Studying Two-body Nonleptonic Weak Decays of Hyperons with Topological Diagram Approach

Abstract

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 octet $(T_8)$ and baryon decuplet $(T_{10})$ 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 $T_{10}\to T_{8,10}^{{(}^{\prime })}{P}_8$ ($P_8$ is the light pseudoscalar meson octet); (2) almost all relevant not-yet-measured $\mathcal{B}(T_{10}\to T_8{P}_8)$ may be predicted by using three experimental data of $\mathcal{B}({\Omega }^{-}\to {\Xi }^0{\pi }^{-},{\Xi }^{-}{\pi }^0,{\Lambda }^0{K}^{-})$, and the upper limits of $\mathcal{B}(T_{10}\to T{{}^{\prime }}_{10}{\pi }^{-})$ may be obtained from the experimental upper limit of $\mathcal{B}({\Omega }^{-}\to {\Xi }^{\ast 0}{\pi }^{-})$ by both the TDA and the IRA together, nevertheless, all new predicted branching ratios are too small to br reached in current experiments; (3) $T_8\to T_8^{\prime }{P}_8$ 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.

arXiv comment14 pages, 1 figure

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Cited by in corpus (3)

• Four-body Semileptonic Charm Decays $D\to P_1{P}_2{\ell }^{+}{\nu }_{\ell }$ Based on SU(3) Flavor Analysis
• $\Delta S=2$ nonleptonic hyperon decays as probes of new physics
• Analysis of the nonleptonic two-body decays of the $\Lambda$ hyperon