Abstract
In the present work we consider the influence on the heavy quark correlators due to the instanton background in the framework of instanton liquid model (ILM) of QCD vacuum by taking into account also the perturbative gluon effects. For a single heavy quark this leads to the mass shift due to the direct-instanton nonperturbative and ILM modified perturbative contributions, respectively. In the heavy quark-antiquark ($Q\bar{Q}$) sector we obtain the potential consisting the direct instanton induced part and the one-gluon exchange (OGE) perturbative part which is screened at large distances due to the nonperturbative dynamics. At the region of interest corresponding to the heavy quark physics the screening effect in OGE can be well approximated by a Yukawa-type potential in terms of the dynamically generated gluon mass. A possible implication of the present studies to the phenomenology of heavy quarkonium is also discussed.
Highlights
The properties of heavy quarkonium QQ in the framework of phenomenological approaches can be well described essentially on a basis of nonrelativistic potential models
We studied one body and two body correlators, corresponding to the heavy quark sector in the framework of the instanton liquid model by the inclusion of the perturbative corrections
The instantons cannot explain a confinement mechanism, we have shown that they play a nontrivial role, in the nonperturbative region r ∼ ρ and in the perturbative region r < ρ
Summary
The properties of heavy quarkonium QQ (a colorless system consisting of a heavy quark Q and another heavy antiquark Q ) in the framework of phenomenological approaches can be well described essentially on a basis of nonrelativistic potential models. The model quite popular among them is one with the so-called Cornell potential [1], which has a nature of a Coulomb-like attractive part at short distances and a linear confining part at long distances. The form of potential is given as
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