Amplitude analysis of $D^{+}\to K_S^0{\pi }^{+}{\pi }^{+}{\pi }^{-}$

Abstract

The decay $D^{+}\to K_S^0{\pi }^{+}{\pi }^{+}{\pi }^{-}$ 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 $(40.3\pm 2.1\pm 2.9)\%$, where the first and second uncertainties are statistical and systematic, respectively.

arXiv comment14 pages, 3 figures

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