Study of $D_s^{+}\to f_0(980){\rho }^{+}$ and $\varphi {\pi }^{+}$ decays through $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}{\pi }^0$

Abstract

We perform the first amplitude analysis of $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}{\pi }^0$ decays, based on data samples of electron-positron collisions recorded with the BESIII detector at center-of-mass energies between 4.128 and 4.226~GeV, corresponding to an integrated luminosity of 7.33~fb${}^{-1}$. We report the observation of $D_s^{+}\to f_0(980)\rho (770{)}^{+}$ with a statistical significance greater than 10$\sigma$ and determine the branching fractions $\mathcal{B}(D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}{\pi }^0{|}_{\mathrm{non}-\eta })=(2.04\pm 0.08_{stat.}\pm 0.05_{syst.})\%$ and $\mathcal{B}(D_s^{+}\to \eta {\pi }^{+})=(1.56\pm 0.09_{stat.}\pm 0.04_{syst.})\%$. Moreover, we measure the relative branching fraction between $\varphi \to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $\varphi \to K^{+}{K}^{-}$ to be $\frac{\mathcal{B}(\varphi (1020)\to {\pi }^{+}{\pi }^{-}{\pi }^0)}{\mathcal{B}(\varphi (1020)\to K^{+}{K}^{-})}=0.230\pm 0.014_{stat.}\pm 0.010_{syst.}$, which deviates from the world average value by more than $4\sigma$.

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Cited by in corpus (1)

• Study of $\varphi \to K\bar{K}$ and $K_S^0-K_L^0$ Asymmetry in the Amplitude Analysis of $D_s^{+}\to K_S^0{K}_L^0{\pi }^{+}$ Decays