Chern-Simons vortices in particle systems obeying an exclusion-inclusion principle

In this paper, we study the stationary solutions of a canonical system, the matter field obeying an exclusion-inclusion principle (EIP) which is minim ally coupled to a gauge field whose dynamics are described within the frame of the Chern-Simons picture. We show that with a suitably selected non-lin ear algebraic potential U(rho), we can obtain the stationary states through the solution of a first-order differential equation a la Bogomol ny i. The model admits non-topological vortex solutions whose properties are studied in detail. We derive the expressions of the main physical. quantities asso ciated to these solutions, like the electric charge and the angular momentu m and derive the vortex shape numerically integrating proper equations. As a consequence, we obtain that the introduction of the EIP in our model tran sforms in continuous quantities the electric charge and the angular momentu m of the system, which are discrete in the absence of the EIP. Finally we s how that when the EIP is reduced to an exclusion principle, the value of th e above physical quantities have an upper limit. (C) 2000 Elsevier Science B.V. All rights reserved.