Observation of $D^{+}\to K_S^0{a}_0(980{)}^{+}$ in the amplitude analysis of $D^{+}\to K_S^0{\pi }^{+}\eta$

Abstract

We perform for the first time an amplitude analysis of the decay $D^{+}\to K_S^0{\pi }^{+}\eta$ and report the observation of the decay $D^{+}\to K_S^0{a}_0(980{)}^{+}$ using 2.93 fb${}^{-1}$ of $e^{+}{e}^{-}$ collision data taken at a center-of-mass energy of 3.773 GeV with the BESIII detector. As the only W-annihilation free decay among $D$ to $a_0(980)$-pseudoscalar, $D^{+}\to K_S^0{a}_0(980{)}^{+}$ is the ideal decay to extract the contributions of the external and internal $W$-emission amplitudes involving $a_0(980)$ and study the final-state interactions. The absolute branching fraction of $D^{+}\to K_S^0{\pi }^{+}\eta$ is measured to be $(1.27\pm 0.04_{stat.}\pm 0.03_{syst.})\%$. The product branching fractions of $D^{+}\to K_S^0{a}_0(980{)}^{+}$ with $a_0(980{)}^{+}\to {\pi }^{+}\eta$ and $D^{+}\to {\pi }^{+}{K}_0^{\ast }(1430{)}^0$ with $K_0^{\ast }(1430{)}^0\to K_S^0\eta$ are measured to be $(1.33\pm 0.05_{stat.}\pm 0.04_{syst.})\%$ and $(0.14\pm 0.03_{stat.}\pm 0.01_{syst.})\%$, respectively.

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Cited by in corpus (5)

• Evidence of the low-lying baryon ${\Sigma }^{\ast }(1/2^{-})$ in the process ${\Lambda }_c^{+}\to \eta {\pi }^{+}\Lambda$
• Algorithms for partial wave amplitudes under covariant $L$-$S$ scheme
• Study of the light scalar $a_0(980)$ through the decay $D^0\to a_0(980{)}^{-}{e}^{+}{\nu }_e$ with $a_0(980{)}^{-}\to \eta {\pi }^{-}$
• Roles of $a_0(980)$ and $a_0(1710)$ in Cabibbo-suppressed process $D^{+}\to {\pi }^0{\pi }^{+}\eta$
• Study of $\varphi \to K\bar{K}$ and $K_S^0-K_L^0$ Asymmetry in the Amplitude Analysis of $D_s^{+}\to K_S^0{K}_L^0{\pi }^{+}$ Decays