An exact solution of the Jackiw-Rebbi equations for a Fermion-Monopole-Higgs system

Din, A. M. ; Roy, S. M. (1983) An exact solution of the Jackiw-Rebbi equations for a Fermion-Monopole-Higgs system Physics Letters B, 129 (3-4). pp. 201-204. ISSN 0370-2693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037026...

Related URL: http://dx.doi.org/10.1016/0370-2693(83)90843-2

Abstract

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.

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