Abstract
Main properties of stable quark-antiquark bound states have been investigated by using a relativistic quark model with analytic confinement. A new insight into the problem of hadron mass generation is provided. It has been shown that the compositeness condition expressing the Yukawa coupling of the meson-quark interaction and the master equation relating the meson mass function to the Fermi coupling can together guarantee the equivalency of the both theories, thereby providing an interpretation of the meson field as a bound state of constituent quarks. A smooth behavior for the Fermi coupling G(M) obeying reasonable accuracy for the meson estimated masses M has been obtained. We have also updated our previous numerical results for the weak-decay constants as well as the electromagnetic decay widths of mesons. The obtained estimates are found in reasonable agreement with the recent experimental data.
Highlights
Understanding of a number of phenomena in modern particle physics such as the quark confinement, hadronization, generation of hadron masses etc. requires correct description of hadron dynamics within theoretical models
The origin of the hadron masses is one of the puzzles of particle physics and the calculation of their mass spectra in a quality comparable to precise experimental data still remains a key problem in QCD
Relativistic models with specific forms of analytically confined propagators have been developed to study some aspects of low-energy hadron physics [2]
Summary
Understanding of a number of phenomena in modern particle physics such as the quark confinement, hadronization, generation of hadron masses etc. requires correct description of hadron dynamics within theoretical models. The origin of the hadron masses is one of the puzzles of particle physics and the calculation of their mass spectra in a quality comparable to precise experimental data still remains a key problem in QCD. The CC requirement ZH = 0 is one of the key ingredients in the covariant confined quark model (CCQM) development [1]. Relativistic models with specific forms of analytically confined propagators have been developed to study some aspects of low-energy hadron physics [2]. A phenomenological model with an infrared confinement has been developed to study the dependence of the effective strong coupling αs on the mass scale. We use the CC requirement to determine the renormalized Yukawa coupling gr as a function of model parameters and observed hadron masses mH. We compared the obtained dependence of G(mH) with the αs coupling [2] and found their nontrivial behaviors at large mass region
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