  We present the study of the influence of the leading contribution from the
kinetic energy of the Skyrme Lagrangian on the scattering of low energy
nucleons. This classical kinetic energy for the 2-body system is computed using
the product ansatz and is correct for low energy, well separated Skyrmions. We
quantize the rotational degrees of freedom of the Skyrmions in order to give
them the right spin and isospin values. We are then able to compute
analytically the scattering angles for some angular momenta polarizations.
