Motivated by recent progresses in experiments in searching for the [Formula: see text] baryons, we systematically analyze the strong decay behaviors of single heavy baryons [Formula: see text], [Formula: see text] and [Formula: see text]. The two-body strong decay properties of [Formula: see text]-wave, [Formula: see text]-wave and some [Formula: see text]-wave states are studied with the [Formula: see text] model. The results support assigning the recently observed [Formula: see text] and [Formula: see text] as the 2S([Formula: see text]) and 1D([Formula: see text]) states, respectively. In addition, the quantum numbers of many other experimentally observed baryons are also suggested according to their strong decays. Finally, some baryons which have good potentials to be observed in experiments are predicted and the possible decay channels for searching for these predicted states are also suggested.
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