't Hooft-Polyakov monopole of higher generalized angular momenta
Abstract
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 $\om >1$.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2013
- DOI:
- 10.48550/arXiv.1307.0994
- arXiv:
- arXiv:1307.0994
- Bibcode:
- 2013arXiv1307.0994H
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 20 pages, 3 figures and 4 tables