Cross sections for the reactions e+e−→KS0KL0 , KS0KL0π+π− , KS0KS0π+π− , and KS0KS0K+K− from events with initial-state radiation

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We study the processes ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{K}_{S}^{0}{K}_{L}^{0}\ensuremath{\gamma}$, ${K}_{S}^{0}{K}_{L}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}\ensuremath{\gamma}$, ${K}_{S}^{0}{K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}\ensuremath{\gamma}$, and ${K}_{S}^{0}{K}_{S}^{0}{K}^{+}{K}^{\ensuremath{-}}\ensuremath{\gamma}$, where the photon is radiated from the initial state, providing cross section measurements for the hadronic states over a continuum of center-of-mass energies. The results are based on $469\text{ }{\text{fb}}^{\ensuremath{-}1}$ of data collected with the BABAR detector at SLAC. We observe the $\ensuremath{\phi}(1020)$ resonance in the ${K}_{S}^{0}{K}_{L}^{0}$ final state and measure the product of its electronic width and branching fraction with about 3% uncertainty. We present a measurement of the ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{K}_{S}^{0}{K}_{L}^{0}$ cross section in the energy range from 1.06 to 2.2 GeV and observe the production of a resonance at 1.67 GeV. We present the first measurements of the ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{K}_{S}^{0}{K}_{L}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, ${K}_{S}^{0}{K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, and ${K}_{S}^{0}{K}_{S}^{0}{K}^{+}{K}^{\ensuremath{-}}$ cross sections and study the intermediate resonance structures. We obtain the first observations of $J/\ensuremath{\psi}$ decay to the ${K}_{S}^{0}{K}_{L}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, ${K}_{S}^{0}{K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, and ${K}_{S}^{0}{K}_{S}^{0}{K}^{+}{K}^{\ensuremath{-}}$ final states.

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