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Particles 2019, 2(2), 180-196; https://doi.org/10.3390/particles2020013

Strong Effective Coupling, Meson Ground States, and Glueball within Analytic Confinement

1
Bogoliubov Laboratory of Theoretical Physics, JINR, Joliot-Curie 6, 141980 Dubna, Russia
2
Institute of Physics and Technology, Mongolian Academy of Sciences, Enkh Taivan 54b, 13330 Ulaanbaatar, Mongolia
Received: 13 February 2019 / Revised: 15 March 2019 / Accepted: 18 March 2019 / Published: 1 April 2019
(This article belongs to the Special Issue QCD and Hadron Structure)
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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. View Full-Text
Keywords: quark model; confinement; strong coupling; meson; glueball; leptonic decay quark model; confinement; strong coupling; meson; glueball; leptonic decay
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Ganbold, G. Strong Effective Coupling, Meson Ground States, and Glueball within Analytic Confinement. Particles 2019, 2, 180-196.

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