  The functional integration method is used for studying the scattering of a
scalar pion on nucleon with the anomalous magnetic moment in the framework of
nonrenomalizable quantum field theory. In the asymptotic region s {\to}
{\infty}, |t| << s the representation of eikonal type for the amplitude of
pion-nucleon scattering is obtained. The anomalous magnetic moment leads to
additional terms in the amplitude which describe the spin flips in the
scattering process. It is shown that the renormalization problem does not arise
in the asymptotic s {\to} {\infty} since the unrenomalized divergences
disappear in this approximation. Coulomb interference is considered as an
application.
