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

Abstract

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 4.178 GeV, 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%. The amplitude and phase of the contributing $\pi \pi$ $\mathcal{S}$ wave are measured based on a quasi-model-independent approach, along with the amplitudes and phases of the $\mathcal{P}$ and $\mathcal{D}$ waves parametrized by Breit-Wigner models. The fit fractions of different intermediate decay channels are also reported.

arXiv comment14 pages, 6 figures

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• Model-independent partial wave analysis using a massively-parallel fitting framework

Cited by in corpus (4)

• Amplitude analysis of $D_s^{+}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}$
• Measurement of the absolute branching fraction of the inclusive decay $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}X$
• Phenomenological description of the ${\pi }^{-}{\pi }^{+}$ $S$-waves in $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ and $D_s^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decays: The problem of phases
• Precision Measurement of $D_s^{\ast +}$-$D_s^{+}$ Mass Difference