simulation or computation 0.78.

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The paper

Original abstract

Using the color-singlet free energy F_1 and total internal energy U_1 obtained by Kaczmarek et al. for a static quark Q and an antiquark Qbar in quenched QCD, we study the binding energies and wave functions of heavy quarkonia in a quark-gluon plasma. By minimizing the grand potential in a simplified schematic model, we find that the proper color-singlet Q-Qbar potential can be obtained from the total internal energy U_1 by subtracting the gluon internal energy contributions. We carry out this subtraction in the local energy-density approximation in which the gluon energy density can be related to the local gluon pressure by the quark-gluon plasma equation of state. We find in this approximation that the proper color-singlet Q-Qbar potential is approximately F_1 for T ~ T_c and it changes to (3/4)F_1+(1/4)U_1 at high temperatures. In this potential model, the J/psi is weakly bound above the phase transition temperature T_c, and it dissociates spontaneously above 1.62 T_c, while chi_c and psi' are unbound in the quark-gluon plasma. The bottomium states Upsilon, chi_b and Upsilon' are bound in the quark-gluon plasma and they dissociate at 4.10 T_c, 1.18 T_c, and 1.38 T_c respectively. For comparison, we evaluate the heavy quarkonium binding energies also in other models using the free energy F_1 or the total internal energy U_1 as the Q-Qbar potential. The comparison shows that the model with the new Q-Qbar potential proposed in this manuscript gives dissociation temperatures that agree best with those from spectral function analyses. We evaluate the cross section for sigma(g+J/psi->c+cbar) and its inverse process, in order to determine the J/psi dissociation width and the rate of J/psi production by recombining c and cbar in the quark gluon plasma.

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References

Forward citations

Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Emergence, Formation and Dynamics of Hot QCD Matter
hep-ph 2024-12 conditional novelty 7.0 of 10

A doctoral thesis deriving the QCD correlation functions that control quarkonium dissociation and recombination in the quark-gluon plasma, and showing that hydrodynamization in a simplified QCD kinetic theory matches ...
Suppression of Upsilon excited states in PbPb collisions at a nucleon-nucleon centre-of-mass energy of 2.76 TeV
nucl-ex 2011-05 accept novelty 7.0 of 10

The Υ(2S+3S)/Υ(1S) yield ratio in PbPb collisions is 0.31 times its value in pp collisions at 2.76 TeV, a 2.4-sigma indication that excited bottomonium states are suppressed in the hot medium.
Can quarkonia survive deconfinement ?
hep-ph 2007-05 conditional novelty 6.0 of 10

Screened-potential spectral functions dissolve all quarkonia except 1S bottomonium below 1.5 Tc while still reproducing lattice correlators, because threshold enhancement and a zero-mode term mimic the missing peaks.
Thermal Bottomonium Suppression at RHIC and LHC
nucl-th 2011-12 conditional novelty 5.0 of 10

Bottomonium suppression data from RHIC and LHC are consistent with a shear-viscosity-to-entropy ratio between 0.08 and 0.24, provided the heavy-quark potential is taken from the internal energy rather than the free energy.
Thermal width and gluo-dissociation of quarkonium in pNRQCD
hep-ph 2011-09 accept novelty 5.0 of 10

The pNRQCD singlet-to-octet break-up width reproduces the phenomenological gluo-dissociation width at leading order, and adding the colour-octet potential changes the Bhanot-Peskin cross section by up to roughly 20 percent.

Show 5 more citing papers

Quarkonium states in a complex-valued potential
hep-ph 2011-01 conditional novelty 5.0 of 10

Including the imaginary part of the heavy-quark potential raises the predicted quarkonium disassociation temperatures and produces a roughly 60 MeV anisotropy-induced splitting of the chi_b p-wave states.
Static quark anti-quark interactions in zero and finite temperature QCD. I. Heavy quark free energies, running coupling and quarkonium binding
hep-lat 2005-03 conditional novelty 5.0 of 10

In two-flavor lattice QCD the heavy-quark free energy and running coupling show medium modifications setting in at roughly twice the Debye screening radius, implying chi_c and psi' melt near the crossover while J/psi ...
On Charmonia Survival Above Deconfinement
hep-lat 2006-03 conditional novelty 4.0 of 10

Lattice QCD evidence that 1S charmonia survive to 1.5Tc while 1P charmonia dissolve at 1.16Tc, confirming earlier results with anisotropic lattices.
Gauge/String Duality, Hot QCD and Heavy Ion Collisions
hep-th 2011-01 accept novelty 2.0 of 10

The review synthesizes a decade of work showing that strongly coupled plasma calculations from gauge/string duality give a coherent, quantitatively useful picture of hot QCD matter and heavy ion observables.
Charm and Beauty in a Hot Environment
hep-ph 2006-02 conditional novelty 2.0 of 10

Quarkonium states melt sequentially with temperature, so their survival pattern can be used to measure the temperature of the quark-gluon plasma.

How the literature uses it

27 arXiv papers cite this in 40 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 22 sentences without a confident label

Contests it 1 paper

In particular, we find that $1S$ charmonium state dissolves at a temperature below $1.5T_c$, contrary to the statements made in the literature based on different potential model analysis [ref] as well as on the analysis of lattice spectral functions [ref] .

Can quarkonia survive deconfinement ? · Discussion and Conclusions · contest 0.87

Uses its data or values 2 papers

We will use the Coulomb wave function, whose size have been fitted to reproduce the result obtained by Wong [ref] , using a potential extracted from lattice gauge thermodynamical quantities.

The widths of quarkonia in quark gluon plasma · Introduction · 0.81
The binding energy of a $J/ψ$ in QGP is obtained by solving the Schrödinger equation with a potential extracted from the lattice data, from which we find that it varies from 36.4 MeV to few KeV as the temperature changes from 1.13 $T_c$ to 1.65 $T_c$ [ref] .

The thermal width of heavy quarkonia moving in quark gluon plasma · The thermal width of moving $J/ψ$ and $Υ$ in QGP · 0.89

Cites it as support 1 paper

Actually some model studies demonstrate such a situation [ref] .

Charmonium ground and excited states at finite temperature from complex Borel sum rules · Introduction · 0.98

Cites it as background 12 papers

So far, such calculations have been limited to dissociation processes by gluons to the lowest order (LO) [ref] , because the elementary $J/ψ$-parton dissociation cross section was available only to that order [ref] , and to part of the next-to-leading-order (NLO) in the quasi free approximation [ref] .

The widths of quarkonia in quark gluon plasma · Introduction · 0.86
While in these works phenomenological potentials have been used, more recent studies went one step further and attempted to connect the potential to lattice calculations of the finite temperature free energy of a static quark antiquark pair [ref] .

Can quarkonia survive deconfinement ? · introduction · 0.84
The combination of both was also suggested as the heavy quark potential [ref] .

Heavy quark potential and thermal charm production in heavy-ion collisions · Thermal production rate · 0.93

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