In this article, we assume that the (0⁺,1⁺) strange-bottom mesons are the conventional b\bar{s} mesons, and calculate the electromagnetic coupling constants d, g₁, g₂, and g₃ using the light-cone QCD sum rules. Then we study the radiative decays B_{s0 →} B_s* γ, B_{s1→ ^{Bs* γ,}} B_{s1 →} B_s* γ, and B_s1→ B_{s0 ^γ}, and observe that the widths are rather narrow. We can search for the (0⁺,1⁺) strange-bottom mesons in the invariant B_s π⁰ and B_s*π⁰ mass distributions in the strong
decays or in the invariant B_s*γ and B_s^γ mass distributions in the radiative decays.