  We provide analytical and numerical evidence of the existence of classically
stable, string-like configurations in a 2+1 dimensional analog of the Skyrme
model. The model contains a conserved topological charge usually called the
baryon number. Our strings are non-topological solitons which have a constant
baryon number per unit length. The energy per length containing one baryon is,
however, less than the energy of an isolated baryon (radially symmetric ``baby
Skyrmion") in a region of the parameter space, which suggests a degree of
stability for our configurations. In a limiting case, our configuration
saturates a Bogomolnyi-type bound and is degenerate in energy per baryon with
the baby Skyrmion. In another limiting case, the energies are still degenerate
but do not saturate the corresponding Bogomolnyi-type bound. Nonetheless, we
expect the string to be stable here. Both limiting cases are solvable
analytically.

High Energy Physics - Phenomenology;High Energy Physics - Theory;Nuclear Theory