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Dirac equation in the confining SU(3)-Yang-Mills field and relativistic effects in the charmonium spectrum

2003 EDP Sciences
, , Citation Yu. P. Goncharov 2003 EPL 62 684 DOI 10.1209/epl/i2003-00338-1

0295-5075/62/5/684

Abstract

The recently obtained solutions of the Dirac equation in the confining SU(3)-Yang-Mills field in Minkowski spacetime are applied to describe the energy spectrum of charmonium. The nonrelativistic limit is considered for the relativistic effects to be estimated in a self-consistent way and it is shown that the given effects could be extremely important for both the energy spectrum and the confinement mechanism.

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10.1209/epl/i2003-00338-1