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Using 385 fb^-1 of e^+e^- collisions at the CM energies of around 10.6 GeVrecorded by the BaBar experiment, we study the amplitudes of the singlyCabibbo-suppressed decay D^0 --> K^- K^+ pi^0. We measure the strong phasedifference between the D0bar and D0 decays to the K^*(892)^+ K^- state to be-35.5 +/- 1.9 (stat) +/- 2.2 (syst) degrees, and their amplitude ratio to be0.599 +/- 0.013 (stat) +/- 0.011 (syst). We observe significant contributionsfrom the Kpi and K^-K^+ scalar and vector amplitudes, and analyze the momentsof the cosine of the helicity angle in these systems. We find no evidence forcharged, scalar kappa(800) state, nor for higher spin states. We also perform amodel-independent partial wave analysis of the K^-K^+ system in a limited massrange around 1 GeV/c^2. We study several models for Kpi S-wave amplitude, anddescribe which one is favored by our data.

Amplitude Analysis of the decay D^0 --> K^- K^+ pi^0