1995/06/13 by V. Bernard, Véronique Bernard, A. H. Blin +8 · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-ph #nucl-th
paper · pdf · doi:10.1006/aphy.1996.0081
published as Annals Phys. 249 (1996) 499-531 · 39 pp, LaTeX file, uses epsf, 7 figures (appended as compressed tar files in pion.uu)
arxiv created 1995/06/13 · openalex publication_date 1996/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The momentum-space bosonization method of a Nambu and Jona-Lasinio type model with vector and axial-vector mesons is applied to ππ scattering. Unlike the case in earlier published papers, we obtain the ππ 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 fπ are obtained. The low-energy ππ phase shifts are compared to the available data. We also study the scalar form factor of the pion.