QCD predictions for the behavior of the gluon distribution at small x

Journal Article · Fri Nov 01 04:00:00 EST 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.2640· OSTI ID:6387662

Kwiecinski, J; Martin, A D; Sutton, P J ^[1]

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1. Department of Physics, University of Durham, DH1 3LE (England)

The very-small-{ital x} behavior of the gluon distribution in a proton is obtained by solving the Lipatov equation with the nonlinear shadowing term incorporated. We find, with decreasing {ital x}, the emergence of an {ital x}{sup {minus}{lambda}} behavior {ital and} he eventual taming of this singular behavior by the shadowing term. We compare our dynamically generated gluon distribution with (i) the results of a recent next-to-leading order QCD structure function analysis which incorporated both a singular {ital x}{sup {minus}1/2} behavior and shadowing corrections, and (ii) the double-leading-logarithm approximation. We formulate the semiclassical approximation of the Lipatov equation, with and without shadowing contributions, in order to compare with earlier analyses based on this approximation.

• OSTI ID: 6387662
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:9; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BARYONS
BASIC INTERACTIONS
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
GLUON MODEL
HADRONS
INTERACTIONS
LADDER APPROXIMATION
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MOMENTUM TRANSFER
NUCLEONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PERTURBATION THEORY
PHASE SPACE
PROTONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SEMICLASSICAL APPROXIMATION
SPACE
STRUCTURE FUNCTIONS