Abstract
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 $(40.3\pm2.1\pm2.9)\%$, where the first and second uncertainties are statistical and systematic, respectively.
Highlights
Hadronic decays of mesons with charm are an important tool for understanding the dynamics of the strong interaction in the low energy regime
We have measured D → AP decays via an amplitude analysis of the decay Dþ → K0Sπþπþπ−, which is expected to be dominated by Dþ → K0Sa1ð1260Þþ
We present an amplitude analysis of the decay Dþ → K0Sπþπþπ− to study the resonant substructures and nonresonant components, where the amplitude model is constructed using the covariant tensor formalism [5]
Summary
Hadronic decays of mesons with charm are an important tool for understanding the dynamics of the strong interaction in the low energy regime. Experimental measurements can help to refine theoretical models of these phenomena [1,2,3]. We have measured D → AP decays via an amplitude analysis of the decay Dþ → K0Sπþπþπ− (the inclusion of charge conjugate reaction is implied throughout the paper), which is expected to be dominated by Dþ → K0Sa1ð1260Þþ. The measurements of the intermediate processes containing K1ð1270Þ and K1ð1400Þ are helpful for understanding the mixture between these two axial-vector kaons [3]. We present an amplitude analysis of the decay Dþ → K0Sπþπþπ− to study the resonant substructures and nonresonant components, where the. Amplitude model is constructed using the covariant tensor formalism [5]
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