We observe the process $\mathrm{\Upsilon }(2S)\to D_s^{(*)+}{D}_{sJ}^{-}$ and continuum production $e^{+}{e}^{-}\to D_s^{(*)+}{D}_{sJ}^{-}$ at $\sqrt{s}=10.52\mathrm{GeV}$ (and their charge conjugates) using the data samples collected by the Belle detector at KEKB, where $D_{sJ}^{-}$ is $D_{s1}(2536{)}^{-}$ or $D_{s2}^{*}(2573{)}^{-}$. Both $D_{sJ}^{-}$ states are identified through their decay into $\overline{K}{\overline{D}}^{(*)}$. We measure the products of branching fractions $\mathcal{B}(\mathrm{\Upsilon }(2S)\to D_s^{(*)+}{D}_{sJ}^{-})\mathcal{B}(D_{sJ}^{-}\to \overline{K}{\overline{D}}^{(*)})$ and the Born cross sections ${\sigma }^{\text{Born}}(e^{+}{e}^{-}\to D_s^{(*)+}{D}_{sJ}^{-})\mathcal{B}(D_{sJ}^{-}\to \overline{K}{\overline{D}}^{(*)})$, and then compare the ratios $R_1\equiv \mathcal{B}(\mathrm{\Upsilon }(2S)\to D_s^{(*)+}{D}_{sJ}^{-})/\mathcal{B}(\mathrm{\Upsilon }(2S)\to {\mu }^{+}{\mu }^{-})$ for $\mathrm{\Upsilon }(2S)$ decays and $R_2\equiv {\sigma }^{\text{Born}}(e^{+}{e}^{-}\to D_s^{(*)+}{D}_{sJ}^{-})/{\sigma }^{\text{Born}}(e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-})$ for continuum production. We obtain $R_1/R_2=9.7\pm 2.3\pm 1.1$, $6.8\pm 2.1\pm 0.8$, $10.2\pm 3.3\pm 2.5$, and $3.4\pm 2.1\pm 0.8$ for the $D_s^{+}{D}_{s1}(2536{)}^{-}$, $D_s^{*+}{D}_{s1}(2536{)}^{-}$, $D_s^{+}{D}_{s2}^{*}(2573{)}^{-}$, and $D_s^{*+}{D}_{s2}^{*}(2573{)}^{-}$ final states in the $D_{sJ}^{-}\to K^{-}{\overline{D}}^{(*)0}$ modes, respectively. The measured $R_1/R_2$ values indicate that the strong decay dominates in $\mathrm{\Upsilon }(2S)\to D_s^{(*)+}{D}_{sJ}^{-}$ processes. We also measure the ratios of branching fractions $\mathcal{B}(D_{s1}(2536{)}^{-}\to K_S^0{D}^{*}(2010{)}^{-})/\mathcal{B}(D_{s1}(2536{)}^{-}\to K^{-}{D}^{*}(2007{)}^0)=0.48\pm 0.07\pm 0.02$ and $\mathcal{B}(D_{s2}^{*}(2573{)}^{-}\to K_S^0{D}^{-})/\mathcal{B}(D_{s2}^{*}(2573{)}^{-}\to K^{-}{D}^0)=0.49\pm 0.10\pm 0.02$, which are consistent with isospin symmetry. The second ratio is the first measurement of this quantity. Here, the first uncertainties are statistical and the second are systematic.

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• Hadronic decays
• Quark model
• Strong interaction
• Total cross sections
• Charmed mesons
• Heavy mesons
• Quarkonia