Cross sections for the reactions e+e−→K0SK0Lπ0, K0SK0Lη, and K0SK0Lπ0π0 from events with initial-state radiation

We study the processes e+e−→K0SK0Lπ0γ, K0SK0Lηγ, and K0SK0Lπ0π0γ, 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  fb−1 of data collected at or near the Υ(4S) resonance with the BABAR detector at SLAC. We present the first measurements of the e+e−→K0SK0Lπ0, K0SK0Lη, and K0SK0Lπ0π0 cross sections up to a center-of-mass energy of 4 GeV and study their intermediate resonance structures. We observe J/ψ decays to all of these final states for the first time, present measurements of their J/ψ branching fractions, and search for ψ(2S) decays.