Amplitude analysis and branching fraction measurement of the decay $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$

Abstract

Using a data set corresponding to an integrated luminosity of 6.32~$\mathrm{f}{\mathrm{b}}^{-1}$ recorded by the BESIII detector at center-of-mass energies between 4.178 and 4.226~GeV, an amplitude analysis of the decay $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$ is performed, and the relative fractions and phases of different intermediate processes are determined. The absolute branching fraction of the decay $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$ is measured to be $(0.50\pm 0.04_{\text{stat}}\pm 0.02_{\text{syst}})\%$. The absolute branching fraction of the intermediate process $D_s^{+}\to f_0(980){\pi }^{+},f_0(980)\to {\pi }^0{\pi }^0$ is determined to be $(0.21\pm 0.03_{\text{stat}}\pm 0.03_{\text{syst}})\%$.

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Cited by in corpus (5)

• Hadronic three-body D decays mediated by scalar resonances
• Role of the scalar $f_0(980)$ in the process $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$
• Observation of $D^{+}\to K_S^0{a}_0(980{)}^{+}$ in the amplitude analysis of $D^{+}\to K_S^0{\pi }^{+}\eta$
• Two- and three-body hadronic decays of charmed mesons involving a tensor meson
• The theoretical study of $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$