PoS - Proceedings of Science
Volume 310 - XVII International Conference on Hadron Spectroscopy and Structure (Hadron2017) - Session 1: Spectroscopy of mesons
The glueball and meson spectrum, the meson weak decay constants and the strong effective coupling with the analytic (infrared) confinement
G. Ganbold
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Pre-published on: February 16, 2018
Published on: March 20, 2018
Abstract
The phenomena of effective strong coupling and hadron mass generating, the properties of two-particle bound states have been studied in the framework of a QCD-inspired relativistic model of quark-gluon interaction with infrared confined propagators. The spectra of quark-antiquark and two-gluon stable states are defined by master equations similar to the ladder Bethe-Salpeter equation. We derived a meson mass equation and revealed a specific new behaviour of the massdependent strong coupling $α_s(M)$ defined in the time-like region. A new infrared freezing point $\hat{α}_s(0) = 1.03198$ at origin has been found and it did not depend on the confinement scale $\Lambda > 0$. Independent and new estimates on the scalar glueball mass (we found it around 1739 MeV), ’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 $\Lambda$. 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.
DOI: https://doi.org/10.22323/1.310.0036
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