  We consider various forms of the mass term that can be used in the Skyrme
model and their implications on the properties of baryonic states. We show
that, with an appropriate choice for the mass term, without changing the
asymptotic behaviour of the profile functions at large $r$, we can considerably
reduce or increase the mass term's contribution to the classical mass of the
solitons. We find that multibaryon configurations can be classically bound at
large baryon numbers for some choices of this mass term.
