Abstract
We study the stability under small perturbations for the recently discovered self-dual non-topological vortices in a ϕ2 Abelian Chern-Simons (CS) theory. The solitons appear in the Bogomol'nyi limit of a model of scalar and gauge fields which includes both the CS term and an anomalous magnetic contribution. It is demonstrated here, that the vortices are stable or unstable according to whether the vector topological mass κ is less than or greater than the mass m of the scalar field. The interaction between vortices is determined as attractive for (m < κ) and repulsive for (m > κ).
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