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Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory

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arxiv hep-lat/9703019 v2 pith:U2A5HBH2 submitted 1997-03-26 hep-lat hep-ph

Gunnar S. Bali (U Southampton) , Klaus Schilling (HLRZ Juelich & U Wuppertal) , Armin Wachter (HLRZ Juelich) This is my paper · ORCID
classification hep-lathep-ph
keywords potentialtheorycompletecorrectionsfirstinterquarklatticemomentum-dependent
verification ladder T0 review T1 audit T2 compute T3 formal
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For the first time, we determine the complete spin- and momentum-dependent order v^2 corrections to the static interquark potential from simulations of QCD in the valence quark approximation at inverse lattice spacings of 2-3 GeV. A new flavor dependent correction to the central potential is found. We report a 1/r^2 contribution to the long range spin-orbit potential V_1'. The other spin-dependent potentials turn out to be short ranged and can be well understood by means of perturbation theory. The momentum-dependent potentials qualitatively agree with minimal area law expectations. In view of spectrum calculations, we discuss the matching of the effective nonrelativistic theory to QCD as well as renormalization of lattice results. In a first survey of the resulting bottomonia and charmonia spectra we reproduce the experimental levels within average errors of 12.5 MeV and 22 MeV, respectively.

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Cited by 4 Pith papers

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