D meson mass and heavy quark potential at finite temperature

Philipp Gubler, Taesoo Song, Su Houng Lee

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4 Citations (Scopus)


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/ψ to a QCD sum rule calculation, we conclude that the composition of the effective heavy quark potential should depend on the interquark 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.

Original languageEnglish
Article number114029
JournalPhysical Review D
Issue number11
Publication statusPublished - 2020 Jun 1

Bibliographical note

Funding Information:
The authors acknowledge useful discussions with E. Bratkovskaya and J. M. Torres-Rincon. This work was supported by Samsung Science and Technology Foundation under Project No. SSTF-BA1901-04. P. G. is supported by the Grant-in-Aid for Early-Carrier Scientists (JSPS KAKENHI Grant No. JP18K13542), Grant-in-Aid for Scientific Research (C) (JSPS KAKENHI Grant No. JP20K03940) and the Leading Initiative for Excellent Young Researchers (LEADER) of the Japan Society for the Promotion of Science (JSPS).

Publisher Copyright:
© 2020 authors. Published by the American Physical Society.

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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