ar X iv : h ep - p h / 96 05 42 4 v 1 2 8 M ay 1 99 6 More nonperturbative corrections to the fine and hyperfine splitting in the heavy quarkonium

42 4 v 2 1 6 O ct 1 99 6 More nonperturbative corrections to the fine and hyperfine splitting in the heavy quarkonium

More nonperturbative corrections to the fine and hyperfine splitting in the heavy quarkonium Abstract The leading nonperturbative effects to the fine and hyperfine splitting were calculated some time ago. Recently, they have been used in order to obtain realistic numerical results for the lower levels in bottomonium systems. We point out that a contribution of the same order O(Λ 4 QCD /m 3 α 2 ...

ar X iv : h ep - p h / 98 07 46 3 v 1 2 2 Ju l 1 99 8 IHEP - TH - 98 - 16 Nonperturbative Corrections to One Gluon Exchange Quark Potentials 1

The leading nonperturbative QCD corrections to the one gluon exchange quark-quark, quark-antiquark and q ¯ q pair-excitation potentials are derived by using a covariant form of nonlocal two-quark and two-gluon vacuum expectation values. Our numerical calculation indicates that the correction of quark and gluon condensates to the quark-antiquark potential improves the heavy quarkonium spectra to...

ar X iv : h ep - p h / 98 05 46 8 v 1 2 6 M ay 1 99 8 COURSE HEAVY QUARK PHYSICS

ar X iv : h ep - p h / 96 11 38 8 v 1 2 2 N ov 1 99 6 Next - to - leading nonperturbative calculation in heavy quarkonium

The next-to-leading nonperturbative contributions to heavy quarkonium systems are calculated. The applicability of the Voloshin-Leutwyler approach to heavy quarko-nia systems for the physical cases of Bottomonium and Charmonium is investigated. We study whether the background gluon field correlation time can be considered to be infinity or not, by calculating the leading correction to this assu...

ar X iv : h ep - p h / 96 11 38 8 v 2 7 M ar 1 99 7 Next - to - leading nonperturbative calculation in heavy quarkonium

The next-to-leading nonperturbative contributions to heavy quarkonium systems are calculated. The applicability of the Voloshin-Leutwyler approach to heavy quarko-nia systems for the physical cases of Bottomonium and Charmonium is investigated. We study whether the background gluon field correlation time can be considered to be infinity or not, by calculating the leading correction to this assu...