Pion distribution amplitude and quasidistributions

Radyushkin, Anatoly V.

doi:10.1103/PhysRevD.95.056020

Title: Pion distribution amplitude and quasidistributions

Journal Article · Mon Mar 27 00:00:00 EDT 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.95.056020· OSTI ID:1362129

Radyushkin, Anatoly V. ^[1]

Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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. Finally, our results may be used as a guide for future studies of the pion distribution amplitude on the lattice using the quasidistribution approach.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177; FG02-97ER41028

OSTI ID:: 1362129

Alternate ID(s):: OSTI ID: 1348962

Report Number(s):: JLAB-THY-17-2395; DOE/OR/23177-4043; arXiv:1701.02688; PRVDAQ

Journal Information:: Physical Review D, Vol. 95, Issue 5; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 28 works

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References (29)

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Pion Distribution Amplitude from Lattice QCD Zhang, Jian-Hui; Chen, Jiunn-Wei; Ji, Xiangdong arXiv https://doi.org/10.48550/arxiv.1702.00008	text	January 2017
Lattice corrections to the quark quasidistribution at one-loop Carlson, Carl E.; Freid, Michael arXiv https://doi.org/10.48550/arxiv.1702.05775	text	January 2017
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Renormalization of Wilson-line operators in the presence of nonzero quark masses Spanoudes, G.; Panagopoulos, H. arXiv https://doi.org/10.48550/arxiv.1805.01164	text	January 2018

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