Measurement of the e⁺e⁻ → K_S⁰ K_L⁰ π⁰ cross sections from  √s= 2.000 to 3.080 GeV

Based on e+e− collision data collected at center-of-mass energies of 2000–3080 GeV by the BESIII detector at the BEPCII collider, a partial wave analysis is performed for the e+e− → K0SK0Lπ0 process. The results allow to measure the Born cross sections of the e+e− → K0SK0Lπ0 process, as well as its e+e− → K∗(892)0K¯ 0 and K∗2(1430)0K¯ 0 subprocesses. The Born cross sections for e+e− → K0SK0Lπ0 are consistent with previous BaBar measurements, but with substantially improved precision. The Born cross-section shape of the e+e− → K∗(892)0K¯ 0 process is consistent with a vector meson state around 2.2 GeV with significance 3.2σ. A Breit-Wigner fit determines its mass as MY = (2164.7 ± 9.1 ± 3.1) MeV/c² and its width as ΓY = (32.4 ± 21.0 ± 1.8) MeV.