DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
 [1]
  1. 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}
}

Journal Article:

Citation Metrics:
Cited by: 28 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Virtuality distributions in application to <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>γ</mml:mi><mml:msup><mml:mrow><mml:mi>γ</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> transition form factor at handbag level
journal, July 2014


Transverse momentum and Sudakov effects in exclusive QCD processes: γ * γ π 0 form factor
journal, September 1997


Asymptotic freedom in parton language
journal, August 1977


Lattice calculation of parton distributions
journal, July 2015


Parton Distribution Functions from Lattice QCD
journal, March 2016


Exclusive processes in perturbative quantum chromodynamics
journal, November 1980


On the pion distribution amplitude shape
journal, October 2009


Bjorken-x Dependence of Hadronic Structure from Lattice QCD
journal, February 2015


Nonperturbative evolution of parton quasi-distributions
journal, April 2017


Virtuality and transverse momentum dependence of the pion distribution amplitude
journal, March 2016


Parton Physics on a Euclidean Lattice
journal, June 2013


Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons
journal, November 1979


One-loop matching for parton distributions: Nonsinglet case
journal, July 2014


Shape of pion distribution amplitude
journal, November 2009


Quasi-parton distribution functions: A study in the diquark spectator model
journal, April 2015


Asymptotic behavior of the pion form factor in quantum chromodynamics
journal, February 1980

  • Efremov, A. V.; Radyushkin, A. V.
  • Theoretical and Mathematical Physics, Vol. 42, Issue 2
  • DOI: 10.1007/BF01032111

Factorization and asymptotic behaviour of pion form factor in QCD
journal, July 1980


Nucleon helicity and transversity parton distributions from lattice QCD
journal, October 2016


On high Q2 behavior of the pion form factor for transitions and within the nonlocal quark-pion model
journal, March 2000


Reconstructing parton densities at large fractional momenta
journal, January 2017


Pion light-cone wave function and pion distribution amplitude in the Nambu–Jona-Lasinio model
journal, November 2002


Second moment of the pion light-cone distribution amplitude from lattice QCD
journal, July 2015


Exclusive decays of heavy mesons
journal, July 1982


Nucleon helicity and transversity parton distributions from lattice QCD
text, January 2016

  • Chen, Jiunn-Wei; Cohen, Saul D.; Ji, Xiangdong
  • Universität Regensburg
  • DOI: 10.5283/epub.37220

Quasi-Parton Distribution Functions: A Study in the Diquark Spectator Model
conference, March 2016

  • Vitev, Ivan; Gamberg, Leonard; Kang, Zhong-Bo
  • Proceedings of QCD Evolution 2015 — PoS(QCDEV2015)
  • DOI: 10.22323/1.249.0045

Parton distribution functions from lattice QCD
conference, September 2019

  • Zhang, Jianhui
  • Proceedings of XXVII International Workshop on Deep-Inelastic Scattering and Related Subjects — PoS(DIS2019)
  • DOI: 10.22323/1.352.0041

Parton Physics on Euclidean Lattice
text, January 2013


Nucleon Helicity and Transversity Parton Distributions from Lattice QCD
text, January 2016


Works referencing / citing this record:

Gluon quasidistribution function at one loop
journal, February 2018


Pion Distribution Amplitude from Lattice QCD
journal, August 2013


Parton distribution function with nonperturbative renormalization from lattice QCD
text, January 2018

  • Chen, Jiunn-Wei; Ishikawa, Tomomi; Jin, Luchang
  • Universität Regensburg
  • DOI: 10.5283/epub.38352

Pion distribution amplitude from lattice QCD
text, January 2017

  • Zhang, Jian-Hui; Chen, Jiunn-Wei; Ji, Xiangdong
  • Universität Regensburg
  • DOI: 10.5283/epub.38984

Pion Distribution Amplitude from Lattice QCD
text, January 2017


Lattice corrections to the quark quasidistribution at one-loop
text, January 2017


Gluon quasidistribution function at one loop
text, January 2017