A Variational Fock-Space Treatment of Quarkonium

Details A Variational Fock-Space Treatment of Quarkonium A Variational Fock-Space Treatment of Quarkonium

2000-10-12

arxiv.org/abs/hep-ph/0010127v1

Int.J.Mod.Phys. A17 (2002) 2165-2190

Physics

High Energy Physics

High Energy Physics - Phenomenology

TEX, no figures

Scientific paper

10.1142/S0217751X02010674

The variational method and the Hamiltonian formalism of QCD are used to derive relativistic, momentum space integral equations for a quark-antiquark system with an arbitrary number of gluons present. As a first step, the resulting infinite chain of coupled equations is solved in the nonrelativistic limit by an approximate decoupling method. Comparison with experiment allows us to fix the quark mass and coupling constant, allowing for the calculation of the spectra of massive systems such as charmonium and bottomonium. Studying the results with and without the nonAbelian terms, we find that the presence of the nonAbelian factors yields better agreement with the experimental spectra.

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