TL;DR
This paper proposes a model for the pion distribution amplitude that approximates it by the decay constant and fits recent experimental data, offering insights into the pion's internal structure.
Contribution
A new light-front wave function model is introduced that yields a flat pion distribution amplitude and successfully reproduces experimental transition form factor data.
Findings
Model reproduces BaBar data on photon-pion transition form factor
Proposes a flat pion distribution amplitude scenario
Provides a wave function with exponential energy dependence
Abstract
A scenario is investigated in which the leading-twist pion distribution amplitude phi_pi (x) is approximated by the pion decay constant f_pi for all essential values of the light-cone fraction x. A model for the light-front wave function Psi(x,k_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_perp^2/x(1-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 scenario with flat pion distribution amplitude are discussed.
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