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New resonance $\Lambda_c(2860)^+$, reported by LHCb, is a key to establish\emph{D}-wave charmed and charmed-strange baryon families. In this work, wefirst carry out an analysis of mass spectra of the $\lambda$-mode excitedcharmed and charmed-strange baryon states, which may reveal the relation of$\Lambda_c(2860)^+$, $\Lambda_c(2880)^+$, $\Xi_c(3055)^+$ and $\Xi_c(3080)^+$,$i.e.$, $\Lambda_c(2860)^+$ and $\Lambda_c(2880)^+$ can form a \emph{D}-wavedoublet $[3/2^+,5/2^+]$ while $\Xi_c(3055)^+$ and $\Xi_c(3080)^+$ are thestrange partners of $\Lambda_c(2860)^+$ and $\Lambda_c(2880)^+$, respectively.Further study of their two-body Okubo-Zweig-Iizuka-allowed decays supports$\Lambda_c(2860)^+$ and $\Xi_c(3055)^+$ as the \emph{D}-wave charmed andcharmed-strange baryons, respectively, with $J^P=3/2^+$. For$\Lambda_c(2880)^+$ and $\Xi_c(3080)^+$, however, there exist some difficultiesunder the \emph{D}-wave assignment with $J^P=5/2^+$ since the experimentalwidths and some ratios of partial width of $\Lambda_c(2880)^+$ and$\Xi_c(3080)^+$ cannot be reproduced in our calculation.

Newly observed $\Lambda_c(2860)^+$ at LHCb and its \emph{D}-wave partners $\Lambda_c(2880)^+$, $\Xi_c(3055)^+$ and $\Xi_c(3080)^+$