Six C-even states, denoted as X, with quantum numbers J^{PC}=0^{-+}, 1^{\pm+}, or 2^{\pm+}, are searched for via the e^+e^-\to\gamma D_{s}^{\pm}D_{s}^{*\mp} process using (1667.39\pm8.84)~\mathrm{pb}^{-1} of e^+e^- collision data collected with the BESIII detector operating at the BEPCII storage ring at center-of-mass energy of \sqrt{s}=(4681.92\pm0.30)~\mathrm{MeV}. No statistically significant signal is observed in... Show more