Fermions interacting with spherically symmetric monopoles: Beyond the step-function approximation

Journal Article · Wed May 15 04:00:00 EDT 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.2559· OSTI ID:5691922

Rao, S

We analyze the interactions of massless fermions in arbitrary representations of the gauge group, with general spherically symmetric monopoles of arbitrary strength. We obtain the conditions for finiteness of the solutions to the Dirac equation at the origin, evolve it through arbitrary radial functions, and obtain the boundary conditions at the monopole-core radius, thus improving upon the step-function approximation previously used. We show that our results differ from the results using the step-function approximation only when the boundary conditions are not diagonalizable on the physical basis, and hence processes involving such cases may be used to probe the structure of the monopole core.

• Research Organization: Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510
• OSTI ID: 5691922
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 31:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
FERMIONS
HAMILTONIANS
HIGGS MODEL
INTERACTIONS
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MONOPOLES
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM OPERATORS
QUARK MODEL
STRING MODELS
SYMMETRY
WAVE EQUATIONS