Topological Diagrams and Hadronic Weak Decays of Charmed Baryons

Inspired by the recent BESIII measurement of the decay asymmetry and the phase shift between $S$- and $P$-wave amplitudes in the decay ${\mathrm{\Lambda }}_c^{+}\to {\mathrm{\Xi }}^0{K}^{+}$, we perform a global fit to the experimental data of charmed baryon decays based on the topological diagrammatic approach (TDA) which has the advantage that it is more intuitive and easier to implement model calculations. The measured branching fractions and decay asymmetries are well accommodated in TDA except for three modes, in particular, the predicted $\mathcal{B}({\mathrm{\Xi }}_c^0\to {\mathrm{\Xi }}^{-}{\pi }^{+})=(2.83\pm 0.10)\mathrm{\%}$ is larger than its current value. The predicted magnitudes of $S$- and $P$-wave amplitudes and their phase shifts are presented for measured and yet-measured modes which can be tested in forthcoming experiments.