Dyons are an important family of topological solitons carrying both electric and magnetic charges and the presence of a nontrivial temporal component of the gauge field essential for the existence of electricity often makes the analysis of the underlying nonlinear equations rather challenging since the governing action functional assumes an indefinite form.In this work,developing a constrained variational technique,We establish an existence theorem for the dyon solitons in a Skyrme model coupled with SO(3)-gauge fields,formulated by Brihaye,Kleihaus,and Tchrakian.These solutions carry unit monopole and Skyrme charges.
Skyrmions has been shown that carries two independent topologies,the baryon topologies and the monopole topology[1].The baryon number B of skyrmions could be expressed as B=mn,where m is the monopole number and n is the shell nubmer.These two topological numbers describe the topologies π_(1)(S^(1))and π_(2)S^(2),respectively.
