Critical behavior of charmonia across the phase transition: A QCD sum rule approach

Abstract

We investigate medium-induced change of mass and width of J/psi and eta_c across the phase transition in hot gluonic matter using QCD sum rules. In the QCD sum rule approach, the medium effect on heavy quarkonia is induced by the change of both scalar and twist-2 gluon condensates, whose temperature dependences are extracted from the lattice calculations of energy density and pressure. Although the stability of the operator product expansion side seems to break down at T > 1.06Tc for the vector channel and T>1.04Tc for the pseudoscalar channel, we find a sudden change of the spectral property across the critical temperature Tc, which originates from an equally rapid change of the scalar gluon condensate characterized by e-3p. By parameterizing the ground state of the spectral density by the Breit-Wigner form, we find that for both J/psi and eta_c, the masses suddenly decrease maximally by a few hundreds of MeV and the widths broaden to ~100 MeV slightly above Tc. Implications for recent and future heavy ion experiments are discussed. We also carry out a similar analysis for charmonia in nuclear matter, which could serve as a testing ground for observing the precursor phenomena of the QCD phase transition. We finally discuss the possibility of observing the mass shift at nuclear matter at the FAIR project at GSI.

arXiv comment18 pages, 21 figures, 2 figures are added and discussion on effect of dynamical quarks is extended. version to appear in Phys.Rev.C

References in corpus (34)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• New Forms of QCD Matter Discovered at RHIC
• Thermodynamics of SU(3) Lattice Gauge Theory
• The QCD Equation of State with almost Physical Quark Masses
• J/psi Production vs Centrality, Transverse Momentum, and Rapidity in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• $J/\psi$ and ${\eta }_c$ in the Deconfined Plasma from Lattice QCD
• Behavior of Charmonium Systems after Deconfinement
• Static quark anti-quark free energy and the running coupling at finite temperature
• Sequential charmonium dissociation
• Heavy Quarkonia in Quark-Gluon Plasma
• Statistical hadronization of heavy quarks in ultra-relativistic nucleus-nucleus collisions
• Charmonium at high temperature in two-flavor QCD
• What QCD sum rules tell about the rho meson
• J/psi and eta_c in the nuclear medium: QCD sum rule approach
• Evidence for charmonium generation at the phase boundary in ultra-relativistic nuclear collisions
• Lattice QCD Calculation for the Physical Equation of State
• Mass Shift and Width Broadening of J/psi in hot gluonic plasma from QCD Sum Rules
• Study of Charmonia near the deconfining transition on an anisotropic lattice with O(a) improved quark action
• J/Psi Production in Au-Au Collisions at sqrt(s_NN) = 200 GeV at the Relativistic Heavy Ion Collider
• QCD sum rules for J/psi in the nuclear medium: calculation of the Wilson coefficients of gluon operators up to dimension 6
• $J/\psi$-Nucleon Scattering Length and In-medium Mass Shift of $J/\psi$ in QCD Sum Rule Analysis
• The widths of quarkonia in quark gluon plasma
• Heavy quarkonium in a holographic QCD model
• Baryon masses and pion-nucleon $\sigma$-term to second order in the quark masses
• Heavy-light quark pseudoscalar and vector mesons at finite temperature
• Theoretical overview: towards understanding the quark-gluon plasma
• Onset of $J/\psi$ Melting in Quark-Gluon Fluid at RHIC
• Theoretical issues in J/psi suppression
• The mass of charmonium in nuclear matter
• Rapidity Dependence of HBT radii based on a hydrodynamical model
• J/psi hadron interaction in vacuum and in QGP

Cited by in corpus (53)

• Charmonium and bottomonium production in heavy-ion collisions
• Quarkonia in the Quark Gluon Plasma
• Heavy Hadrons in Nuclear Matter
• 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 $J/\psi$
• Charmonium spectra at finite temperature from QCD sum rules with the maximum entropy method
• Measurement of ${\rm Y}$(1S+2S+3S) production in $p$$+$$p$ and Au$+$Au collisions at $\sqrt{s_{{}_{NN}}}=200$ GeV
• $J/\psi$ and ${\eta }_c$ masses in isospin asymmetric hot nuclear matter - a QCD sum rule approach
• Towards the Gravity Dual of Quarkonium in the Strongly Coupled QCD Plasma
• Charmonium in the vector channel at finite temperature from QCD sum rules
• Scalar Quarkonia at Finite Temperature
• Heavy quarkonium correlators at finite temperature: QCD sum rule approach
• 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
• Properties of $J/\psi$ at $T_c$: QCD second-order Stark effect
• An overview of experimental results from ultra-relativistic heavy-ion collisions at the CERN LHC: hard probes
• Charmonium states in strong magnetic fields
• Free energy versus internal energy potential for heavy quark systems at finite temperature
• Analysis of the ${\Sigma }_Q$ baryons in the nuclear matter with the QCD sum rules
• The effect of gluon condensate on holographic heavy quark potential
• Thermal QCD Sum Rules Study of Vector Charmonium and Bottomonium States
• In-medium modification of P-wave charmonia from QCD sum rules
• Charmonium decay widths in magnetized matter
• Heavy Scalar, Vector and Axial-Vector Mesons in Hot and Dense Nuclear Medium
• Quarkonium formation time in relativistic heavy-ion collisions
• Analysis of the doubly heavy baryons in the nuclear matter with the QCD sum rules
• A renewed look at eta' in medium
• The effect of gluon condensate on imaginary potential and thermal width from holography
• D meson mass and heavy quark potential at finite temperature
• Thermal properties of $D_2^{\ast }(2460)$ and $D_{s2}^{\ast }(2573)$ tensor mesons using QCD sum rules
• Chiral and U_A(1) symmetry in correlation functions in medium
• QCD sum rule analysis of Heavy Quarkonium states in magnetized matter -- effects of (inverse) magnetic catalysis
• Quasinormal modes and dispersion relations for quarkonium in a plasma
• The temperature dependence of the decuplet baryon masses from thermal QCD sum rules
• S-Wave Single Heavy Baryons with Spin-3/2 at Finite Temperature
• Open bottom mesons in magnetized matter -- effects of (inverse) magnetic catalysis
• Dirac sea effects on Heavy Quarkonia decay widths in magnetized matter -- a field theoretic model of composite hadrons
• Predictions of α-decay half-lives for neutron-deficient nuclei with the aid of artificial neural network
• 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 $T_c$
• Properties of Quarkonia at T_c
• $B_c{B}_{c}J/\psi$ Vertex Form Factor at Finite Temperature in the Framework of QCD Sum Rules Approach
• Properties of spin-1/2 heavy baryons at nonzero temperature
• The Flavours of the Quark-Gluon Plasma
• Thermal behaviors of light unflavored tensor mesons in the framework of QCD sum rule
• Deep inelastic scattering with proton target in the presence of gluon condensation using holography
• Wilson coefficients of dimension 6 gluon operators with spin indices in the heavy quark current correlation functions
• Absorption of 1$P$-wave heavy charmonium ${\chi }_{c1}(1P)$ in nuclei
• Medium modifications of $1P$-wave charmonia ${\chi }_{cJ}(1P)$ in cold nuclear matter