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

Journal Article · Mon Apr 04 00:00:00 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), Vol. 50:14
• Country of Publication: United States
• Language: English

Related Subjects

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