Pion Distribution Amplitude from Lattice QCD

Cloët, I. C.; Chang, L.; Roberts, C. D.; Schmidt, S. M.; Tandy, P. C.

doi:10.1103/PhysRevLett.111.092001

Title: Pion Distribution Amplitude from Lattice QCD

Journal Article · Tue Aug 27 00:00:00 EDT 2013 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.111.092001· OSTI ID:1392248

Cloët, I. C. ^[1]; Chang, L. ^[2]; Roberts, C. D. ^[1]; Schmidt, S. M. ^[3]; Tandy, P. C. ^[4]

Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
Forschungszentrum Julich (Germany). Inst. for Nuclear Physics
Forschungszentrum Julich (Germany). Inst. for Advanced Simulation
Kent State Univ., Kent, OH (United States). Center for Nuclear Research

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.

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Research Organization:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

Grant/Contract Number:: SC0012704; AC02-06CH11357; NSF-PHY1206187

OSTI ID:: 1392248

Report Number(s):: BNL-114274-2017-JA; PRLTAO; R&D Project: KB0301020; KB0301020

Journal Information:: Physical Review Letters, Vol. 111, Issue 9; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 52 works

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