  We consider the Gross-Pitaevskii (GP) model of a Bose-Einstein Condensate
(BEC) to study a single vortex line in the presence of non-local repulsive
s-wave scattering. We show that in addition to the vortex solution with core
width of the order of the healing length, there exists a vortex solution whose
width is a microscopic length scale of the order of s-wave scattering length
and is independent of the healing length. We compare the two classes of vortex
solution and show the region where one can possibly observe the vortex whose
width is of the order of scattering length.
