The leading non-perturbative QCD corrections to the one-gluon exchange
quark-quark, quark-antiquark and q (q) over bar pair-excitation poten
tials are derived by using a covariant form of non-local two-quark and
two-gluon vacuum expectation values, Our numerical calculation indica
tes that the correction of quark and gluon condensates to the quark-an
tiquark potential improves the heavy quarkonium spectra to some degree
. (C) 1998 Elsevier Science B.V.