Exact solution of the Dirac equation in the field of a 't Hooft-- p Polyakov monopole

Journal Article · Mon Apr 04 04:00:00 EST 1983 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.50.1035· OSTI ID:6082369

Marciano, W J; Muzinich, I J

This paper presents an exact solution of the Dirac equation for an I = (1/2) fermion in the field of a 't Hooft--Polyakov magnetic monopole (in the Prasad-Sommerfield limit) which is analytic at r = 0. Helicity conservation restricts the J = 0 S matrix to be pure charge exchange. Because of the long-range interaction, the scattering amplitude is enhanced at long wave lengths lambda>>1/M (the monopole structure size). The relevance of the present results for the question of proton decay catalysis is briefly discussed.

• Research Organization: Department of Physics, Brookhaven National Laboratory, Upton, New York 11973
• OSTI ID: 6082369
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 50:14; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYONS
CHARGE EXCHANGE
CROSS SECTIONS
DECAY
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELASTIC SCATTERING
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
GAUGE INVARIANCE
HADRONS
HAMILTONIANS
HELICITY
INVARIANCE PRINCIPLES
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICAL OPERATORS
MONOPOLES
NUCLEONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTIAL WAVES
PARTICLE PROPERTIES
POSTULATED PARTICLES
POTENTIAL SCATTERING
PROTONS
QUANTUM OPERATORS
SCATTERING
SCATTERING AMPLITUDES
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
WAVE EQUATIONS