Abstract
A scenario is investigated in which the leading-twist pion distribution amplitude ${\ensuremath{\varphi}}_{\ensuremath{\pi}}(x)$ is approximated by the pion decay constant ${f}_{\ensuremath{\pi}}$ for all essential values of the light-cone fraction $x$. A model for the light-front wave function $\ensuremath{\Psi}(x,{k}_{\ensuremath{\perp}})$ is proposed that produces such a distribution amplitude and has a rapidly decreasing (exponential for definiteness) dependence on the light-front energy combination ${k}_{\ensuremath{\perp}}^{2}/x(1\ensuremath{-}x)$. It is shown that this model easily reproduces the fit of recent large-${Q}^{2}$ BABAR data on the photon-pion transition form factor. Some aspects of the scenario with flat pion distribution amplitude are discussed.
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