A diagrammatic analysis of two-body charmed baryon decays with flavor symmetry

Abstract: We study the two-body anti-triplet charmed baryon decays based on the diagrammatic approach with $SU(3)$ flavor symmetry. We extract the two $W$-exchange effects as $E_{\bf B}$ and $E^\prime$ that contribute to the $\Lambda_c^+ \to \Xi^0 K^+$ decay, together with the relative phases, where $E_{\bf B}$ gives the main contribution. Besides, we find that ${\cal B}(\Lambda_c^+\to p\pi^0)=(0.8 ^{+0.9}_{-0.8})\times 10^{-4}$, which is within the experimental upper bound. Particularly, we obtain ${\cal B}(\Xi_c^+\to\Xi^{0} \pi^{+})=(9.3 \pm 3.6)\times 10^{-3}$, ${\cal B}(\Xi_c^0\to \Xi^-\pi^+,\Lambda^0\bar K^0)=(19.3 \pm 2.8,8.3 \pm 5.0)\times 10^{-2}$ and ${\cal B}(\Xi_c^0\to \Xi^- K^+)=(5.6 \pm 0.8)\times 10^{-4}$, which all agree with the data. For the singly Cabibbo suppressed $\Lambda_c^+$ decays, we predict that ${\cal B}(\Lambda_c^+ \to n \pi^{+},p \eta^\prime,\Sigma^{+} K^{0}) =(7.7\pm 2.0,7.1 \pm 1.4,19.1 \pm 4.8)\times 10^{-4}$, which are accessible to the experiments at BESIII, BELLEII and LHCb.