Free energy versus internal energy potential for heavy quark systems at finite temperature

Abstract

Using the QCD sum rule with its operator product expansion reliably estimated from lattice calculations for the pressure and energy density of the quark-gluon plasma, we calculate the strength of the wave function of J/psi at the origin and find that it decreases with temperature above the transition temperature. This result is shown to follow exactly that obtained from the solution of the Schrödingier equation for a charm and anticharm quark pair using the free energy from lattice calculations as the potential and is in sharp contrast to that using the deeper potential associated with the internal energy, which shows an enhanced strength of the J/psi wave function at the origin. Our result thus has resolved the long-standing question of whether the free energy potential or the internal energy potential should be used in analyzing the spectrum of heavy quark systems at finite temperature.

4 pages, 4 figures, added comments and references

References in corpus (8)

• Charmonium
• Color Screening Melts Quarkonium
• Charmonium properties in hot quenched lattice QCD
• Quarkonium states in an anisotropic QCD plasma
• Mass Shift and Width Broadening of J/psi in hot gluonic plasma from QCD Sum Rules
• Critical behavior of charmonia across the phase transition: A QCD sum rule approach
• Disentangling the timescales behind the non-perturbative heavy quark potential
• ALICE results on quarkonia

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• An overview of the experimental study of quark-gluon matter in high-energy nucleus-nucleus collisions
• Quarkonium propagation in the quark gluon plasma
• Quarkonium formation time in relativistic heavy-ion collisions
• Heavy flavor dissociation in the framework of multi-body Dirac equations
• D meson mass and heavy quark potential at finite temperature
• Temperature-dependent cross sections for charmonium dissociation in collisions with kaons and eta mesons in hadronic matter
• Experimental results and phenomenology of quarkonium production in relativistic nuclear collisions
• Charmonium Production with QGP and Hadron Gas Effects at SPS and FAIR
• Charmonium production in a thermalizing heat bath
• Cross sections for inelastic meson-meson scattering
• Renormalization of dimension 6 gluon operators
• Dissociation of large transverse-momentum prompt J/psi produced in Pb-Pb collisions at the LHC
• $J/\psi$ near $T_c$
• Wilson coefficients of dimension 6 gluon operators with spin indices in the heavy quark current correlation functions
• Confinement of Fermions in Tachyon Matter at Finite Temperature