Improved search for $ψ(3770) \to γη_{c}(1S, 2S)$ radiative transitions

Based on an integrated luminosity of $20.3~\mathrm{fb}^{-1}$ of $e^{+}e^{-}$ annihilation data collected at a center-of-mass energy of $3.773~\rm{GeV}$ with the BESIII detector operating at the BEPCII collider, an improved search for the radiative transitions $ψ(3770) \to γη_{c}(1S, 2S)$ is performe