One and a half dyons solution

Abstract

Recently we have reported on the coexistence of a finite energy SU(2) Yang-Mills-Higgs particle of one-half topological charge and a ’t Hooft-Polyakov monopole of opposite charges. In this paper, we show that this purely magnetic solution can be extended into one and a half dyons solution by introducing electric charge into the system. This configuration possesses finite energy, angular momentum and magnetic dipole moment and is able to rotate when external magnetic field is switched on. Similar to the one-half dyon and monopole-antimonopole pair dyons solutions, when electric charge parameter η is non-vanishing, the physical quantities like total energy, magnetic dipole moment, dipole separation, and electric charge of this solution increase exponentially fast to infinity as the Higgs self-coupling constant λ approaches zero. For non-vanishing λ, these quantities possess a critical value as η approaches one. However, for larger values of λ, the magnetic dipoles moment and dipole separation decrease with increasing η which certainly differ from the norm.