${\mathit{D}}_{\mathit{s}}^{+}$ decays to η${\mathrm{\rho }}^{+}$, η’${\mathrm{\rho }}^{+}$, and φ${\mathrm{\rho }}^{+}$

We have observed the previously unseen η${\mathrm{\rho }}^{+}$ and η’ ${\mathrm{\rho }}^{+}$ decay model of the ${\mathit{D}}_{\mathit{s}}^{+}$, and measured branching ratios relative to the φ${\mathrm{\pi }}^{+}$ mode of 2.86±0.${38}_{\mathrm{-}0.38}^{+0.36\mathrm{}}$ and 3.44±0.${62}_{\mathrm{-}0.46}^{+0.44\mathrm{}}$, respectively. In addition, the relative branching ratio for the decay into φ${\mathrm{\rho }}^{+}$ is measured as 1.86±0.${26}_{\mathrm{-}0.40}^{+0.29\mathrm{}}$. Combining these new measurements with previous results and those in the preceding Letter, we account for ≊(79±26)% of ${\mathit{D}}_{\mathit{s}}$ decays.