Scattering of low-energy fermions by a Chern-Simons vortex

Journal Article · Sat Dec 15 04:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.4145· OSTI ID:5754193

Grignani, G; Nardelli, G ^[1]

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1. Center for Theoretical Physics, Laboratory for Nuclear Science, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (USA)

We consider the interaction of (2+1)-dimensional fermions with a background of a charged-vortex solution of the Chern-Simons-Higgs model. When the fermions are coupled in the minimal way to the vortex gauge fields, the interaction potentials contain short-range terms, related to the vortex electric and magnetic field, and long-range terms, proportional to the topological charge of the vortex, that modify the centrifugal barrier. As a consequence of this inverse-square tail, at a large distance from the center of the vortex, the fermion behaves as if it had an effective angular momentum that, because of the difference between the fermion charge {ital e} and the scalar charge {ital q}, can assume any rational value. We develop a procedure to study the scattering of low-energy fermions by any kind of vortex and with a partial-wave analysis we compute, for any value of the fermion angular momentum, the phase shifts, the Jost functions, and the scattering cross sections. The obtained results crucially depend on the quantity {ital en}/{ital q} ({ital n} being the vorticity) and the low-energy cross section diverges at zero momentum.

• DOE Contract Number: AC02-76ER03069
• OSTI ID: 5754193
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRIC FIELDS
EQUATIONS
FERMIONS
FUNCTIONS
GAUGE INVARIANCE
HIGGS MODEL
INVARIANCE PRINCIPLES
JOST FUNCTION
MAGNETIC FIELDS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PHASE SHIFT
SCATTERING AMPLITUDES
SPINORS
THREE-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS