Relativistic description of P γ*γ transition form factors within the quasipotential approach

Abstract

The possibility of a nonperturbative description of the π 0 γ*γ, ηγ*γ, and η′γ*γ transition form factors is investigated. The description is performed within the quasipotential approach in the lowest order approximation in the electromagnetic coupling constant. This makes it possible to obtain analytic expressions for these form factors in terms of the corresponding relativistic meson wave functions. The quasipotential wave functions chosen for pseudoscalar mesons in a natural way permit obtaining a quantitative description of present-day experimental data. A comparison of the parameters of the wave functions for π 0, η, and η′ mesons demonstrates clearly the relativistic character of quark motion in light mesons.