Parton model and the Bethe-Salpeter wave function. [STructure functions]

Journal Article · Tue Feb 15 04:00:00 EST 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.1141· OSTI ID:7325488

Soper, D E

The quark-parton model is discussed from the point of view that the quark partons are the quanta created by the Fourier transforms of the quark fields at constant x/sup +/. We argue using this picture that, for a given behavior of a hadron's deep-inelastic structure function W/sub 2/(x) as x ..-->.. 1, the Drell-Yan-West relation provides a lower bound on the behavior of its form factor F/sub 1/(Q/sup 2/) as Q/sup 2/ ..-->.. infinity. The connection between the parton and Bethe-Salpeter descriptions of hadron structure is described and used to translate known information about the pion's Bethe-Salpeter wave function into information about the amplitude for a pion to consist of precisely two quark partons. We find that the two-parton contributions to ..nu..W/sub 2/(x) and F (Q/sup 2/) behave roughly like ..nu..W/sub 2/ proportional (1 - x)/sup 2/ for small (1 - x) and F (Q/sup 2/) proportional (Q/sup 2/)/sup -1/ for large Q/sup 2/, respectively.

• Research Organization: Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540
• OSTI ID: 7325488
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 15:4; ISSN PRVDA
• 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
BETHE-SALPETER EQUATION
BOSONS
COMPOSITE MODELS
DEEP INELASTIC SCATTERING
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
FORM FACTORS
FOURIER TRANSFORMATION
FUNCTIONS
HADRONS
INELASTIC SCATTERING
INTEGRAL TRANSFORMATIONS
INTERACTIONS
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
MATHEMATICAL MODELS
MESONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PARTICLE STRUCTURE
PARTON MODEL
PIONS
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUARK MODEL
SCATTERING
STRUCTURE FUNCTIONS
TRANSFORMATIONS
WAVE FUNCTIONS