COLOR VAN DER WAALS FORCES BETWEEN HEAVY QUARKONIA IN EFFECTIVE QCD

Abstract

The perturbative renormalization group for light-front QCD Hamiltonians produces a logarithmically rising inter-quark potential already in second order, when Fock sectors with effective (constituent) gluons are truncated. In this approach the quark self-interaction renders [Formula: see text] states unphysical if they are not color singlets. There is a question if this mechanism solves the problem of too strong color van der Waals forces between heavy quarkonia, which emerge in potential models not directly derivable from QCD. This article shows that such forces do exist in this approach, and estimates their strength with the result that they are on the border of exclusion, while more advanced calculation is possible.