### Abstract

We calculate the Wilson coefficients of all dimension-6 gluon operators with nonzero spin in the correlation function between two heavy vector currents. For the twist-4 part, we first identify the three independent gluon operators, and then proceed with the calculation of the Wilson coefficients using the fixed-point gauge. Together with the previous calculation of the Wilson coefficients for the dimension-6 scalar gluon operators by Nikolaev and Radyushkin, our result completes the list of all the Wilson coefficients of dimension-6 gluon operators in the correlation function between heavy vector currents. We apply our results to investigate the mass of J/ψ in nuclear matter using QCD sum rules. Using an upper-bound estimate on the matrix elements of the dimension-6 gluon operators to linear order in density, we find that the density-dependent contribution from dimension-6 operators is less than 40% of the dimension-4 operators with opposite sign. The final result gives about -4 MeV mass shift for the charmonium at rest in nuclear matter.

Original language | English |
---|---|

Pages (from-to) | 517-548 |

Number of pages | 32 |

Journal | Nuclear Physics A |

Volume | 679 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 2001 Jan 1 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

}

*Nuclear Physics A*, vol. 679, no. 3-4, pp. 517-548. https://doi.org/10.1016/S0375-9474(00)00350-X

**QCD sum rules for J/ψ in the nuclear medium : Calculation of the Wilson coefficients of gluon operators up to dimension 6.** / Kim, Sungsik; Lee, Su Houng.

Research output: Contribution to journal › Article

TY - JOUR

T1 - QCD sum rules for J/ψ in the nuclear medium

T2 - Calculation of the Wilson coefficients of gluon operators up to dimension 6

AU - Kim, Sungsik

AU - Lee, Su Houng

PY - 2001/1/1

Y1 - 2001/1/1

N2 - We calculate the Wilson coefficients of all dimension-6 gluon operators with nonzero spin in the correlation function between two heavy vector currents. For the twist-4 part, we first identify the three independent gluon operators, and then proceed with the calculation of the Wilson coefficients using the fixed-point gauge. Together with the previous calculation of the Wilson coefficients for the dimension-6 scalar gluon operators by Nikolaev and Radyushkin, our result completes the list of all the Wilson coefficients of dimension-6 gluon operators in the correlation function between heavy vector currents. We apply our results to investigate the mass of J/ψ in nuclear matter using QCD sum rules. Using an upper-bound estimate on the matrix elements of the dimension-6 gluon operators to linear order in density, we find that the density-dependent contribution from dimension-6 operators is less than 40% of the dimension-4 operators with opposite sign. The final result gives about -4 MeV mass shift for the charmonium at rest in nuclear matter.

AB - We calculate the Wilson coefficients of all dimension-6 gluon operators with nonzero spin in the correlation function between two heavy vector currents. For the twist-4 part, we first identify the three independent gluon operators, and then proceed with the calculation of the Wilson coefficients using the fixed-point gauge. Together with the previous calculation of the Wilson coefficients for the dimension-6 scalar gluon operators by Nikolaev and Radyushkin, our result completes the list of all the Wilson coefficients of dimension-6 gluon operators in the correlation function between heavy vector currents. We apply our results to investigate the mass of J/ψ in nuclear matter using QCD sum rules. Using an upper-bound estimate on the matrix elements of the dimension-6 gluon operators to linear order in density, we find that the density-dependent contribution from dimension-6 operators is less than 40% of the dimension-4 operators with opposite sign. The final result gives about -4 MeV mass shift for the charmonium at rest in nuclear matter.

UR - http://www.scopus.com/inward/record.url?scp=0035216414&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035216414&partnerID=8YFLogxK

U2 - 10.1016/S0375-9474(00)00350-X

DO - 10.1016/S0375-9474(00)00350-X

M3 - Article

AN - SCOPUS:0035216414

VL - 679

SP - 517

EP - 548

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 3-4

ER -