A fresh look at η2(1645), η2(1870), η2(2030) and f2(1910) in (p)over-barp → ηπ0π0π0

There is a large discrepancy between results of Crystal Barrel and WA102 for the branching ratio R = BR[eta(2)(1870) -> a(2)(1320)pi]/BR[eta(2)(1870) -> f(2)(1270)eta]. An extensive re-analysis of the Crystal Barrel data redetermines branching ratios for decays of eta(2)(1870), eta(2)(1645), eta(2)(2030) and f(2)(1910). This re-analysis confirms a small value for R of 1.60 +/- 0.39, inconsistent with the value 20.4 +/- 6.6 of WA102. The likely origin of the discrepancy is that the WA102 data contain a strong f(2)(1910) -> a(2)pi signal as well as eta(2)(1870). There is strong evidence that the eta(2)(1870) has resonant phase variation. A peak in f(2)(1270)a(0)(980) confirms closely the parameters of the a(2)(2255) resonance observed previously. A peak in eta(2)(2030)pi is interpreted naturally in terms of p2(2245) with reduced errors for mass and widthM = 2285 +/- 20(stat) +/- 25(syst) MeV, Gamma = 250 +/- 20(stat) +/- 25(syst) MeV.