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Studying Radiative Baryon Decays with the SU(3) Flavor Symmetry

The weak and electromagnetic radiative baryon decays of octet $T_{8}$, decuplet $T_{10}$, single charmed anti-triplet $T_{c3}$ and sextet $T_{c6}$, single heavy bottomed anti-triplet $T_{b3}$ and sextet $T_{b6}$ are investigated by using SU(3) flavor symmetry irreducible representation approach. We analyze the contributions from a single quark transition $q_1\to q_2γ$ and $W$ exchange transitions, and find that the amplitudes could be easily related by SU(3) flavor symmetry in the $T_{b3,b6}$ weak radiative decays, $T_{c3,c6}$ weak radiative decays, $T_{10}\to T_{8}γ$ weak decays, $T_{10}\to T'_{10}γ$ weak decays and $T_{10}\to T_{8}γ$ electromagnetic decays. Nevertheless, the amplitude relations are a little complex in the $T_{8}\to T'_{8}γ$ and $T_{8}\to T_{10}γ$ weak decays due to quark antisymmetry in $T_{8}$ and $W$ exchange contributions. Predictions for branching ratios of $Λ^{0}_b\to nγ$, $Ξ^{-}_b\to Ξ^-γ$, $Ξ^{-}_b\to Σ^-γ$, $Ξ^{0}_b\to Σ^0γ$, $Ξ^{0}_b\to Λ^0γ$, $Ξ^{0}_b\to Ξ^0γ$, $Ξ^{*}\to Ξγ$, $Σ^{*0}\to Σ^{0}γ$, $Δ^0\to nγ$ and $Δ^+\to pγ$ are given. The results in this work can be used to test SU(3) flavor symmetry approach in the radiative baryon decays by the future experiments at BESIII, LHCb and Belle-II.