Pion Distribution Amplitude and Quasidistributions

Authors

A. V. Radyushkin, Old Dominion UniversityFollow

Document Type

Article

Publication Date

3-2017

DOI

10.1103/PhysRevD.95.056020

Publication Title

Physical Review D

Volume

95

Issue

5

Pages

056020

Abstract

We extend our analysis of quasidistributions onto the pion distribution amplitude. Using the formalism of parton virtuality distribution amplitudes, we establish a connection between the pion transverse momentum dependent distribution amplitude Ψ(x, k²_⊥) and the pion quasidistribution amplitude (QDA) Q_π(y, p₃). We build models for the QDAs from the virtuality-distribution-amplitude-based models for soft transverse momentum dependent distribution amplitudes, and analyze the p₃ dependence of the resulting QDAs. As there are many models claimed to describe the primordial shape of the pion distribution amplitude, we present the p₃-evolution patterns for models producing some popular proposals: Chernyak-Zhitnitsky, flat, and asymptotic distribution amplitude. Our results may be used as a guide for future studies of the pion distribution amplitude on the lattice using the quasidistribution approach.

Original Publication Citation

Radyushkin, A. V. (2017). Pion distribution amplitude and quasidistributions. Physical Review D, 95(5), 056020. doi:10.1103/PhysRevD.95.056020

ORCID

0000-0002-9326-1300 (Radyushkin)

Repository Citation

Radyushkin, A. V., "Pion Distribution Amplitude and Quasidistributions" (2017). Physics Faculty Publications. 62.
https://digitalcommons.odu.edu/physics_fac_pubs/62