Nonleptonic two-body weak decays of charmed baryons

Abstract

We systematically analyze the two-body nonleptonic weak decays of charmed baryons, employing the pole approximation in tandem with the $SU(3)_F$ symmetry. Leveraging the K\"orner-Patti-Woo theorem, we demonstrate a significant reduction in the number of free parameters. Within the general pole scenario, we successfully explain most of the experimental data of ${\bf B}_c^A \to {\bf B}_nP$, though some inconsistencies are detected and recommended for reexamination in future research. Assuming the dominance of low-lying intermediate baryons, we are able to make novel predictions for decay channels such as $\Omega_c^0 \to {\bf B}_n P$ and ${\bf B}_{cc}\to {\bf B}_c^{A,S} P$. Here, ${\bf B}_n$, ${\bf B}_{c}^A$, ${\bf B}_c^S$ and ${\bf B}_{cc}$ are the low-lying octet, antitriplet charmed, sextet charmed and doubly charmed baryons, respectively, and $P$ is the pseudoscalar meson. Our findings also reveal that the fitted effective Wilson coefficient ${\cal C}_+=0.469$ is notably smaller than the na\"ive expectation, and the low-lying pole scenario fails to account for ${\cal B}(\Lambda_c^+ \to n \pi^+ , \Xi^0 K^+)$ , 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 $(1.1\pm 0.6)\times 10^{-3}$. The predictions for nonleptonic weak decay channels are compiled in the appendices, providing valuable references for future experimental validation.Comment: 37 pages, 3 figure