A novel method for searching the ${\Xi }_c^{0/+}$-${\Xi }_c^{\prime 0/+}$ mixing effect in the angular distribution analysis of a four-body ${\Xi }_c^{0/+}$ decay

Abstract

In this work, we raised a novel method for searching the ${\Xi }_c^{0+}$-${\Xi }_c^{0+\prime }$ 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 ${\Xi }_c^{0+}$-${\Xi }_c^{0+\prime }$ 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.

Comments: 7 pages, 3 figures