Charmed Baryon Weak Decays with SU(3) Flavor Symmetry

Abstract

We study the semileptonic and non-leptonic charmed baryon decays with $SU(3)$ flavor symmetry, where the charmed baryons can be ${\mathbf{B}}_c=({\Xi }_c^0,{\Xi }_c^{+},{\Lambda }_c^{+})$, ${\mathbf{B}}_c^{\prime }=({\Sigma }_c^{(++,+,0)},{\Xi }_c^{\prime (+,0)},{\Omega }_c^0)$, ${\mathbf{B}}_{cc}=({\Xi }_{cc}^{++},{\Xi }_{cc}^{+},{\Omega }_{cc}^{+})$, or ${\mathbf{B}}_{ccc}={\Omega }_{ccc}^{++}$. With ${\mathbf{B}}_n^{(\prime )}$ denoted as the baryon octet (decuplet), we find that the ${\mathbf{B}}_c\to {\mathbf{B}}_n^{\prime }{\ell }^{+}{\nu }_{\ell }$ decays are forbidden, while the ${\Omega }_c^0\to {\Omega }^{-}{\ell }^{+}{\nu }_{\ell }$, ${\Omega }_{cc}^{+}\to {\Omega }_c^0{\ell }^{+}{\nu }_{\ell }$, and ${\Omega }_{ccc}^{++}\to {\Omega }_{cc}^{+}{\ell }^{+}{\nu }_{\ell }$ decays are the only existing Cabibbo-allowed modes for ${\mathbf{B}}_c^{\prime }\to {\mathbf{B}}_n^{\prime }{\ell }^{+}{\nu }_{\ell }$, ${\mathbf{B}}_{cc}\to {\mathbf{B}}_c^{\prime }{\ell }^{+}{\nu }_{\ell }$, and ${\mathbf{B}}_{ccc}\to {\mathbf{B}}_{cc}^{(\prime )}{\ell }^{+}{\nu }_{\ell }$, respectively. We predict the rarely studied ${\mathbf{B}}_c\to {\mathbf{B}}_n^{(\prime )}M$ decays, such as $\mathcal{B}({\Xi }_c^0\to {\Lambda }^0{\bar{K}}^0,{\Xi }_c^{+}\to {\Xi }^0{\pi }^{+})=(8.3\pm 0.9,8.0\pm 4.1)\times 10^{-3}$ and $\mathcal{B}({\Lambda }_c^{+}\to {\Delta }^{++}{\pi }^{-},{\Xi }_c^0\to {\Omega }^{-}{K}^{+})=(5.5\pm 1.3,4.8\pm 0.5)\times 10^{-3}$. For the observation, the doubly and triply charmed baryon decays of ${\Omega }_{cc}^{+}\to {\Xi }_c^{+}{\bar{K}}^0$, ${\Xi }_{cc}^{++}\to ({\Xi }_c^{+}{\pi }^{+}$, ${\Sigma }_c^{++}{\bar{K}}^0)$, and ${\Omega }_{ccc}^{++}\to ({\Xi }_{cc}^{++}{\bar{K}}^0,{\Omega }_{cc}^{+}{\pi }^{+},{\Xi }_c^{+}{D}^{+})$ are the favored Cabibbo-allowed decays, which are accessible to the BESIII and LHCb experiments.

29 pages, no figure, a typo in the table corrected

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