Nucleon-nucleon potential from instanton holonomies

We derive the nucleon-nucleon interaction from Skyrme model using instanton and product approximations to skyrmion dynamics. In doing so, we also calculate classical potential metric for dynamics in each of approximations. This is first time they have been compared detail results show major disagreements between eight low energy potentials compare them with Paris model. For approximation find strong negative isoscalar isovector spin-orbit potentials, matching phenomenological models our geometric intuition. Results other are mixed, part due zero pion mass limit used this approximation.