  The momentum-space bosonization method of a Nambu and Jona-Lasinio type model
with vector and axial-vector mesons is applied to $\pi\pi$ scattering. Unlike
the case in earlier published papers, we obtain the $\pi\pi$ scattering
amplitude using the linear and nonlinear realizations of chiral symmetry and
fully taking into account the momentum dependence of meson vertices. We show
the full physical equivalence between these two approaches. The chiral
expansion procedure in this model is discussed in detail. Chiral expansions of
the quark mass, pion mass and constant $f_\pi$ are obtained. The low-energy
$\pi \pi $ phase shifts are compared to the available data. We also study the
scalar form factor of the pion.
