  We consider soliton solutions of the U(1) gauged Skyrme model with the pion
mass term. The domain of existence of gauged Skyrmions is restricted from above
by the value of the pion mass. Concentrating on the solutions of topological
degree one, we find that coupling to the electromagnetic field breaks the
symmetry of the configurations, the Skyrmions carrying both an electric charge
and a magnetic flux, with an induced dipole magnetic moment. The Skyrmions also
possess an angular momentum, which is quantized in the units of the electric
charge. The mass of the gauged Skyrmions monotonically decreases with increase
of the gauge coupling.
