QCD sum rules in exclusive kinematics and the pion wave function

Journal Article · Fri Sep 01 04:00:00 EDT 1989 · Soviet Journal of Nuclear Physics (English Translation); (USA)

DOI:https://doi.org/10.1007/BF01548594· OSTI ID:7232401

Braun, V M; Filyanov, I E ^[1]

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1. Leningrad Institute of Nuclear Physics, USSR Academy of Sciences (SU)

We propose modified QCD sum rules for static properties of hadrons (matrix elements of local operators) using the expansion of the corresponding three-point correlation functions in the exclusive kinematic region {ital p}{sup 2}{r arrow}{minus}{infinity}, {ital qp}/{ital p}{sup 2}{similar to}1, and {ital q}{sup 2}=0. As an example we obtain a new sum rule for the magnetic moments of the nucleons. Furthermore, in the framework of the sum rules we find relations between the coupling constants {ital g}{sub {pi}{ital NN}}, {ital g}{sub {rho}{omega}{pi}}, and the value of the leading-twist pion wave function at the middle point (for equal momenta of the quarks), which turns out to be unexpectedly large, {var phi}{sub {pi}}(1/2) =1.2{plus minus}0.3. We propose a model wave function {var phi}{sub {pi}} which satisfies all existing constraints.

• OSTI ID: 7232401
• Journal Information: Soviet Journal of Nuclear Physics (English Translation); (USA), Journal Name: Soviet Journal of Nuclear Physics (English Translation); (USA) Vol. 50:3; 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
ANGULAR MOMENTUM
BARYONS
BOSONS
CONFORMAL INVARIANCE
CONSTRAINTS
CORRELATION FUNCTIONS
COUPLING CONSTANTS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
INVARIANCE PRINCIPLES
LIMITING VALUES
MAGNETIC MOMENTS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MESONS
NUCLEONS
PARTICLE PROPERTIES
PIONS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARKS
SPIN
SUM RULES
WAVE FUNCTIONS