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Generalized Relativistic Meson Wave Function

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arxiv hep-ph/9309284 v1 pith:WRHPEJSZ submitted 1993-09-17 hep-ph

classification hep-ph
keywords functionwavemesonrelativisticgeneralizedamplitudebettercapable
verification ladder T0 review T1 audit T2 compute T3 formal
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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 ($f_\pi$, $\langle r_\pi^2 \rangle$) 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.

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Cited by 1 Pith paper

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  1. Gradient flow for parton distribution functions: first application to the pion

    hep-lat 2025-09 conditional novelty 6.0 of 10

    Pion PDF moment ratios up to <x^5> were extracted from lattice QCD with gradient flow and agree with phenomenological fits.

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