Searches for CP violation and ππ S wave in the Dalitz-plot analysis of D0→π+π-π0

In e+e- collisions recorded using the CLEOII.V detector we have studied the Cabibbo suppressed decay of D0 -> pi+pi-pi0 with the initial flavor of the D0 tagged by the decay D*+ -> D0pi+. We use the Dalitz-plotanalysis technique to measure the resonant substructure in this final state and observe \rho\ piand non-resonant contributions by fitting for their amplitudes and relative phases. We describe the pipi S-wavewith a K-matrix formalism and limit this contribution to the rate to be pi+pi-pi+ decay. Using the amplitudes and phases from this analysis, we calculate an integrated CP asymmetry of 0.01^{+0.09}_{-0.07} +/- 0.05.