Abstract
The phenomena of strong running coupling and hadron mass generating have been studied in the framework of a QCD-inspired relativistic model of quark-gluon interaction with infrared-confined propagators. We derived a meson mass equation and revealed a specific new behavior of the mass-dependent strong coupling α ^ s ( M ) defined in the time-like region. A new infrared freezing point α ^ s ( 0 ) = 1.03198 at origin has been found and it did not depend on the confinement scale Λ > 0 . Independent and new estimates on the scalar glueball mass, ‘radius’ and gluon condensate value have been performed. The spectrum of conventional mesons have been calculated by introducing a minimal set of parameters: the masses of constituent quarks and Λ . The obtained values are in good agreement with the latest experimental data with relative errors less than 1.8 percent. Accurate estimates of the leptonic decay constants of pseudoscalar and vector mesons have been performed.
Highlights
The low-energy region below ∼2 GeV becomes a testing ground, where much novel, interesting and challenging behavior is revealed in particle physics
The confinement may be parameterized by introducing entire-analytic and asymptotically free propagators [2]), vacuum gluon fields serving as the true minimum of the QCD effective potential [3], self-dual vacuum gluon fields leading to the confined propagators [4], the Wilson loop techniques [5], lattice Monte-Carlo simulations [6], a string theory quantized in higher dimensions [7] etc
The ’scalar confinement’ model could explain the asymptotically linear Regge trajectories of ’mesonic’ excitations and the existence of massive ’glueball’ states [25]. An extension of this model has been provided by introducing color and spin degrees of freedom, different masses of constituent quarks and the confinement size parameter that resulted in an estimation of the meson mass spectrum in a wide energy range [27]
Summary
The low-energy region below ∼2 GeV becomes a testing ground, where much novel, interesting and challenging behavior is revealed in particle physics (see, e.g., [1]). The ’scalar confinement’ model could explain the asymptotically linear Regge trajectories of ’mesonic’ excitations and the existence of massive ’glueball’ states [25] An extension of this model has been provided by introducing color and spin degrees of freedom, different masses of constituent quarks and the confinement size parameter that resulted in an estimation of the meson mass spectrum (with relative errors
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