Search for the radiative decay Ds+→γρ770+

Using 7.33 fb⁻¹ of e⁺e⁻ collision data samples collected with the BESIII detector at center-of-mass energies between 4.128 and 4.226 GeV, we search for the radiative decay D_s⁺→γρ770⁺ for the first time. A hint of D_s⁺→γρ770⁺ is observed with a statistical significance of 2.5σ. The branching fraction of D_s⁺→γρ770⁺ is measured to be (2.2 ± 0.9_stat. ± 0.2_syst.) × 10⁻⁴, corresponding to an upper limit of 6.1 × 10⁻⁴ at the 90% confidence level.