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Then, via studying the strong decay behavior of the $\\Lambda_c(2940)$ within the $^3P_0$ model, we obtain that the total decay widths of the $\\Lambda_{c1}(\\frac{1}{2}^-,2P)$ and $\\Lambda_{c1}(\\frac{3}{2}^-,2P)$ states are 16.27 MeV and 25.39 MeV, respectively. 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