Europhys. Lett.
Volume 62, Number 5, June 2003
Page(s) 684 - 690
Section The physics of elementary particles and fields
Published online 01 May 2003
DOI: 10.1209/epl/i2003-00338-1
Europhys. Lett., 62 (5) , pp. 684-690 (2003)

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

Yu. 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