Nonlocality of quark condensates and the wave function of the pion in QCD

Journal Article · Tue Feb 28 23:00:00 EST 1989 · Soviet Journal of Nuclear Physics (English Translation); (USA)

OSTI ID:5506943

Mikhailov, S V; Radyushkin, A V ^[1]

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1. Joint Institute for Nuclear Research, Dubna (XJ)

We propose a generalization of the QCD sum rule method for determining the pion wave function {Phi}{sub {pi}} ({ital x}) by introducing nonlocal quark condensates, {l angle}{ital {bar q}}(0){ital q}({ital z}){r angle}{equivalent to}{ital M}({ital z}{sup 2}), {l angle}{ital {bar q}}(0){ital {cflx n}{cflx A}}{sub {mu}}({ital y}){ital q}({ital z}){r angle}={ital M}{sub {mu}} ({ital y},{ital z}), etc. We show that the QCD sum rules for the moments of {Phi}{sub {pi}}({ital x}) are very sensitive to the form of the coordinate dependence of the distributions {ital M}({ital z}{sup 2}), {ital M}{sub {mu}} ({ital y},{ital z}),... . We obtain modified sum rules and possible ans{umlt a}tze for the nonlocal condensates. We find that for distributions with a width determined by the standard value {lambda}{sup 2}{sub {ital q}}={l angle}{ital {bar q}}{del}{sup 2}{ital q}{r angle}/{l angle}{ital {bar q}q}{r angle}=0.4 GeV{sup 2}, {Phi}{sub {pi}} ({ital x}) should differ substantially from the wave function proposed by Chernyak and Zhitnitskii. We discuss the form of {Phi}{sub {pi}} ({ital x}).

• OSTI ID: 5506943
• Journal Information: Soviet Journal of Nuclear Physics (English Translation); (USA), Journal Name: Soviet Journal of Nuclear Physics (English Translation); (USA) Vol. 49:3; ISSN 0038-5506; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CONDENSATES
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
MESONS
PARTICLE PROPERTIES
PARTICLE WIDTHS
PIONS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
SUM RULES
WAVE FUNCTIONS