Including a phenomenological heavy-light quark potential in the coalescence model enhances the heavy-quark coalescence probability to near unity at low momentum without ad hoc normalization.
D meson mass and heavy quark potential at finite temperature
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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.
fields
hep-ph 2years
2026 2representative citing papers
Remler formalism with in-medium heavy-quark potential describes charmonium yields at SPS energies and supplies estimates for FAIR energies after calibration on p+p and p+A collisions.
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Including a phenomenological heavy-light quark potential in the coalescence model enhances the heavy-quark coalescence probability to near unity at low momentum without ad hoc normalization.
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