Search for C -even states decaying to Ds± Ds∗ with masses between 4.08 and 4.32 GeV/c2

Six C-even states, denoted as X, with quantum numbers JPC=0-+, 1±+, or 2±+, are searched for via the e+e-→γDs±Ds∗ process using (1667.39±8.84) pb-1 of e+e- collision data collected with the BESIII detector operating at the BEPCII storage ring at center-of-mass energy of s=(4681.92±0.30) MeV. No statistically significant signal is observed in the mass range from 4.08 GeV/c2 to 4.32 GeV/c2. The upper limits of σ[e+e-→γX]·B[X→Ds±Ds∗] at a 90% confidence level are determined.