  In this work, we raised a novel method for searching the
$\Xi^{0+}_c$-$\Xi_c^{0+\prime}$ mixing effect in an angular distribution
analysis of the $\Xi_c\to\Xi^{(\prime)}(\Lambda \pi)\ell^+\nu$ decay, where the
mixing effect can be observed by the appearance of the $\Xi^{\prime}$ resonant.
Armed with this angular distribution, the decay branching fraction and the
forward-backward asymmetry are predicted. We pointed out that the
forward-backward asymmetry, as a function of the invariant mass square of
$\Xi^{(\prime)}$ and the $\Xi^{0+}_c$-$\Xi_c^{0+\prime}$ mixing angle
$\theta_c$, can be used to distinguish the two resonants $\Xi^{(\prime)}$ and
even provide a possibility to determine the exact mixing angle.
