Generalized relativistic meson wave function

Abstract

We study the most general, relativistic, constituent $q\overline{q}$ meson wave function within a new covariant framework. We find that by including a tensor wave function component, a pure valence quark model is now capable of reproducing not only all static pion data ($f_{\pi },〈r_{\pi }^2〉$) but also the distribution amplitude, form factor [$F_{\pi }\left(Q^2\right)$], and structure functions. Further, our generalized spin wave function provides a much better detailed description of meson properties than models using a simple relativistic extension of the $S=L=0\mathrm{}$ nonrelativistic wave function.