Babar Collaboration announced two new excited charmed baryons $Xi_c(3055)^+$ and $Xi_c(3123)^+$. We study their strong decays assuming they are D-wave states. Some assignments are excluded by comparing our numerical results with the experimental values of the total widths of $Xi_c(3055)^+$ and $Xi_c(3123)^+$. We also suggest some possible decay modes, which will be helpful to determine the properties of $Xi_c(3055)^+$ and $Xi_c(3123)^+$.
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