Further analysis of overlinepp → 3π 0, ηηπ0 and ηπ0π0 at rest

A fresh analysis is reported of high statistics Crystal Barrel data on overlinepp → 3π ⁰, ηηπ⁰, ηπ⁰π⁰ and ηη' π⁰ at rest. This analysis is made fully consistent with CERN-Munich data on π⁺π^- → π⁺π^- up to a mass of 1900 MeV, with GAMS data on π⁺π^- → π⁰π⁰, and with BNL and ANL data on π ⁺π ^- → K overlineK, which are fitted simultaneously. There is evidence for an I = 0, J^PC = 2 ⁺⁺ resonance with weak (≤ 7%) coupling to ππ, strong coupling to both ϱϱ and ωω and pole position 1534 - i90 MeV. This resonance agrees qualitatively with GAMS and VES data on ππ → ωω, previously interpreted in terms of a resonance at 1590-1640 MeV. New masses and widths for (A) ƒ ₀(1370) and (B) ƒ ₀(1500) , fitted to all eight data sets, are M_A = 1300 ± 15 Mev, Γ_A = 230 ± 15 MeV, M_B = 1500 ± 8 MeV, Γ_B = 132 ± 15 MeV. Branching ratios to ππ and ηη are given, and differ significantly from earlier determinations because of a new procedure.