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We study the semileptonic and non-leptonic charmed baryon decays with $SU(3)$flavor symmetry, where the charmed baryons can be ${\bfB}_{c}=(\Xi_c^0,\Xi_c^+,\Lambda_c^+)$, ${\bfB}'_{c}=(\Sigma_c^{(++,+,0)},\Xi_{c}^{\prime(+,0)},\Omega_c^0)$, ${\bfB}_{cc}=(\Xi_{cc}^{++},\Xi_{cc}^+,\Omega_{cc}^+)$, or ${\bfB}_{ccc}=\Omega^{++}_{ccc}$. With ${\bf B}_n^{(\prime)}$ denoted as the baryonoctet (decuplet), we find that the ${\bf B}_{c}\to {\bf B}'_n\ell^+\nu_\ell$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 modesfor ${\bf B}'_{c}\to {\bf B}'_n\ell^+\nu_\ell$, ${\bf B}_{cc}\to {\bfB}'_c\ell^+\nu_\ell$, and ${\bf B}_{ccc}\to {\bfB}_{cc}^{(\prime)}\ell^+\nu_\ell$, respectively. We predict the rarely studied${\bf B}_{c}\to {\bf B}_n^{(\prime)}M$ decays, such as ${\calB}(\Xi_c^0\to\Lambda^0\bar K^0,\,\Xi_c^+\to\Xi^0\pi^+)=(8.3\pm 0.9,8.0\pm4.1)\times 10^{-3}$ and ${\cal B}(\Lambda_c^+\to\Delta^{++}\pi^-,\,\Xi_c^0\to\Omega^- K^+)=(5.5\pm 1.3,4.8\pm 0.5)\times10^{-3}$. 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 $\Omega_{ccc}^{++}\to (\Xi_{cc}^{++}\barK^0,\Omega_{cc}^+\pi^+,\Xi_c^+ D^+)$ are the favored Cabibbo-allowed decays,which are accessible to the BESIII and LHCb experiments.

Charmed Baryon Weak Decays with SU(3) Flavor Symmetry