High-statistics study of $K^0_S$ pair production in two-photon collisions
We report a high-statistics measurement of the differential cross section of the process $γγ → K^0_S K^0_S$ in the range 1.05 GeV $≤ W ≤$ 4.00 GeV, where $W$ is the center-of-mass energy of the colliding photons, using 972 fb -1 of data collected with the Belle detector at the $KEKB$ asymmetric-energy $e^+ e^-$ collider operated at and near the $Υ$-resonance region. The differential cross section is fitted by parameterized S-, D 0 - , D 2 - , G 0 - and G 2 -wave amplitudes. In the D 2 wave, the $f_2$(1270), $a_2$(1320) and $f^\prime_2$(1525) are dominant and a resonance, the $f_2$(2200), is also present. The $f_0$(1710) and possibly the $f_0$(2500) are seen in the $S$ wave. The mass, total width and product of the two-photon partial decay width and decay branching fraction to the $K\overline{K}$ state $Γ_{γγ}(ΒK\overline{K})$ are extracted for the $f^\prime_2$(1525), $f_0$(1710), $f_2$(2200) and $f_0$(2500). The destructive interference between the $f_2$(1270) and $a_2$(1320) is confirmed by measuring their relative phase. The parameters of the charmonium states $Χ_{c0}$ and $Χ_{c2}$ are updated. Possible contributions from the $Χ_{c0}(2P)$ and $Χ_{c2}(2P)$ states are discussed. A new upper limit for the branching fraction of the $P-$ and $CP-$violating decay channel $η_c → K^0_S K^0_S$ is reported. The detailed behavior of the cross section is updated and compared with $QCD$-based calculations.