Masses of light mesons and analytical confinement

2004/07/16 by G. V. Efimov, Efimov, G. V.
Physics and Astronomy · #Experimental and Theoretical Physics Studies #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0407186

18 pages, 3 figures

arxiv created 2004/07/16 · arxiv updated 2009/12/01

Abstract

Spectrum of masses of light pseudoscalar (π, K, η, η') and vector (ρ, K^*, ω, ϕ) mesons can be explained on the base of the following assumptions: (1) analytical confinement (propagators of quarks and gluons are entire analytical functions of the Gaussian type), (2) mesons are bound states of quark and gluons (the Bethe-Salpeter equation in the one-gluon exchange approximation) and (3) QCD coupling constant α_s(M) is a monotone decreasing function of mass of a bound state M. The decay constants f_π and f_K are calculated.

Related

• Light Meson Decay Constants
• Light meson masses and mixings
• A Combined Solution of the Schwinger-Dyson and Bethe-Salpeter Equations for Mesons as q q Bound States
• q q Bound States in the Bethe-Salpeter Formalism
• Analytical calculations of ground and excited states of unequal mass heavy pseudoscalar and vector mesons mass spectra using Bethe-Salpeter formalism