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 $E_{\mathbf{B}}$ and $E^{\prime }$ that contribute to the ${\Lambda }_c^{+}\to {\Xi }^0{K}^{+}$ decay, together with the relative phases, where $E_{\mathbf{B}}$ gives the main contribution. Besides, we find that $\mathcal{B}({\Lambda }_c^{+}\to p{\pi }^0)=(0.8_{-0.8}^{+0.9})\times 10^{-4}$, which is within the experimental upper bound. Particularly, we obtain $\mathcal{B}({\Xi }_c^{+}\to {\Xi }^0{\pi }^{+})=(9.3\pm 3.6)\times 10^{-3}$, $\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{\pi }^{+},{\Lambda }^0{\bar{K}}^0)=(19.3\pm 2.8,8.3\pm 5.0)\times 10^{-2}$ and $\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{K}^{+})=(5.6\pm 0.8)\times 10^{-4}$, which all agree with the data. For the singly Cabibbo suppressed ${\Lambda }_c^{+}$ decays, we predict that $\mathcal{B}({\Lambda }_c^{+}\to n{\pi }^{+},p{\eta }^{\prime },{\Sigma }^{+}{K}^0)=(7.7\pm 2.0,7.1\pm 1.4,19.1\pm 4.8)\times 10^{-4}$, which are accessible to the experiments at BESIII, BELLEII and LHCb.

Comments: 12 pages, 2 figures, and 3 tables, version to be published in JHEP