Nonminimal Maxwell-Chern-Simons-O(3)-sigma vortices: asymmetric potential case

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In this work we study a nonlinear gauged O(3)-sigma model with both minimal and nonminimal coupling in the covariant derivative. Using an asymmetric scalar potential, the model is found to exhibit both topological and non-topological soliton solutions in the Bogomol'nyi limit.