Study of. pi. -. pi. scattering amplitudes in the reaction. pi. /sup +/p. --> delta. /sup + +/. pi. /sup 0/. pi. /sup 0/ at 8. 0 GeV

An experiment studying the reaction ..pi../sup +/p..--> delta../sup + +/..pi../sup 0/..pi../sup 0/ using the Argonne National Laboratory 1.5-m streamer chamber combined with a lead-glass hodoscope is described. The data were analyzed in terms of ..pi../sup +/..pi../sup -/..--> pi../sup 0/..pi../sup 0/ scattering, and the details of the extrapolation to the pole are discussed. An energy-independent amplitude analysis from threshold to 2.3 GeV is presented. In this analysis the f/sup 0/(1270), the h/sup 0/(2040), and a J/sup P/ = 2/sup +/ state at 1.8 GeV with a width of 0.280 GeV are observed. The amplitude ambiguity arising from analyses of ..pi../sup +/..pi../sup -/..--> pi../sup +/..pi../sup -/ data in the 1.6-GeV region is resolved. An energy-dependent phase-shift analysis from 1.0 to 1.5 GeV is presented.