Cross sections for the reactions $e^{+}{e}^{-}\to K_S^0{K}_L^0{\pi }^0$, $K_S^0{K}_L^0\eta$, and $K_S^0{K}_L^0{\pi }^0{\pi }^0$ from events with initial-state radiation

Abstract

We study the processes $e^{+}{e}^{-}\to K_S^0{K}_L^0{\pi }^0\gamma$, $K_S^0{K}_L^0\eta \gamma$, and $K_S^0{K}_L^0{\pi }^0{\pi }^0\gamma$, where the photon is radiated from the initial state, providing cross section measurements for the hadronic final states over a continuum of center-of-mass energies. The results are based on 469~$f{b}^{-1}$ of data collected at or near the ${\rm Y}(4S)$~ resonance with the BaBar detector at SLAC. We present the first measurements of the $e^{+}{e}^{-}\to K_S^0{K}_L^0{\pi }^0$, $K_S^0{K}_L^0\eta$, and $K_S^0{K}_L^0{\pi }^0{\pi }^0$ cross sections up to a center-of-mass energy of 4~GeV, and study their intermediate resonance structures. We observe $J/\psi$ decays to all of these final states for the first time, present measurements of their $J/\psi$ branching fractions, and search for $\psi (2S)$ decays.

arXiv comment18 pages, 27 postscript figures

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• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0\eta$ cross section below $\sqrt{s}=2$ GeV
• Hadronic Footprint of GeV-Mass Dark Matter
• Measurement of the ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to {\mathbf{K}}_{\mathbf{S}}{\mathbf{K}}_{\mathbf{L}}{\pi }^0$ cross section in the energy range $\sqrt{\mathbf{s}}=1.3-2.0$ GeV
• Measurement of the $e^{+}{e}^{-}\to K_S^0{K}^{\pm }{\pi }^{\mp }{\pi }^0$ and $K_S^0{K}^{\pm }{\pi }^{\mp }\eta$ cross sections using initial-state radiation
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions