Three neutral resonances Xi _c(2923)^0, Xi _c(2939)^0, and Xi _c(2965)^0 have been observed in the Lambda _c^+ K^- mass spectrum by the LHCb Collaboration. Given the Xi _c and Xi _c^prime mass spectra predicted by the constituent quark models, these three resonances are tentatively treated as the lambda -mode Xi _c(2S), Xi _c^prime (2S), Xi _c^{prime *}(2S), and Xi _c^prime (1P) states, and their strong decay behaviors are calculated within the ^3P_0 model. Our results indicate that the Xi _c(2923)^0 and Xi _c(2939)^0 can be clarified into the J^P=3/2^- and 5/2^-Xi _c^prime (1P) states respectively, and the Xi _c(2965)^0 can be regarded as the J^P=1/2^+Xi _c^prime (2S) state. Also, we suggest that the previous observed Xi _c(2930) may be the overlap of two structures Xi _c(2923) and Xi _c(2939), and the Xi _c(2970) should be the same state as Xi _c(2965). Other theoretical information on the missing Xi _c(2S), Xi _c^{prime *}(2S), and Xi _c^prime (1P) states may be helpful for future experimental searches.