An exact solution of the Jackiw-Rebbi equations for a fermion-monopole-Higgs system

We present an exact solution for arbitrary partial waves to the Jackiw-Rebbi equations for an isospinor fermion in the background of a non-abelian singular magnetic monopole and a Higgs field. The Higgs coupling produces a centrifugal barrier making the hamiltonian self-adjoint with ordinary boundar...

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Bibliographic Details
Published in:Physics letters. B 1983-01, Vol.129 (3), p.201-204
Main Authors: Din, A.M., Roy, S.M.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Theory of quantized fields
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Summary:We present an exact solution for arbitrary partial waves to the Jackiw-Rebbi equations for an isospinor fermion in the background of a non-abelian singular magnetic monopole and a Higgs field. The Higgs coupling produces a centrifugal barrier making the hamiltonian self-adjoint with ordinary boundary conditions at the origin. There are infinitely many bound states, each doubly degenerate. The scattering is charge conserving.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(83)90843-2