Study of the process e⁺e^-→π⁺π^-π⁰ in the energy region √s from 0.98 to 1.38 GeV

The cross section of the process e⁺e^-→π⁺π^-π⁰ was measured in the Spherical Neutral Detector experiment at the VEPP-2M collider in the energy region √s=980–1380 MeV. The measured cross section, together with the e⁺e^-→π⁺π^-π⁰ and ωπ⁺π^- cross sections obtained in other experiments, was analyzed in the framework of the generalized vector meson dominance model. It was found that the experimental data can be described by a sum of ω, φ mesons and two ω^′ and ω^″ resonances contributions, with masses m_ω^′∼1490, m_ω^″∼1790 MeV and widths Γ_ω^′∼1210, Γ_ω^″∼560 MeV. The analysis of the π⁺π^- invariant mass spectra in the energy region √s from 1100 to 1380 MeV has shown that for their description one should take into account the e⁺e^-→ωπ⁰→π⁺π^-π⁰ mechanism also. The phase between the amplitudes corresponding to the e⁺e^-→ωπ and e⁺e^-→ρπ intermediate states was measured for the first time. The value of the phase is close to zero and depends on energy.