Bilocal field theory and a model for meson spectroscopy. Part I. Trident production by high energy charged particles on nuclei. Part II. [Harmonic oscillator quark model, radiative corrections, cross sections covariant perturbation theory, interference]
Bilocal field theory for quark confinement is considered in a combination of bilocal field theory with the covariant harmonic oscillator quark model. The formalism can be viewed as a direct generalization of local Lagrangian field theory. Following the usual local theory, the variational principle is used to find the Euler - Lagrange equation for the bilocal field. For a special class of Lagrangian densities satisfying a boundary condition on the hypersurface of the internal domain which is called the cell, the Euler - Lagrange equation appears to be a simple generalization of the local equation. For such Lagrangian densities there exist proper conservation laws of energy and angular momentum. The Lagrangian density with an internal covariant harmonic oscillator interaction is then introduced to describe the static properties of the mesons. Calculations of trident production by high energy charged particles on nuclei were done in the framework of covariant perturbation theory. The dominant contribution to the cross section comes from the lowest order diagrams and the higher order radiative corrections yield a very small part. The lowest order calculations are described in detail for pair production by charged bosons, in particular by ..pi../sup -/, following a previous approach. Cross section formulae for the fermion primary, which is taken to be the proton for concreteness, are also presented. For the high energy lepton pairs, the second-order process dominates over the first-order process. The interference term between the first and second-order process is shown to vanish. An attempt is made to calculate the radiative corrections to the second-order process. 109 references. (JFP)
- Research Organization:
- Ames Lab., Ames, IA (United States)
- DOE Contract Number:
- W-7405-ENG-82
- OSTI ID:
- 5926711
- Report Number(s):
- IS-T-861
- Resource Relation:
- Other Information: Thesis
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
MESON RESONANCES
MASS SPECTRA
MESONS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
CONFINEMENT
LEPTONS
MULTIPLE PRODUCTION
PAIR PRODUCTION
PARTICLE PRODUCTION
PION MINUS REACTIONS
PROTON REACTIONS
GRAPHS
THEORETICAL DATA
ANGULAR MOMENTUM
BOUNDARY CONDITIONS
CHARMONIUM
CONSERVATION LAWS
ENERGY
HARMONIC OSCILLATORS
ISOLATED VALUES
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
SURFACES
VARIATIONAL METHODS
CROSS SECTIONS
DIAGRAMS
ENERGY SPECTRA
HADRON REACTIONS
INTERFERENCE
PERTURBATION THEORY
RADIATIVE CORRECTIONS
BARYON REACTIONS
BOSONS
CHARGED-PARTICLE REACTIONS
COMPOSITE MODELS
CORRECTIONS
DATA
DATA FORMS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
INFORMATION
INTERACTIONS
MATHEMATICAL MODELS
MESON REACTIONS
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUMERICAL DATA
PARTICLE INTERACTIONS
PARTICLE MODELS
PION REACTIONS
POSTULATED PARTICLES
RESONANCE PARTICLES
SPECTRA
645205* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions
Baryon No. = 0- (-1987)
645400 - High Energy Physics- Field Theory