  We introduce a variation of the Bose-Einstein condensate(BEC)-Skyrme model,
with an altered potential for miscible BECs that gives rise to two physical
vortex strings. In the ground state of each topological sector, the vortices
are linked exactly $B$ times, due to a recently formulated theorem, with $B$
being the baryon number of the solution. The model also possesses metastable
states, where the vortices are degenerate and do not lend the interpretation of
the baryon number as the linking number of the vortices.
