Branching Behavior of the Dyonic Multi-Monopole and Multi-Half monopole in the SU(2) Yang-Mills-Higgs Theory

We studied the branching behaviors of dyonic multi-monopole plus multi-half-monopole for n=2,3 and 4 across λ_b≤λ≤25 at some finite electric charge parameter η where λ_b is the bottom limit of λ. There is only one fundamental solution when n=2. When n=3 and 4, each set of the solutions possesses new branching solutions besides the fundamental one. These branching solutions possess different structures and have higher energies. We investigate on the total energy, E, pole separation, d_z, magnetic moment, μ_m, and electric charge, Q, for different λ.