Nonlocality of quark condensates and the wave function of the pion in QCD
- 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), Vol. 49:3; ISSN 0038-5506
- Country of Publication:
- United States
- Language:
- English
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PIONS
WAVE FUNCTIONS
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QUANTUM CHROMODYNAMICS
QUARKS
SUM RULES
BOSONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
MESONS
PARTICLE PROPERTIES
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties