### 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 |
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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 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics