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

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