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

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.

9 pages,LaTeX

References in corpus (1)

• Black hole physics, confining solutions of SU(3)-Yang-Mills equations and relativistic models of mesons

Cited by in corpus (12)

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• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in pions and kaons
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in π^0-meson from one- and two-photon decays
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in charged pions and kaons from leptonic decays and chiral symmetry breaking
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in $\eta$-meson from two-photon decay
• Classical model of confinement
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in neutral kaons and chiral limit for pseudoscalar nonet
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in an ${\eta }^{\prime }$-meson
• Quark confinement mechanism and the scale ${\Lambda }_{QCD}$
• Estimates for Parameters and Characteristics of the Confining SU(3)-gluonic Field in $\varphi$-meson from Leptonic Widths