The Twin Effect of the SU(2) Yang-Mills-Higgs Monopole Solutions

Recently, we have shown the existence of the Type 1 and Type 2 finite energy one-half monopole in the SU(2) Yang-Mills-Higgs field theory. These twin solutions are connected by a non trivial gauge transformation and numerical calculations show that they possess almost the same physical electromagnetic properties. Numerically their total energies and magnetic dipole moments do differ in magnitude. In this paper we would like to show that this twin effect is true not only for the one-half monopole solutions but for all the other known monopole solutions that are solved using the axially symmetric magnetic ansatz.