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BESIII collaboration has recently reported the first time measurement of thedecay asymmetry $\alpha(\Lambda_c^+ \to \Xi^0 K^+)$ with a value $0.01 \pm0.16(stat.) \pm 0.03(syst.)$. In contrast, prior studies of global analysesbased on the flavor $SU(3)_F$ symmetry with real decay amplitudes predict it tobe close to one. The new measurement implies a significant strong phase shiftbetween S- and P-wave amplitudes. This calls for a new full analysis withcomplex decay amplitudes to accommodate for strong phases. We find that such ananalysis is possible to the leading order with the help of color symmetry toreduce the number of independent decay amplitudes. The establishment of sizablestrong phases is an indispensable ingredient for future investigations into CPviolation. While explaining a small value for $\alpha(\Lambda_c^+ \to {\Xi^0K^+})$, a notable discrepancy emerges in the branching ratio for $\Xi_c^0 \to\Xi^- \pi^+$ for a good overall fit. The direct relationship between $\Gamma(\Lambda_c^+ \to \Lambda e^+\nu_e)$ and $\Gamma (\Xi_c^0 \to \Xi^- e^+\nu_e)$as well as newly discovered $SU(3)_F$ relations collectively indicate anunderestimation of ${\cal B}(\Xi_c^0 \to \Xi^- \pi^+)$ in experimental findingswhich needs to be further tested by new data.

Strong phase in $\Lambda_c^+ \to \Xi^0 K^+$ decay with flavor $SU(3)_F$ symmetry