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arXiv · 2403.03356

Quark Counting, Drell-Yan West, and the Pion Wave Function

Mary Alberg·Gerald A. Miller
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Abstract

The relation between the pion's quark distribution function, $q(x)$, its light-front wave function, and the elastic charge form factor, $F(Δ^2)$ is explored. The square of the leading-twist pion wave function at a special probe scale, $ζ_H$, is determined using models and Poincare covariance from realistic results for $q(x)$. This wave function is then used to compute form factors with the result that the Drell-Yan-West and quark counting relationships are not satisfied. A new relationship between $q(x)$ and $F(Δ^2)$ is proposed.

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Mary Alberg, Gerald A. Miller. 2024-03-05. Quark Counting, Drell-Yan West, and the Pion Wave Function. https://arxiv.org/abs/2403.03356

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