Duality for heavy-quark systems. II. Coupled channels

Journal Article · Wed Apr 01 04:00:00 EST 1981 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.23.1531· OSTI ID:6789919

Durand, B; Durand, L

We derive the duality relation approx. = which relates a suitable energy average of the physical coupled-channel cross section sigma=sigma(e/sup +/e/sup -/..-->..hadrons) to the same average of the cross section sigma/sub bound/ for the production of bound qq-bar states in a single-channel confining potential. The average is equated by our previous work to the average cross section for production of a qq-bar pair moving freely in the nonconfining color Coulomb potential. Thus, approx. =. The corrections to these duality relations are calculable. We give an exactly solvable coupled-two-channel model and use it to verify duality for both weak and strong coupling.

• Research Organization: Physics Department, University of Wisconsin: Madison, Madison, Wisconsin 53706
• OSTI ID: 6789919
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 23:7; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BASIC INTERACTIONS
BOUND STATE
COLOR MODEL
COMPOSITE MODELS
COULOMB FIELD
COUPLED CHANNEL THEORY
CROSS SECTIONS
DUALITY
EIGENSTATES
ELECTRIC FIELDS
ELECTROMAGNETIC INTERACTIONS
ELECTROMAGNETIC RADIATION
ELECTRON-POSITRON INTERACTIONS
ELEMENTARY PARTICLES
FIELD THEORIES
GAMMA RADIATION
HADRONS
HAMILTONIANS
INTERACTIONS
IONIZING RADIATIONS
LEPTON-LEPTON INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PAIR PRODUCTION
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PRODUCTION
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
QUARKS
RADIATIONS