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

Su Houng Lee, Kenji Morita, Taesoo Song, Che Ming Ko

Research output: Contribution to journalArticle

14 Citations (Scopus)

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 languageEnglish
Article number094015
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume89
Issue number9
DOIs
Publication statusPublished - 2014 May 19

Fingerprint

internal energy
free energy
quarks
quantum chromodynamics
wave functions
temperature
sum rules
flux density
transition temperature
operators
expansion
products

All Science Journal Classification (ASJC) codes

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

Cite this

@article{b1585e8991ea4844abd6531551b69d5f,
title = "Free energy versus internal energy potential for heavy-quark systems at finite temperature",
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 Schr{\"o}dinger 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.",
author = "Lee, {Su Houng} and Kenji Morita and Taesoo Song and Ko, {Che Ming}",
year = "2014",
month = "5",
day = "19",
doi = "10.1103/PhysRevD.89.094015",
language = "English",
volume = "89",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Physical Society",
number = "9",

}

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

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 89, No. 9, 094015, 19.05.2014.

Research output: Contribution to journalArticle

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

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

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 -