  We calculate the static nucleon-antinucleon interaction potential from the
modified Skyrme model with additional $B^{\mu}B_{\mu}$ term using the product
ansatz. The static properties of single baryon are improved in the modified
Skyrme model. State mixing is taken into account by perturbation theory, which
substantially increases the strength of the central attraction. We obtain a
long and mid range potential which is in qualitative agreement with some
phenomenological potentials.
