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Amplitude analysis and branching-fraction measurement of $D^{+}_{s}rightarrow K^{0}_{S}K^{-}pi^{+}pi^{+}$

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 Added by Duanyou Chen
 Publication date 2021
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and research's language is English




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Using 6.32 fb$^{-1}$ of $e^+e^-$ collision data collected by the BESIII detector at the center-of-mass energies between 4.178 and 4.226 GeV,~an amplitude analysis of the $D^{+}_{s}rightarrow K^{0}_{S}K^{-}pi^{+}pi^{+}$ decays is performed for the first time to determine the intermediate-resonant contributions. The dominant component is the $D_s^+ to K^*(892)^+overline{K}^*(892)^0$ decay with a fraction of $(40.6pm2.9_{rm stat}pm4.9_{rm sys})$%. Our results of the amplitude analysis are used to obtain a more precise measurement of the branching fraction of the $D^{+}_{s}rightarrow K^{0}_{S}K^{-}pi^{+}pi^{+}$ decay, which is determined to be $(1.46pm0.05_{rm stat}pm0.05_{rm sys}$)%.



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We report an amplitude analysis and branching fraction measurement of $D_{s}^{+} rightarrow K^{+}K^{-}pi^{+}$ decay using a data sample of 3.19 $rm fb^{-1}$ recorded with BESIII detector at a center-of-mass energy of 4.178 GeV. We perform a model-independent partial wave analysis in the low $K^{+}K^{-}$ mass region to determine the $K^{+}K^{-}$ S-wave lineshape, followed by an amplitude analysis of our very pure high-statistics sample. The amplitude analysis provides an accurate determination of the detection efficiency allowing us to measure the branching fraction ${cal B}(D_{s}^{+} rightarrow K^{+}K^{-}pi^{+}) = (5.47pm0.08_{{rm stat}}pm0.13_{{rm sys}})%$.
Utilizing a data set corresponding to an integrated luminosity of 6.32~$rm fb^{-1}$, recorded by the BESIII detector at center-of-mass energies between 4.178 and 4.226~GeV, we perform an amplitude analysis of the decay $D_{s}^{+} to K_{S}^{0}pi^{+}pi^{0}$ and determine the relative fractions and phase differences of different intermediate processes, which include $K_{S}^{0}rho(770)^{+}$, $K_{S}^{0}rho(1450)^{+}$, $K^{*}(892)^{0}pi^{+}$, $K^{*}(892)^{+}pi^{0}$, and $K^{*}(1410)^{0}pi^{+}$. Using a double-tag technique, and making an efficiency correction that relies on our knowledge of the phase-space distribution of the decays coming from the amplitude analysis, the absolute branching fraction is measured to be $mathcal{B}(D_{s}^{+} to K_{S}^{0}pi^{+}pi^{0})=(5.43pm0.30_{text{stat}}pm 0.15_{text{syst}})times 10^{-3}$.
Utilizing the dataset corresponding to an integrated luminosity of $2.93$ fb$^{-1}$ at $sqrt{s}=3.773$ GeV collected by the BESIII detector, we report the first amplitude analysis and branching fraction measurement of the $D^0rightarrow K^-pi^+pi^0pi^0$ decay. We investigate the sub-structures and determine the relative fractions and the phases among the different intermediate processes. Our results are used to provide an accurate detection efficiency and allow measurement of ${cal B}(D^0rightarrow K^-pi^+pi^0pi^0) ,=, (8.86 pm 0.13(text{stat}) pm 0.19(text{syst}))%$.
We present an amplitude analysis of the decay $D^{0} rightarrow K^{-} pi^{+} pi^{+} pi^{-}$ based on a data sample of 2.93 ${mbox{,fb}^{-1}}$ acquired by the BESIII detector at the $psi(3770)$ resonance. With a nearly background free sample of about 16000 events, we investigate the substructure of the decay and determine the relative fractions and the phases among the different intermediate processes. Our amplitude model includes the two-body decays $D^{0} rightarrow bar{K}^{*0}rho^{0}$, $D^{0} rightarrow K^{-}a_{1}^{+}(1260)$ and $D^{0} rightarrow K_{1}^{-}(1270)pi^{+}$, the three-body decays $D^{0} rightarrow bar{K}^{*0}pi^{+}pi^{-}$ and $D^{0} rightarrow K^{-}pi^{+}rho^{0}$, as well as the four-body decay $D^{0} rightarrow K^{-}pi^{+}pi^{+}pi^{-}$. The dominant intermediate process is $D^{0} rightarrow K^{-}a_{1}^{+}(1260)$, accounting for a fit fraction of $54.6%$.
The decay $D^{+} rightarrow K_{S}^{0} pi^{+} pi^{+} pi^{-}$ is studied with an amplitude analysis using a data set of 2.93${mbox{,fb}^{-1}}$ of $e^+e^+$ collisions at the $psi(3770)$ peak accumulated by the BESIII detector. Intermediate states and non-resonant components, and their relative fractions and phases have been determined. The significant amplitudes, which contribute to the model that best fits the data, are composed of five quasi-two-body decays $ K_{S}^{0} a_{1}(1260)^{+}$, $ bar{K}_{1}(1270)^{0} pi^{+}$ $ bar{K}_{1}(1400)^{0} pi^{+}$, $ bar{K}_{1}(1650)^{0} pi^{+}$, and $ bar{K}(1460)^{0} pi^{+}$, a three-body decays $K_{S}^{0}pi^{+}rho^{0}$, as well as a non-resonant component $ K_{S}^{0}pi^{+}pi^{+}pi^{-}$. The dominant amplitude is $ K_{S}^{0} a_{1}(1260)^{+}$, with a fit fraction of $(40.3pm2.1pm2.9)%$, where the first and second uncertainties are statistical and systematic, respectively.
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