D meson mass and heavy quark potential at finite temperature

Abstract

Based on the observation that the heavy quark-antiquark potential value at infinity corresponds to twice the D meson mass, we constrain the asymptotic value of the heavy quark potential in a hot medium through a QCD sum rule calculation of the D meson at finite temperature. We find that to correctly reproduce the QCD sum rule results as well as a recent model calculation for the D meson mass near the critical temperature, the heavy quark potential should be composed mostly of the free energy with an addition of a small but nontrivial fraction of the internal energy. Combined with a previous study comparing potential model results for the $J/\psi$ to a QCD sum rule calculation, we conclude that the composition of the effective heavy quark potential should depend on the inter-quark distance. Namely, the potential is dominated by the free energy at short distance, while at larger separation, it has a fraction of about 20% of internal energy.

arXiv comment10 pages, 6 figures, 1 table; published version

References in corpus (34)

• The equation of state in (2+1)-flavor QCD
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• FLAG Review 2019
• Real-time static potential in hot QCD
• Static quark-antiquark pairs at finite temperature
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• Colour Deconfinement and Quarkonium Binding
• Static quark anti-quark free energy and the running coupling at finite temperature
• Complex Heavy-Quark Potential at Finite Temperature from Lattice QCD
• Heavy Quarkonia in Quark-Gluon Plasma
• Heavy Quarkonium in Extreme Conditions
• Mass modification of D-meson at finite density in QCD sum rule
• What QCD sum rules tell about the rho meson
• Open charm in nuclear matter at finite temperature
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Mass modification of D-meson in hot hadronic matter
• Heavy Quark Interactions in Finite Temperature QCD
• Open charm production in relativistic nucleus-nucleus collisions
• Critical behavior of charmonia across the phase transition: A QCD sum rule approach
• A Bayesian approach to QCD sum rules
• D meson mass increase by restoration of chiral symmetry in nuclear matter
• $D$-mesons and charmonium states in hot pion matter
• In-medium operator product expansion for heavy-light-quark pseudoscalar mesons
• Impact of a thermal medium on $D$ mesons and their chiral partners
• Bayesian study of relativistic open and hidden charm in anisotropic lattice QCD
• Realistic in-medium heavy-quark potential from high statistics lattice QCD simulations
• Free energy versus internal energy potential for heavy quark systems at finite temperature
• Properties of open and hidden charm mesons in light quark matter
• The mass of heavy-light mesons in a constituent quark picture with partially restored chiral symmetry
• Wilson coefficients and four-quark condensates in QCD sum rules for medium modifications of $D$ mesons
• Quarkonium Binding and Entropic Force
• Thermal effects on quark-gluon mixed condensate g<\bar{q} σG q> from lattice QCD
• Hadronic molecules with a $\bar{D}$ meson in a medium
• Chiral-partner D mesons in a heat bath within QCD sum rules

Cited by in corpus (5)

• Pseudoscalar and vector open-charm mesons at finite temperature
• ${\eta }_c$-nucleus bound states
• Charmonium production in a thermalizing heat bath
• $J/\psi$ near $T_c$
• Heavy-heavy and heavy-light mesons in cold nuclear matter