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't Hooft-Polyakov monopole of higher generalized angular momenta
We recall the quaternionic fomulation, which can simplify the computation of
the linearized Yang-Mills-Higgs equation in the background of a 't
Hooft-Polyakov monopole. We then study the solutions in the cases ,
and separately. In particular, we investigate the spectral properties
of the monopoles. We focus on some of the bound states and show that as the
generalized momentum increases, the th eigenvalue tends to 1. We show the
existence of Feshbach resonance for \om <1 in the coupled system and
calculated the partial cross section when \om >1.Comment: 20 pages, 3 figures and 4 table
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