  In the large $N_c$ limit, the $\Lambda_b$ and $\Lambda_c$ can be treated as
bound states of chiral solitons and mesons containing a heavy quark. We show
that the soliton and heavy meson are bound in an attractive harmonic oscillator
potential. The Isgur-Wise function for $\Lambda_b\rightarrow\Lambda_c\,
e^-\,\bar\nu_e$ decay is computed in the large $N_c$ limit. Corrections to the
form factor which depend on $m_N/ m_Q$ can be summed exactly ($m_N$ and $m_Q$
are the nucleon and heavy quark masses). We find that this symmetry breaking
correction at zero recoil is only $1\%$.
