Abstract
A relativistic quantum-field model based on analytical confinement is developed to build stable bound states of spin-half and spin-one particles. The spectra of two-quark ground states are defined by using the ladder Bethe-Salpeter equation. An analytic expression for the running coupling in QCD is obtained that can be extended to the low energy region. By comparing the obtained result with recent experimental data on meson masses we obtain a new, independent and specific infrared-finite behavior of QCD coupling below energy scale ∼ 1 GeV. Particularly, an infrared-fixed point is extracted at αS(0) ≃ 0.757. We also calculate masses of some conventional mesons in the range of 0.8 – 9.5 GeV.
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