Amplitude analysis and branching fraction measurement of the decay Ds+ → π+π0π0.

Using a data set corresponding to an integrated luminosity of 6.32 fb⁻¹ recorded by the BESIII detector at center-of-mass energies between 4.178 and 4.226 GeV, an amplitude analysis of the decay D s + → π⁺π⁰π⁰ is performed, and the relative fractions and phases of different intermediate processes are determined. The absolute branching fraction of the decay D s + → π⁺π⁰π⁰ is measured to be (0.50 ± 0.04_stat ± 0.02_syst)%. The absolute branching fraction of the intermediate process D s + → f₀(980)π⁺, f₀(980) → π⁰π⁰ is determined to be (0.28 ± 0.04_stat ± 0.04_syst)%. [ABSTRACT FROM AUTHOR]