Masses of light mesons and analytical confinement
Abstract
Description
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.
18 pages, 3 figures
18 pages, 3 figures