Equivalent SU(3)f approaches for two-body anti-triplet charmed baryon decays

For the two-body ${\bf B}_c\to{\bf B}M$ decays, where B}_c$ denotes anti-triplet charm baryon and B}(M)$ octet (meson), there exist two theoretical studies based on $SU(3)$ flavor [$SU(3)_f$] symmetry. One is irreducible $SU(3)_f$ approach (IRA). In representation, effective Hamiltonian related to initial final states forms amplitudes for B}M$. The other topological-diagram (TDA), $W$-boson emission exchange topologies are drawn parameterized decays. As required by group consideration, we present same number of IRA TDA amplitudes. We can hence relate kinds amplitudes, demonstrate equivalence approaches. find a specific topology only contributing $\Xi_c^0\to{\bf Denoted $E_M$, it plays key role in explaining ${\cal B}(\Xi_c^0\to \Lambda^0 K_S^0,\Sigma^0 K_S^0,\Sigma^+ K^-)$. consider that $\Lambda_c^+ \to n \pi^+$ p\pi^0$ proceed through constructive destructive interfering effects, respectively, which leads B}(\Lambda_c^+ \pi^+)\gg{\cal p\pi^0)$ agreement with data. With exact broken symmetries, predict branching fractions be tested future measurements.