  Non-topological solitons such as Q-balls and Q-shells have been studied for
scalar fields invariant under global and gauged U(1) symmetries. We generalize
this framework to include a Proca mass for the gauge boson, which can arise
either from spontaneous symmetry breaking or via the St\"uckelberg mechanism. A
heavy (light) gauge boson leads to solitons reminiscent of the global (gauged)
case, but for intermediate values these Proca solitons exhibit completely novel
features such as disconnected regions of viable parameter space and Q-shells
with unbounded radius. We provide numerical solutions and excellent analytic
approximations for both Proca Q-balls and Q-shells. These allow us to not only
demonstrate the novel features numerically, but also understand and predict
their origin analytically.
