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 $(F_{\pi }(Q^2))$, 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 $S=L=0$ nonrelativistic wave function.

Comments: 17 pages, REXTeX 3.0 file, (uuencoded postscript files of 8 figures appended)