Estimates of the gluon concentrations in the confining SU(3)-Yang-Mills field for the first three states of charmonium

Abstract

The estimates of the gluon concentrations in the classical SU(3)-Yang-Mills field modelling confinement are given for the first three states of charmonium whose spectrum is tuned by calculating electromagnetic transitions among the mentioned levels in dipole approximation. For comparison the corresponding estimates for the photon concentration in the ground state of positronium (parapositronium and orthopositronium) are also adduced.

15 pages, LaTeX

References in corpus (6)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Determination of ${\alpha }_s$ and heavy quark masses from recent measurements of $R(s)$
• Black hole physics, confining solutions of SU(3)-Yang-Mills equations and relativistic models of mesons
• Dirac equation in the confining SU(3)-Yang-Mills field and relativistic effects in charmonium spectrum
• The value of QCD coupling constant and power corrections in the structure function F2 measurements
• QCD coupling constant value and deep inelastic measurements

Cited by in corpus (12)

• Structure of the confining solutions for SU(3)-Yang-Mills equations and confinement mechanism
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in the ground state of toponium: Relativistic and nonrelativistic approaches
• 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
• Exact solutions of (n + 1)-dimensional Yang-Mills equations in curved space-time
• 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