Studying two-body nonleptonic weak decays of hyperons with topological diagram approach

Many decays of light baryons consisting of light u, d, s quarks have been measured, and these measurements will help us to understand the decay properties of light baryons. In this work, we study two-body nonleptonic weak decays of light baryon octets (T ₈) and baryon decuplets (T ₁₀) by the topological diagram approach (TDA) under the SU(3) flavor symmetry for the first time. We find that (1) the TDA and the SU(3) irreducible representation approach (IRA) match consistently in $T_{10}\to T_{8,10}^{\left(\prime \right)}{P}_8$ (P ₈ is the light pseudoscalar meson octet); (2) almost all relevant not-yet-measured $B(T_{10}\to T_8{P}_8)$ may be predicted by using three experimental data of $B({\Omega }^{-}\to {\Xi }^0{\pi }^{-},{\Xi }^{-}{\pi }^0,{\Lambda }^0{K}^{-})$, and the upper limits of $B(T_{10}\to T_{10}^{\prime }{\pi }^{-})$ may be obtained from the experimental upper limit of $B({\Omega }^{-}\to {\Xi }^{\ast 0}{\pi }^{-})$ by both the TDA and the IRA together, nevertheless, all new predicted branching ratios are too small to be reached in current experiments; (3) T ₈ → T ₈′P ₈ decays are quite complex in terms of the TDA, and we find that W-exchange diagrams give large and even dominant contributions by using relevant experimental data and the isospin relations. (paper)