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

Particles

Gurjav Ganbold¹ 

[1]Bogoliubov Laboratory of Theoretical Physics, JINR, Joliot-Curie 6, 141980 Dubna, Russia

关键词: quark model;    confinement;    strong coupling;    meson;    glueball;    leptonic decay;   

DOI  :  10.3390/particles2020013

来源: DOAJ

【 摘 要 】

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 ${\widehat{\alpha }}_s(M)$ defined in the time-like region. A new infrared freezing point ${\widehat{\mathsf{\alpha }}}_s(0)=1.03198$ at origin has been found and it did not depend on the confinement scale $\mathsf{\Lambda }>0$ . 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 $\mathsf{\Lambda }$ . 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.

【 授权许可】

Unknown