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 ${\bf B}_{c}=(Ξ_c^0,Ξ_c^+,Λ_c^+)$, ${\bf B}'_{c}=(Σ_c^{(++,+,0)},Ξ_{c}^{\prime(+,0)},Ω_c^0)$, ${\bf B}_{cc}=(Ξ_{cc}^{++},Ξ_{cc}^+,Ω_{cc}^+)$, or ${\bf B}_{ccc}=Ω^{++}_{ccc}$. With ${\bf B}_n^{(\prime)}$ denoted as the baryon octet (decuplet), we find that the ${\bf B}_{c}\to {\bf B}'_n\ell^+ν_\ell$ decays are forbidden, while the $Ω_c^0\to Ω^-\ell^+ν_\ell$, $Ω_{cc}^+\toΩ_c^0\ell^+ν_\ell$, and $Ω_{ccc}^{++}\to Ω_{cc}^+\ell^+ν_\ell$ decays are the only existing Cabibbo-allowed modes for ${\bf B}'_{c}\to {\bf B}'_n\ell^+ν_\ell$, ${\bf B}_{cc}\to {\bf B}'_c\ell^+ν_\ell$, and ${\bf B}_{ccc}\to {\bf B}_{cc}^{(\prime)}\ell^+ν_\ell$, respectively. We predict the rarely studied ${\bf B}_{c}\to {\bf B}_n^{(\prime)}M$ decays, such as ${\cal B}(Ξ_c^0\toΛ^0\bar K^0,\,Ξ_c^+\toΞ^0π^+)=(8.3\pm 0.9,8.0\pm 4.1)\times 10^{-3}$ and ${\cal B}(Λ_c^+\to Δ^{++}π^-,\,Ξ_c^0\toΩ^- K^+)=(5.5\pm 1.3,4.8\pm 0.5)\times 10^{-3}$. For the observation, the doubly and triply charmed baryon decays of $Ω_{cc}^{+}\to Ξ_c^+\bar K^0$, $Ξ_{cc}^{++}\to (Ξ_c^+π^+$, $Σ_c^{++}\bar K^0)$, and $Ω_{ccc}^{++}\to (Ξ_{cc}^{++}\bar K^0,Ω_{cc}^+π^+,Ξ_c^+ D^+)$ are the favored Cabibbo-allowed decays, which are accessible to the BESIII and LHCb experiments.