  The large-$N_c$ limit of the meson-baryon effective Lagrangian is shown to
reduce to a semiclassical field theory. A chiral bag structure emerges
naturally in the $N_c\rightarrow \infty$ limit. A possible connection between
the chiral bag picture and the Skyrme model is discussed. The classical
meson-baryon theory is used to reproduce the $M_\pi^3$ non-analytic correction
to the baryon mass obtained previously as a loop correction in chiral
perturbation theory.
