Using the QCD sum rule with its operator product expansion reliably determined from lattice calculations for the pressure and energy density of hot QCD matter, we calculate the strength of the J/ψ wave function at the origin and find that it decreases with temperature when the temperature is in the vicinity of the transition temperature. This result is shown to follow exactly that obtained from the solution of the Schrödinger equation for a charm and anticharm quark pair with a temperature independent quark mass using the free energy from lattice calculations as the potential and is in sharp contrast to that using the deeper potential associated with the internal energy, which shows an enhanced strength of the J/ψ wave function at the origin. Our result thus suggests that the free energy potential from lattice calculations is the appropriate heavy-quark potential for analyzing the charmonium spectrum at a finite temperature.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 2014 May 19|
Bibliographical noteFunding Information:
This work was supported in part by the Korean Research Foundation under Grant Nos. KRF-2011-0020333 and KRF-2011-0030621 , the Yukawa International Program for Quark-Hadron Sciences at Kyoto University and the Grant-in-Aid for Scientific Research from JSPS No. 24540271 , the Polish Science Foundation ( NCN ), under Maestro grant 2013/10/A/ST2/00106 , HIC for FAIR , and the DFG BR 4000/3-1 as well as the US National Science Foundation under Grant No. PHY-1068572 , the U.S. Department of Energy under Contract No. DE-FG02-10ER41682 within the framework of the JET Collaboration, and the Welch Foundation under Grant No. A-1358 .
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)