Fermion-monopole system reexamined. II

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Abstract
Following a preceding paper, we reexamine the interaction of magnetic monopoles (dyons) with Dirac particles. For an infinitely heavy SU(2) dyon with one isodoublet fermion, we show that the vacuum angle in the original theory may be incorporated as a boundary condition in an effective one-particle Hamiltonian, which allows us to determine the charge distribution and the fermionic structure of the stable dyons. The resulting boundary conditions turn out to be Abelian and charge conserving, in contrast to that of previous authors. In particular, the dyon degree of freedom is essentially frozen, and there is no charge-exchange scattering off the dyon. With a Dirac mass term for the fermion, we also find that the ground state is twofold degenerate, owing to a spontaneous breakdown of fermion-number conjugation. For a Higgs mass, we find that the conjugation symmetry is unbroken, as in the original analysis of Jackiw and Rebbi. However, because of the changed boundary condition, the characteristic zero mode ceases to exist, and the ground state is nondegenerate with zero fermion number.

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