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arXiv · 1701.02688

Pion Distribution Amplitude and Quasi-Distributions

Anatoly V. Radyushkin
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Abstract

We extend our analysis of quasi-distributions onto the pion distribution amplitude. Using the formalism of parton virtuality distribution amplitudes (VDAs), we establish a connection between the pion transverse momentum dependent distribution amplitude (TMDA) $\Psi (x, k_\perp^2)$ and the pion quasi-distribution amplitude (QDA) $Q_\pi (y,p_3)$. We build models for the QDAs from the VDA-based models for soft TMDAs, and analyze the $p_3$ dependence of the resulting QDAs. As there are many models claimed to describe the primordial shape of the pion DA, we present the $p_3$-evolution patterns for models producing some popular proposals: Chernyak-Zhitnitsky, flat and asymptotic DAs. Our results may be used as a guide for future studies of the pion distribution amplitude on the lattice using the quasi-distribution approach.

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Anatoly V. Radyushkin. 2017-01-10. Pion Distribution Amplitude and Quasi-Distributions. https://doi.org/10.1103/physrevd.95.056020

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