We con rm the existence of the two I G (J PC ) = 0 + (0 ++ ) resonances f 0 (1370) and f 0 (1500) reported by us in earlier analyses. The analysis presented here couples the nal states 0 0 0 , 0 0 and 0 of pp annihilation at rest. It is based on a 3 3 K{matrix. We nd masses and widths of M = (1390 30)MeV , ; = (380 80)MeV and M = (1500 10) MeV , ; = (154 30)MeV , respectively. The product branching ratios for the production and decay i n to 0 0 and of the f 0 (1500) are (1:27 0:33) 10 ;3 and (0:60 0:17) 10 ;3 , respectively.

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