We calculate the nucleon-antinucleon static potential in the Skyrme model using the product ansatz and including some finite $N_C$ (number of colors) corrections. The mid and long range part of the spin-spin and tensor force are correctly given in both iso-spin channels while the central interaction has insufficient mid-range attraction. This is a well known problem of the product ansatz that should be repaired with better Skyrme dynamics.

uuencoded files of revtex and postscript, 21 pages including 8 figures, submitted to Phys.Rev.C