Cross sections for the reactions e^+ e^− → K^0_S K^0_L π^0, K^0_S K^0_L η, and K^0_S K^0_L π^0 π^0 from events with initial-state radiation

We study the processes e^+ e^− → K^0_S K^0_L π^0 γ, K^0_S K^0_L ηγ, and K^0_S K^0_L π^0 π^0 γ, 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^− → K^0_S K^0_L π^0, K^0_S K^0_L η, and K^0_S K^0_L π^0 π^0 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.