Bound states of a gauge boson by a magnetic monopole

We consider the massive gauge boson (W^+/-) and the neutral Higgs particle (H) with zero angular momentum in the background field of a monopole for SU(2) gauge theory. The massive boson is found to form bound states. The maximum binding energy in the Prasad-Sommerfield limit is approximately 0.12 M (M is the mass of W), independent of the gauge coupling constant. We also find that the amplitude of the process H + dyon W^+/- + dyon is nonvanishing even in the limit of zero gauge coupling constant, if we fix the mass of W.