Charmonium mass in hot and dense hadronic matter

Abstract

We investigate mass shifts of charmonia driven by change of the gluon condensate below but near transition temperatures at finite baryonic chemical potential. Extending previous prescription on the relation between gluon condensates and thermodynamic quantities, we model the gluon condensates of hadronic matter at finite temperature and baryonic chemical potential such that the scalar gluon condensate fits with the latest lattice QCD data. By making use of the QCD sum rule and the second order Stark effect, we find that the smoother transition in the full QCD can lead to moderate mass shifts of charmonia even below the transition temperature. We also find larger mass shift at fixed temperature as chemical potential increases. Existing data on charmonium-charmonium ratio is found to be consistent with the statistical hadronization scenario including the obtained mass shift.

To appear in Phys.Rev.C, 12 pages, 8 figures. Resonance gas model for gluon condensates are improved by comparing lattice QCD data with physical quark masses. More detailed discussion on some other points are added

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• An overview of the experimental study of quark-gluon matter in high-energy nucleus-nucleus collisions
• $\bar{\mathrm{D}}$ and $\mathrm{B}$ mesons in nuclear medium
• Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method
• Probing gluon dynamics by charm and bottom mesons in nuclear medium from heavy meson effective theory with 1/M-corrections
• Charmonium states in strong magnetic fields
• Free energy versus internal energy potential for heavy quark systems at finite temperature
• Charmonium decay widths in magnetized matter
• A renewed look at eta' in medium
• Mass shift of charmonium states in $\bar{p}A$ collision
• Charmonia and Bottomonia in asymmetric magnetized hot nuclear matter
• Experimental results and phenomenology of quarkonium production in relativistic nuclear collisions
• Heavy vector and axial-vector $D$ mesons in hot magnetized asymmetric nuclear matter
• QCD sum rule analysis of Heavy Quarkonium states 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
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