SEMILOCAL NONTOPOLOGICAL SOLITONS IN A CHERN-SIMONS THEORY.

We show the existence of self-dual semilocal nontopological vortices in a $\Phi^2$ Chern-Simons (C-S) theory. The model of scalar and gauge fields with a $SU(2)_{global} \times U(1)_{local}$ symmetry includes both the C-S term and an anomalous magnetic contribution. It is demonstrated here, that the vortices are stable or unstable according to whether the vector topological mass $\kappa$ is less than or greater than the mass $m$ of the scalar field. At the boundary, $\kappa = m$, there is a two-parameter family of solutions all saturating the self-dual limit. The vortex solutions continuously interpolates between a ring shaped structure and a flux tube configuration.