Measurement of the $e^{+}{e}^{-}\to K_S{K}_L{\pi }^0$ cross section in the energy range $\sqrt{s}=1.3–2.0\mathrm{GeV}$

The $e^{+}{e}^{-}\to K_S{K}_L{\pi }^0$ cross section is measured in the center-of-mass energy range $\sqrt{s}=1.3–2.0\mathrm{GeV}$. The analysis is based on the data sample with an integrated luminosity of $33.5{\mathrm{pb}}^{-1}$ collected with the SND detector at the VEPP-2000 $e^{+}{e}^{-}$ collider.

Figure 1

The distribution of the invariant $K_L{\pi }^0$ and $K_S{\pi }^0$ masses (two entries per event) for data events from the energy region $\sqrt{s}=1.600–1.750\mathrm{GeV}$ (points with error bars). The histogram represents the simulated distributions obtained in the model with the $K^{*}(892{)}^0\overline{K}$ intermediate state.

Figure 2

The distribution of the $K_S{K}_L$ invariant mass for data events from the energy region $\sqrt{s}=1.600–1.750\mathrm{GeV}$ (points with error bars). The histogram represents the simulated distributions obtained in the model with the $K^{*}(892{)}^0\overline{K}$ intermediate state. The shaded histogram represents the expected contribution of the $e^{+}{e}^{-}\to \varphi {\pi }^0$ process estimated using MC simulation.

Figure 3

The spectrum of the mass recoiling against the $K_S{\pi }^0$ system for data events from the energy region $\sqrt{s}=1.60–1.75\mathrm{GeV}$. The solid curve represents the result of the fit to the spectrum with a sum of signal and background distributions. The dashed curve represents background distribution.

Figure 4

The Born cross section for the process $e^{+}{e}^{-}\to K_S{K}_L{\pi }^0$ measured in this work (filled squares) in comparison with the BABAR data [4] (open squares). The curve represents the result of the fit to SND data with the VMD model. The band represents the prediction for the $e^{+}{e}^{-}\to K_S{K}_L{\pi }^0$ cross section obtained using isospin relations from the BABAR measurements of the $e^{+}{e}^{-}\to K_S{K}^{\pm }{\pi }^{\mp }$, $e^{+}{e}^{-}\to K^{+}{K}^{-}{\pi }^0$, and $e^{+}{e}^{-}\to \varphi {\pi }^0$ cross sections [3].