Europhys. Lett., 62 (5) , pp. 684-690 (2003)
Dirac equation in the confining SU(3)-Yang-Mills field and relativistic effects in the charmonium spectrumYu. P. Goncharov
Theoretical Group, Experimental Physics Department, State Polytechnical University Sankt-Petersburg 195251, Russia
(Received 17 December 2002; accepted in final form 10 April 2003)
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.
12.38.-t - Quantum chromodynamics.
12.38.Lg - Other nonperturbative calculations.
14.40.Lb - Charmed mesons.
© EDP Sciences 2003