Measurement of the branching ratios for the decays of D_s⁺ to ηπ⁺, η′π⁺, ηρ⁺, and η′ρ⁺

Using a data sample with an integrated luminosity of 3.9 fb^-1 collected in e⁺e^- annihilation with the CLEO-II detector at the Cornell Electron Storage Ring, we have measured the branching ratios for the decay modes D_s⁺→(η,η′)π⁺ and D_s⁺→(η,η′)ρ⁺ relative to D_s⁺→φ⁺. These decay modes are among the most common hadronic decays of the D_s⁺ , and can be related by factorization to the semileptonic decays D_s⁺ →(η,η′)ℓ⁺ν_l. The results obtained are compared with previous CLEO results and with the branching ratios measured for the related semileptonic decays. We also report results on the Cabibbo-suppressed decays of the D⁺ to the same final states.