We calculate the Wilson coefficients of all dimension 6 gluon operators with non zero spin in the correlation function between two heavy vector currents. We apply our results to investigate the mass ofJ/&psgr;in nuclear matter. 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&percent; of the dimension 4 operators with opposite sign. ©2001 American Institute of Physics.