  We argue that the large-$\Nc$ behaviour of the Yukawa couplings in the Skyrme
model involves issues more subtle than the vanishing of linear fluctuations
needed for classical stability of the skyrmion. The chiral fluctuations about
the skyrmion must be quantized in order to reach a conclusion. An improved
quantization procedure allows us to confront this question directly.
  The pion-nucleon coupling constants $\gcup$ (CP conserving) and $\bgcup$ (CP
violating) are calculated in the large-$\Nc$, three-flavour Skyrme model by
direct evaluation of the leading matrix elements appearing in the LSZ reduction
formula. We find that $\gcup \sim \Nc^{{3 \over 2}}$, but that, at most,
$\bgcup \sim m^2_\pi \Nc^{-\shalf}$. These results show that the leading
contribution to the neutron electric dipole moment in large-$\Nc$ Skyrme model
is the direct one ($\Dn \sim \Nc m^2_\pi$), rather than the pion loop
contribution.
