  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 $j=0$, $j=1$
and $j\geq 2$ 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 $k-$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 $\om >1$.
