Pion distribution amplitude and quasidistributions
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) Qπ(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.
- Authors:
-
- Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1362129
- Alternate Identifier(s):
- OSTI ID: 1348962
- Report Number(s):
- JLAB-THY-17-2395; DOE/OR/23177-4043; arXiv:1701.02688
Journal ID: ISSN 2470-0010; PRVDAQ
- Grant/Contract Number:
- AC05-06OR23177; FG02-97ER41028
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 5; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Radyushkin, Anatoly V. Pion distribution amplitude and quasidistributions. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.95.056020.
Radyushkin, Anatoly V. Pion distribution amplitude and quasidistributions. United States. https://doi.org/10.1103/PhysRevD.95.056020
Radyushkin, Anatoly V. Mon .
"Pion distribution amplitude and quasidistributions". United States. https://doi.org/10.1103/PhysRevD.95.056020. https://www.osti.gov/servlets/purl/1362129.
@article{osti_1362129,
title = {Pion distribution amplitude and quasidistributions},
author = {Radyushkin, Anatoly V.},
abstractNote = {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) Qπ(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.},
doi = {10.1103/PhysRevD.95.056020},
journal = {Physical Review D},
number = 5,
volume = 95,
place = {United States},
year = {Mon Mar 27 00:00:00 EDT 2017},
month = {Mon Mar 27 00:00:00 EDT 2017}
}
Web of Science
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