Analysis of the pion–pion scattering data and rho-like mesons

Considering analyticity, unitarity and an influence of coupled channels, experimental data on the isovector P-wave of ππ scattering was analyzed to study ρ-like mesons below 1900 MeV. The analysis indicates that in the energy range 1200–1900 MeV, there are possibly four ρ-like mesons: ρ(1250), ρ(1450), ρ(1600), and ρ(1900). The obtained P-wave ππ-scattering length () matches most to that calculated in the local Nambu–Jona-Lasinio model.