Heavy quarkonium correlators at finite temperature: QCD sum rule approach

Abstract

We investigate the properties of heavy quarkonia at finite temperature in detail using QCD sum rules. Extending previous analyses, we take into account a temperature dependent effective continuum threshold and derive constraints on the mass, the width, and the varying effective continuum threshold. We find that at least one of these quantities of a charmonium changes abruptly in the vicinity of the phase transition. We also calculate the ratio of the imaginary time correlator to its reconstructed one, $G/G_{\text{rec}}$, by constructing a model spectral function and compare it to the corresponding lattice QCD results. We demonstrate that the almost constant unity of $G/G_{\text{rec}}$ can be obtained from the destructive interplay of the changes in each part of the spectral modification which are extracted from QCD sum rules.

Revised version to appear in PRD. 31 pages, 31 figures. Title is changed

References in corpus (19)

• Static quark-antiquark pairs at finite temperature
• Color Screening Melts Quarkonium
• Quarkonium correlators and spectral functions at zero and finite temperature
• Can quarkonia survive deconfinement ?
• A resummed perturbative estimate for the quarkonium spectral function in hot QCD
• Constant contribution in meson correlators at finite temperature
• T-Matrix Approach to Quarkonium Correlation Functions in the QGP
• Mass Shift and Width Broadening of J/psi in hot gluonic plasma from QCD Sum Rules
• Finite-temperature spectral function of the vector mesons in an AdS/QCD model
• Potential Models for Quarkonia
• Critical behavior of charmonia across the phase transition: A QCD sum rule approach
• Heavy quarkonium in a holographic QCD model
• Potential models and lattice correlators for quarkonia at finite temperature
• Width of exotics from QCD sum rules : tetraquarks or molecules?
• Heavy quark medium polarization at next-to-leading order
• Sigma meson in pole-dominated QCD sum rules
• Heavy-light quark pseudoscalar and vector mesons at finite temperature
• Properties of $J/\psi$ at $T_c$: QCD second-order Stark effect
• In-medium modification of P-wave charmonia from QCD sum rules

Cited by in corpus (35)

• Quarkonia in the Quark Gluon Plasma
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• D mesons in a magnetic field
• QCD sum rules for magnetically induced mixing between ${\eta }_c$ and $J/\psi$
• Measurement of ${\rm Y}$(1S+2S+3S) production in $p$$+$$p$ and Au$+$Au collisions at $\sqrt{s_{{}_{NN}}}=200$ GeV
• Charmonium spectra at finite temperature from QCD sum rules with the maximum entropy method
• Thermal quarkonium physics in the pseudoscalar channel
• Bottomonium Continuous Production from Unequilibrium Bottom Quarks in Ultrarelativistic Heavy Ion Collisions
• Investigation of heavy-heavy pseudoscalar mesons in thermal QCD Sum Rules
• Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method
• Charmonium mass in hot and dense hadronic matter
• An overview of experimental results from ultra-relativistic heavy-ion collisions at the CERN LHC: hard probes
• Massive vector current correlator in thermal QCD
• Free energy versus internal energy potential for heavy quark systems at finite temperature
• Thermal QCD Sum Rules Study of Vector Charmonium and Bottomonium States
• Heavy quarkonia in a bulk viscous medium
• Flavor Dependence of Meson Melting Temperature in Relativistic Potential Model
• Mean Field Effect on J/ψProduction in Heavy Ion Collisions
• $B^{\ast }{B}^{\ast }\rho$ vertex from QCD sum rules
• Vector meson spectral function in a dynamical AdS/QCD model
• Thermal Mass Spectra of Vector and Axial-Vector Mesons in Predictive Soft-Wall AdS/QCD Model
• Charmonia and Bottomonia in asymmetric magnetized hot nuclear matter
• Thermal properties of $D_2^{\ast }(2460)$ and $D_{s2}^{\ast }(2573)$ tensor mesons using QCD sum rules
• Quasinormal modes and dispersion relations for quarkonium in a plasma
• The temperature dependence of the decuplet baryon masses from thermal QCD sum rules
• Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature
• Temperature dependence of dimension 6 gluon operators and their effects on Charmonium
• Charmonium ground and excited states at finite temperature from complex Borel sum rules
• $J/\psi$ near $T_c$
• Spin-1 quarkonia in a rotating frame and their spin contents
• $B_c{B}_{c}J/\psi$ Vertex Form Factor at Finite Temperature in the Framework of QCD Sum Rules Approach
• Thermal behaviors of light unflavored tensor mesons in the framework of QCD sum rule
• Heavy quarkonium with finite three momentum near $T_c$
• Wilson coefficients of dimension 6 gluon operators with spin indices in the heavy quark current correlation functions