Vortices in a nonminimal Maxwell-Chern-Simons O(3) Sigma Model

TL;DR

This paper explores vortex solutions in a nonminimal Maxwell-Chern-Simons O(3) sigma model, deriving Bogomol'nyi equations and numerically analyzing both topological and nontopological solitons.

Contribution

It introduces Bogomol'nyi equations for a specific potential and coupling, and provides numerical solutions for vortex configurations in this model.

Findings

Derived Bogomol'nyi equations for the model

Obtained static vortex solutions satisfying the Bogomol'nyi bound

Numerically analyzed topological and nontopological solitons

Abstract

In this work we consider an Abelian O(3) sigma model coupled nonminimally with a gauge field governed by a Maxwell and Chern-Simons terms. Bogomol'nyi equations are constructed for a specific form of the potential and generic nonminimal coupling constant. Furthermore, topological and nontopological self-dual soliton solutions are obtained for a critical value of the nonminimal coupling constant. Some particular static vortex solutions (topological and nontopological) satisfying the Bogomol'nyi bound are numerically solved and presented.