2013/07/03 by Siu Fai Hsu, Hsu, Siu Fai
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.1307.0994
20 pages, 3 figures and 4 tables
arxiv created 2013/07/03 · arxiv updated 2013/07/04
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≥ 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.