### Abstract

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.

Original language | English |
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Article number | 094015 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 89 |

Issue number | 9 |

DOIs | |

Publication status | Published - 2014 May 19 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*89*(9), [094015]. https://doi.org/10.1103/PhysRevD.89.094015

}

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 89, no. 9, 094015. https://doi.org/10.1103/PhysRevD.89.094015

**Free energy versus internal energy potential for heavy-quark systems at finite temperature.** / Lee, Su Houng; Morita, Kenji; Song, Taesoo; Ko, Che Ming.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Free energy versus internal energy potential for heavy-quark systems at finite temperature

AU - Lee, Su Houng

AU - Morita, Kenji

AU - Song, Taesoo

AU - Ko, Che Ming

PY - 2014/5/19

Y1 - 2014/5/19

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84901390508&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevD.89.094015

DO - 10.1103/PhysRevD.89.094015

M3 - Article

VL - 89

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 9

M1 - 094015

ER -