In this article, we take the Ds3∗(2860)\documentclass[12pt]{minimal}
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\begin{document}$$D_{s3}^*(2860)$$\end{document} and Ds1∗(2860)\documentclass[12pt]{minimal}
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\begin{document}$$D_{s1}^*(2860)$$\end{document} as the 13D3\documentclass[12pt]{minimal}
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\begin{document}$$1^3\mathrm{D}_3$$\end{document} and 13D1\documentclass[12pt]{minimal}
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\begin{document}$$1^3\mathrm{D}_1$$\end{document}cs¯\documentclass[12pt]{minimal}
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\begin{document}$$c\bar{s}$$\end{document} states, respectively, and we study their strong decays with the heavy meson effective theory by including the chiral symmetry-breaking corrections. We can reproduce the experimental data BrDsJ∗(2860)→D∗K/Br\documentclass[12pt]{minimal}
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\begin{document}$$\mathrm{Br}\left( D_{sJ}^*(2860)\right. \left. \rightarrow D^*K\right) /\mathrm{Br}$$\end{document}DsJ∗(2860)→DK=1.10±0.15±0.19\documentclass[12pt]{minimal}
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\begin{document}$$\left( D_{sJ}^*(2860)\rightarrow D K\right) =1.10 \pm 0.15 \pm 0.19$$\end{document} with suitable hadronic coupling constants; the assignment of the DsJ∗(2860)\documentclass[12pt]{minimal}
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\begin{document}$$D_{sJ}^*(2860)$$\end{document} as the Ds3∗(2860)\documentclass[12pt]{minimal}
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\begin{document}$$D_{s3}^*(2860)$$\end{document} is favored, the chiral symmetry-breaking corrections are large. Furthermore, we obtain the analytical expressions of the decay widths, which can be confronted with the experimental data in the future to fit the unknown coupling constants. The predictions of the ratios among the decay widths can be used to study the decay properties of the Ds3∗(2860)\documentclass[12pt]{minimal}
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\begin{document}$$D_{s3}^*(2860)$$\end{document} and Ds1∗(2860)\documentclass[12pt]{minimal}
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\begin{document}$$D_{s1}^*(2860)$$\end{document} so as to identify them unambiguously. On the other hand, if the chiral symmetry-breaking corrections are small, the large ratio R=1.10±0.15±0.19\documentclass[12pt]{minimal}
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\begin{document}$$R=1.10 \pm 0.15 \pm 0.19$$\end{document} requires that the DsJ∗(2860)\documentclass[12pt]{minimal}
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\begin{document}$$D_{sJ}^*(2860)$$\end{document} consists of at least the four resonances, Ds1∗(2860)\documentclass[12pt]{minimal}
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\begin{document}$$D_{s1}^*(2860)$$\end{document}, Ds2∗(2860)\documentclass[12pt]{minimal}
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\begin{document}$$D_{s2}^*(2860)$$\end{document}, Ds2∗′(2860)\documentclass[12pt]{minimal}
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\begin{document}$$D_{s2}^{*\prime }(2860)$$\end{document}, Ds3∗(2860)\documentclass[12pt]{minimal}
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\begin{document}$$D_{s3}^*(2860)$$\end{document}.
