Self-duality and nonrelativistic Maxwell-Chern-Simons solitons

We consider a model of nonrelativistic charged matter interacting with a massive Abelian gauge field and a neutral scalar field in (2+1)-dimensional space-time. As in the model considered by Jackiw and Pi with a pure Chern-Simons interaction, the model admits classical static self-dual solutions. These solutions are nontopological solitons which may be threaded by a number of vortices. Furthermore, these self-dual classical solutions are zero-energy configurations.