The null-plane pion wave function is used to compute the structure function for deep-inelastic unpolarized-lepton scattering. The old problems with such a phenomenology are that the computed structure functions are almost independent of the Bjorken x variable, and that it is difficult to simultaneously reproduce the observed charge radius and pion decay constant. These are avoided by using constituent quarks with structure.
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Frederico et al. (1994) studied this question.
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