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Title: Pion Distribution Amplitude from Lattice QCD

A method is explained through which a pointwise accurate approximation to the pion’s valence-quark distribution amplitude (PDA) may be obtained from a limited number of moments. Furthermore, in connection with the single nontrivial moment accessible in contemporary simulations of lattice-regularized QCD, the method yields a PDA that is a broad concave function whose pointwise form agrees with that predicted by Dyson-Schwinger equation analyses of the pion. Under leading-order evolution, the PDA remains broad to energy scales in excess of 100 GeV, a feature which signals persistence of the influence of dynamical chiral symmetry breaking. Consequently, the asymptotic distribution φ $$asy\atop{π}$$( x ) is a poor approximation to the pion’s PDA at all such scales that are either currently accessible or foreseeable in experiments on pion elastic and transition form factors. Thus, related expectations based on φ$$asy\atop{π}$$( x ) should be revised.
Authors:
 [1] ;  [2] ;  [1] ;  [3] ;  [4]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
  2. Forschungszentrum Julich (Germany). Inst. for Nuclear Physics
  3. Forschungszentrum Julich (Germany). Inst. for Advanced Simulation
  4. Kent State Univ., Kent, OH (United States). Center for Nuclear Research
Publication Date:
Report Number(s):
BNL-114274-2017-JA
Journal ID: ISSN 0031-9007; PRLTAO; R&D Project: KB0301020; KB0301020
Grant/Contract Number:
SC0012704; AC02-06CH11357; NSF-PHY1206187
Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 111; Journal Issue: 9; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Science Foundation (NSF)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
OSTI Identifier:
1392248

Cloët, I. C., Chang, L., Roberts, C. D., Schmidt, S. M., and Tandy, P. C.. Pion Distribution Amplitude from Lattice QCD. United States: N. p., Web. doi:10.1103/PhysRevLett.111.092001.
Cloët, I. C., Chang, L., Roberts, C. D., Schmidt, S. M., & Tandy, P. C.. Pion Distribution Amplitude from Lattice QCD. United States. doi:10.1103/PhysRevLett.111.092001.
Cloët, I. C., Chang, L., Roberts, C. D., Schmidt, S. M., and Tandy, P. C.. 2013. "Pion Distribution Amplitude from Lattice QCD". United States. doi:10.1103/PhysRevLett.111.092001. https://www.osti.gov/servlets/purl/1392248.
@article{osti_1392248,
title = {Pion Distribution Amplitude from Lattice QCD},
author = {Cloët, I. C. and Chang, L. and Roberts, C. D. and Schmidt, S. M. and Tandy, P. C.},
abstractNote = {A method is explained through which a pointwise accurate approximation to the pion’s valence-quark distribution amplitude (PDA) may be obtained from a limited number of moments. Furthermore, in connection with the single nontrivial moment accessible in contemporary simulations of lattice-regularized QCD, the method yields a PDA that is a broad concave function whose pointwise form agrees with that predicted by Dyson-Schwinger equation analyses of the pion. Under leading-order evolution, the PDA remains broad to energy scales in excess of 100 GeV, a feature which signals persistence of the influence of dynamical chiral symmetry breaking. Consequently, the asymptotic distribution φ $asy\atop{π}$( x ) is a poor approximation to the pion’s PDA at all such scales that are either currently accessible or foreseeable in experiments on pion elastic and transition form factors. Thus, related expectations based on φ$asy\atop{π}$( x ) should be revised.},
doi = {10.1103/PhysRevLett.111.092001},
journal = {Physical Review Letters},
number = 9,
volume = 111,
place = {United States},
year = {2013},
month = {8}
}