Pion Observables in the Extended NJL Model with Vector and Axial-Vector Mesons

Details Pion Observables in the Extended NJL Model with Vector and Axial-Vector Mesons Pion Observables in the Extended NJL Model with Vector and Axial-Vector Mesons

1995-06-13

arxiv.org/abs/hep-ph/9506309v1

Annals Phys. 249 (1996) 499-531

Physics

High Energy Physics

High Energy Physics - Phenomenology

39 pp, LaTeX file, uses epsf, 7 figures (appended as compressed tar files in pion.uu)

Scientific paper

10.1006/aphy.1996.0081

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.

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