arXiv:2104.09131·v3·High Energy Physics — Experiment

Study of the decay $D^{+} \to K^{*} (892)^{+} K_{S}^{0}$ in $D^{+} \to K^{+} K_{S}^{0} π^{0}$

BESIII Collaboration: M. Ablikim🇨🇳 · M. N. Achasov🇷🇺 · P. Adlarson🇸🇪 · S. Ahmed🇩🇪 · M. Albrecht🇩🇪 · R. Aliberti🇩🇪 · A. Amoroso🇮🇹 · M. R. An🇨🇳 · Q. An🇨🇳 · X. H. Bai🇨🇳 · Y. Bai🇨🇳 · O. Bakina🇷🇺

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Abstract

Based on an $e^{+} e^{-}$ collision data sample corresponding to an integrated luminosity of 2.93 $fb^{- 1}$ collected with the BESIII detector at $s = 3.773 GeV$ , the first amplitude analysis of the singly Cabibbo-suppressed decay $D^{+} \to K^{+} K_{S}^{0} π^{0}$ is performed. From the amplitude analysis, the $K^{*} (892)^{+} K_{S}^{0}$ component is found to be dominant with a fraction of $(57.1 \pm 2.6 \pm 4.2) %$ , where the first uncertainty is statistical and the second systematic. In combination with the absolute branching fraction $B (D^{+} \to K^{+} K_{S}^{0} π^{0})$ measured by BESIII, we obtain $B (D^{+} \to K^{*} (892)^{+} K_{S}^{0}) = (8.69 \pm 0.40 \pm 0.64 \pm 0.51) \times 1 0^{- 3}$ , where the third uncertainty is due to the branching fraction $B (D^{+} \to K^{+} K_{S}^{0} π^{0})$ . The precision of this result is significantly improved compared to the previous measurement.