Scaling in the mean at asymptotic energies

Journal Article · Sun May 01 00:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.2627· OSTI ID:7259180

Yaes, R J

We investigate, in detail, the consequences of the assumption that ''scaling in the mean'' and Koba-Nielsen-Olesen (KNO) scaling remain valid at asymptotic energies for which p/sub L/ very-much-greater-than p/sub T/, m and very-much-greater-than 1. We argue that the scaling function phi (t) can be fit by the simple function e/sup -//sup t/ with no free parameters. We show that, asymptotically, the semi-inclusive distributions satisfy Feynman scaling and vanish at x = 0, and that the inclusive distributions satisfy scaling in the mean, vanish at x = 0, and break Feynman scaling through an implicit s dependence through the variable . For Slattery's fit to the KNO function, we obtain the inclusive distributions for various values of . We assume that scaling in the mean holds for two-particle semi-inclusive distributions and obtain the normalization conditions for the two-particle scaling function. We obtain an expression for the two-particle inclusive distribution and define correlation functions in terms of the scaling functions. We show explicitly that even if the semi-inclusive distributions factorize, the inclusive distributions do not.

• Research Organization: Department of Physics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7
• OSTI ID: 7259180
• Journal Information: Phys. Rev., D; (United States), Vol. 15:9
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
INCLUSIVE INTERACTIONS
SCALING LAWS
CORRELATION FUNCTIONS
DISTRIBUTION
ENERGY DEPENDENCE
FEYNMAN DIAGRAM
MULTIPLICITY
SUM RULES
TRANSVERSE MOMENTUM
DIAGRAMS
EQUATIONS
FUNCTIONS
INTERACTIONS
LINEAR MOMENTUM
PARTICLE INTERACTIONS
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties