  Form factors for pions interactions with constituent quarks are investigated
as the leading effective couplings obtained from a one loop background field
method applied to a global color model. Two pion field definitions are
considered and the resulting eleven form factors are expressed in terms of
components of the quark and gluon propagators that compose only two momentum
dependent functions. A momentum dependent Goldberger Treiman relation is also
obtained as one of the ratios between the form factors. The resulting form
factors with pion momenta up to 1.5 GeV are exhibited for different quark
effective masses and two different non-perturbative gluon propagators and they
present similar behavior to fittings of experimental data from nucleons form
factors. The corresponding pseudoscalar averaged quadratic radii (a.q.r.) and
correction to the axial a.q.r. are presented as functions of the sea quark
effective mass, being equal respectively to the scalar and vector ones at the
present level of calculation.
