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Classical Solutions of SU(2) and SU(3) Pure Yang-Mills Theories and Heavy Quark Spectrum

Authors: O. Oliveira, R. A. Coimbra

Ref.: hep-ph/0305305 (2003)

Abstract: In this paper we compute classical Minkowsky spacetime solutions of pure SU(2) and SU(3) gauge theories, in Landau gauge. The solutions are regular everywhere except at the origin and/or infinity, are characterized by a four momentum $k$ such that $k^2 = 0$ and resemble QED configurations. The classical solutions suggest a particle-independent description of hadrons, similarly to the Atomic and Nuclear energy levels, which is able to reproduce the heavy quarkonium spectrum with a precision below 10%. Typical errors in the theoretical mass prediction relative to the measured mass being of the order of 2-4%

URL: aps.arxiv.org