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Amplitude analysis of $D^{+} rightarrow K_{S}^{0} pi^{+} pi^{+} pi^{-}$

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 Added by Yu Lu
 Publication date 2019
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and research's language is English




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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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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 $54.6%$.
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 $(1.46pm0.05_{rm stat}pm0.05_{rm sys}$)%.
We report the first measurement of the $T$-odd moments in the decay $D^{0} rightarrow K_{S}^{0} pi^{+} pi^{-} pi^{0}$ from a data sample corresponding to an integrated luminosity of $966,{rm fb}^{-1}$ collected by the Belle experiment at the KEKB asymmetric-energy $e^+ e^-$ collider. From these moments we determine the $CP$-violation-sensitive asymmetry $a_{CP}^{Ttext{-odd}} = left[-0.28 pm 1.38 ~(rm{stat.}) ^{+0.23}_{-0.76} ~(rm{syst.})right] times 10^{-3}$, which is consistent with no $CP$ violation. In addition, we perform $a_{CP}^{Ttext{-odd}}$ measurements in different regions of the $D^{0} rightarrow K_{S}^{0} pi^{+} pi^{-} pi^{0}$ phase space; these are also consistent with no $CP$ violation.
Based on a sample of $1.31 times 10^9$ $J/psi$ events collected with the BESIII detector, an amplitude analysis of the isospin-violating decays $eta^prime rightarrow pi^+pi^-pi^0$ and $eta^prime rightarrow pi^0pi^0pi^0$ is performed. A significant $P$-wave contribution from $eta^prime rightarrow rho^{pm} pi^{mp}$ is observed for the first time in $eta^prime rightarrow pi^+pi^-pi^0$. The branching fraction is determined to be ${mathcal B}(eta^prime rightarrow rho^{pm}pi^{mp})=(7.44pm0.60pm1.26pm1.84)times 10^{-4}$, where the first uncertainty is statistical, the second systematic, and the third model dependent. In addition to the nonresonant $S$-wave component, there is a significant $sigma$ meson component. The branching fractions of the combined $S$-wave components are determined to be ${mathcal B}(eta^prime rightarrow pi^+pi^-pi^0)_S=(37.63pm0.77pm2.22pm4.48)times 10^{-4}$ and ${mathcal B}(eta^prime rightarrow pi^0pi^0pi^0)=(35.22pm0.82pm2.54)times 10^{-4}$, respectively. The latter one is consistent with previous BESIII measurements.
We present the first amplitude analysis of the decay $D^{+}_{s} rightarrow pi^{+}pi^{0}eta$. We use an $e^{+}e^{-}$ collision data sample corresponding to an integrated luminosity of 3.19~${mbox{,fb}^{-1}}$ collected with the BESIII detector at a center-of-mass energy of $4.178$ GeV. We observe for the first time the pure $W$-annihilation decays $D_{s}^{+} rightarrow a_{0}(980)^{+}pi^{0}$ and $D_{s}^{+} rightarrow a_{0}(980)^{0}pi^{+}$. We measure the absolute branching fractions $mathcal{B}(D_{s}^{+} rightarrow a_{0}(980)^{+(0)}pi^{0^(+)}, a_{0}(980)^{+(0)} to pi^{+(0)}eta) = (1.46pm0.15_{{rm stat.}}pm0.23_{{rm sys.}})$%, which is larger than the branching fractions of other measured pure $W$-annihilation decays by at least one order of magnitude. In addition, we measure the branching fraction of $D_{s}^{+} rightarrow pi^{+}pi^{0}eta$ with significantly improved precision.
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