Starting from the gauge-invariant quark-antiquark Green function the e
xpression for the nonrelativistic meson scattering amplitude on the ex
ternal gluon field is obtained. The nonperturbative form of this ampli
tude is discussed. It is shown, that nonlocality of the nonperturbativ
e vacuum field distribution plays an essential role. As a concrete exa
mple, the charmonium-nucleon scattering length is found and the possib
ility of the exotic charmonium-nucleus bound states is analyzed.