We show the existence of self-dual semilocal nontopological vortices in a ${\mathrm{\Phi }}^2$ Chern-Simons (CS) theory. The model of scalar and gauge fields with a SU(2${)}_{\mathrm{global}}$×U(1${)}_{\mathrm{local}}$ symmetry 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. At the boundary κ=m, there is a two-parameter family of solutions all saturating the self-dual limit. The vortex solutions continuously interpolate between a ring-shaped structure and a flux tube configuration.

• Received 11 July 1994

DOI:https://doi.org/10.1103/PhysRevD.51.4533