  We calculate nucleon-nucleon scattering at low energies and large impact
parameter in the Skyrme model within the framework for soliton scattering
proposed by Manton. This corresponds to a truncation of the degrees of freedom
to the twelve collective coordinates which essentially describe the rigid body
motion of the pair of Skyrmions. We take to its logical conclusion the result
that the induced kinetic energy for these collective coordinates in the product
ansatz behaves as one over the separation and hence can dominate over the
potential. This behaviour implies to leading order that we can drop the
potential and the resulting motion reduces simply to geodesic motion on the
manifold parametrized by the variables of the product ansatz. We formulate the
semi-classical quantization of these variables to obtain the motion
corresponding to the nucleonic states of the Skyrme model. This is the
appropriate description for the nucleons in order to consider their scattering
within Manton's framework in the semi-classical approximation. We investigate
the implications for the scattering of nucleons with various initial
polarizations using the approximation method of ``variation of constants''.
