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

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 $Λ_c^+ \to Ξ^0 K^+$ decay, together with the relative phases, where $E_{\bf B}$ gives the main contribution. Besides, we find that ${\cal B}(Λ_c^+\to pπ^0)=(0.8 ^{+0.9}_{-0.8})\times 10^{-4}$, which is within the experimental upper bound. Particularly, we obtain ${\cal B}(Ξ_c^+\toΞ^{0} π^{+})=(9.3 \pm 3.6)\times 10^{-3}$, ${\cal B}(Ξ_c^0\to Ξ^-π^+,Λ^0\bar K^0)=(19.3 \pm 2.8,8.3 \pm 5.0)\times 10^{-2}$ and ${\cal B}(Ξ_c^0\to Ξ^- K^+)=(5.6 \pm 0.8)\times 10^{-4}$, which all agree with the data. For the singly Cabibbo suppressed $Λ_c^+$ decays, we predict that ${\cal B}(Λ_c^+ \to n π^{+},p η^\prime,Σ^{+} K^{0}) =(7.7\pm 2.0,7.1 \pm 1.4,19.1 \pm 4.8)\times 10^{-4}$, which are accessible to the experiments at BESIII, BELLEII and LHCb.

preprint2020arXivOpen access

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