Highly force-free relativistic electron beam equilibrium.

A non-hollowed-out relativistic electron beam model is considered in which the axial current well exceeds the Alfven limit when the field-configuration of the beam is highly force free. In this model, the current has an axial as well as an azimuthal component. For a given ratio of these two current components, a family of solutions is obtained in which there is an upper limit on beam radius. Over a large range of the beam radius, the axial current in our model is large compared with the current carried by a beam of the same radius in Hammer and Rostoker's model.