Abstract
The momentum-space bosonization method of a Nambu and Jona-Lasinio type model with vector and axial-vector mesons is applied toππscattering. Unlike the case in earlier published papers, we obtain theππscattering 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 constantfπare obtained. The low-energyππphase shifts are compared to the available data. We also study the scalar form factor of the pion.
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