Nonleptonic two-body weak decays of charmed baryons

Abstract

We analyze the two-body nonleptonic weak decays of charmed baryons, employing the pole approximation in tandem with the $SU(3{)}_F$ symmetry. We are able to make novel predictions for decay channels of ${\Omega }_c^0\to {\mathbf{B}}_{n}P$ and ${\mathbf{B}}_{cc}\to {\mathbf{B}}_c^{A,S}P$ based on the experimental data of ${\mathbf{B}}_c^A\to {\mathbf{B}}_{n}P$. Here, ${\mathbf{B}}_n$, ${\mathbf{B}}_c^A$, ${\mathbf{B}}_c^S$ and ${\mathbf{B}}_{cc}$ are the low-lying octet, antitriplet charmed, sextet charmed and doubly charmed baryons, respectively, and $P$ is the pseudoscalar meson. Our findings reveal that the fitted effective Wilson coefficient ${\mathcal{C}}_{+}=0.469$ is notably smaller than the naive expectation, and the low-lying pole approximation fails to account for $\mathcal{B}({\Lambda }_c^{+}\to n{\pi }^{+},{\Xi }^0{K}^{+})$, despite consistencies with the soft-meson limit. We further recommend the decay channel ${\Xi }_{cc}^{+}\to {\Xi }_c^0{\pi }^{+}\to {\Xi }^{-}{\pi }^{+}{\pi }^{+}{\pi }^{+}{\pi }^{-}$ for exploring evidence of ${\Xi }_{cc}^{+}$, estimating the branching fraction at $(1.1\pm 0.6)\times 10^{-3}$.

Comments: 52 pages, 4 figures, accepted by PRD