SU(3) symmetry breaking in charmed baryon decays

Abstract

We explore the breaking effects of the $SU(3)$ flavor symmetry in the singly Cabibbo-suppressed anti-triplet charmed baryon decays of ${\mathbf{B}}_c\to {\mathbf{B}}_{n}M$, with ${\mathbf{B}}_c=({\Xi }_c^0,{\Xi }_c^{+},{\Lambda }_c^{+})$ and ${\mathbf{B}}_n(M)$ the baryon (pseudo-scalar) octets. We find that these breaking effects can be used to account for the experimental data on the decay branching ratios of $\mathcal{B}({\Lambda }_c^{+}\to {\Sigma }^0{K}^{+},{\Lambda }^0{K}^{+})$ and $R_{K/\pi }^{\prime }$=$\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{K}^{+})$/$\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{\pi }^{+})$. In addition, we obtain that $\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{K}^{+},{\Sigma }^{-}{\pi }^{+})=(4.6\pm 1.7,12.8\pm 3.1)\times 10^{-4}$, $\mathcal{B}({\Xi }_c^0\to p{K}^{-},{\Sigma }^{+}{\pi }^{-})=(3.0\pm 1.0,5.2\pm 1.6)\times 10^{-4}$ and $\mathcal{B}({\Xi }_c^{+}\to {\Sigma }^{0(+)}{\pi }^{+(0)})=(10.3\pm 1.7)\times 10^{-4}$, which all receive significant contributions from the breaking effects, and can be tested by the BESIII and LHCb experiments.

Comments: 12 pages, no figure, revised version accepted by EPJC