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DOI: 10.1103/PhysRevD.106.112006

# Amplitude analysis of $D_s^{+} \rightarrow \pi^{+} \pi^{-} \pi^{+}$

...+494
Aug 2021

Utilizing the data set corresponding to an integrated luminosity of $3.19$fb$^{-1}$ collected by the BESIII detector at a center-of-mass energy of 4.178GeV, we perform an amplitude analysis of the $D_s^+\to\pi^+\pi^-\pi^+$ decay.The sample contains 13,797 candidates with a signal purity of $\sim$80%. Theamplitude and phase of the contributing $\pi\pi$ ${\cal S}$ wave are measuredbased on a quasi-model-independent approach, along with the amplitudes andphases of the ${\cal P}$ and ${\cal D}$ waves parametrized by Breit-Wignermodels. The fit fractions of different intermediate decay channels are alsoreported.

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