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  • Study of the \(f_{0}(980)\) through the decay \(D_{s}^{+}\rightarrow \pi^{+}\pi^{+}\pi^{-}\pi^{0}\)
    Ablikim, M; Bertani, M; Bettoni, D; Chang, J F; Chen, C; Chen, H Y; Chen, S J; Chen, S L; Dai, H L; Deng, C Q; Denig, A; Ding, B; Dong, L Y; Du, S X; Fan, Y H; Feng, C Q; Feng, Y T; Gao, H; L Ge; Ge, P T; Gong, W X; Greco, M; Gu, Y T; Harris, F A; Hu, H M; Y Hu; Huang, K X; Huang, X T; Hölzken, F; Ji, Y Y; Jia, X Q; Jia, Z K; Jiang, Y; Jin, S; Kalantar-Nayestanaki, N; Kavatsyuk, M; Larin, P; Lavezzi, L; Li, Hui; Li, K L; Li, W D; Li, X Y; Li, Z J; Liang, Y T; Liu, C; Liu, F; Liu, F H; Liu, Huihui; Liu, J B; Lu, X L; Luo, C L; Luo, T; Ma, H L; Malde, S; Messchendorp, J G; Min, T J; Pacetti, S; Pelizaeus, M; Peters, K; Qin, L Y; Redmer, C F; Rosner, Ch; Shan, W; Shan, X Y; Shen, X Y; Song, W M; Stieler, F; Sun, L; Sun, Z Q; Tang, J; Tian, Y; Wang, S J; Wang, D Y; Wang, W; C Wu; X Wu; Xie, C; Xie, Y H; Xu, X P; Yan, W B; Yan, W C; Yu, C X; G Yu; Yuan, Z Y; Zafar, A A; Zhai, X Y; Zhang, J; Zhang, J Q; Zhang, Jianyu; Zhang, Q Y; Zhang, S H; Zhang, X D; Zhang, X M; Zhao, M G; Zheng, W J; Zheng, Y H; Zhong, B; Zhou, Y Z; Zhu, K S; Zhu, L

    arXiv.org, 06/2024
    Paper

    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 \(\mathcal{B}(D_s^+\to\pi^+\pi^+\pi^-\pi^0|_{{\rm non}-\eta})=(2.04\pm0.08_{\rm stat.}\pm0.05_{\rm syst.})\%\) and \(\mathcal{B}(D_s^+\to\eta\pi^+)=(1.56\pm0.09_{\rm stat.}\pm0.04_{\rm syst.})\%\). Moreover, we measure the relative branching fraction between \(\phi\to\pi^+\pi^-\pi^0\) and \(\phi\to K^+K^-\) to be \(\frac{\mathcal{B}(\phi(1020) \to \pi^+\pi^-\pi^0)}{\mathcal{B}(\phi(1020) \to K^+K^-)}=0.230 \pm 0.014_{\rm stat.} \pm 0.010_{\rm syst.}\), which deviates from the world average value by more than \(4\sigma\).

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