  SU(2) Yang-Mills theory coupled in a non-minimal way to two scalar fields is
discussed. For the massless scalar fields a family of finite energy solutions
generated by an external, static electric charge is found. Additionally, there
is a single solution which can be interpreted as confining one. Similar
solutions have been obtained in the magnetic sector. In case of massive scalar
fields the Coulomb problem is investigated. We find that asymptotic behavior of
the fields can also, for some values of the parameter of the model, give
confinement of the electric charge. Quite interesting one glueball--meson
coupling gives the linear confining potential. Finally, it is shown that for
one non-dynamical scalar field we derive the color dielectric generalization of
the Pagels--Tomboulis model.
