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

TL;DR

This paper investigates radiative baryon decays across various baryon multiplets using SU(3) flavor symmetry, providing amplitude relations and predicting branching ratios to test the symmetry in future experiments.

Contribution

It applies the SU(3) flavor symmetry irreducible representation approach to analyze and relate decay amplitudes, offering predictions for branching ratios of multiple radiative baryon decays.

Findings

Amplitude relations are straightforward in some decay channels but complex in others due to quark antisymmetry.

Predicted branching ratios for various baryon radiative decays are provided.

Results can be tested in future experiments at BESIII, LHCb, and Belle-II.

Abstract

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 $q_1\to q_2\gamma$ 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}\gamma $ weak decays, $T_{10}\to T'_{10}\gamma $ weak decays and $T_{10}\to T_{8}\gamma $ electromagnetic decays. Nevertheless, the amplitude relations are a little complex in the $T_{8}\to T'_{8}\gamma$ and $T_{8}\to T_{10}\gamma$ weak decays due to quark antisymmetry in $T_{8}$ and $W$ exchange contributions. Predictions for branching ratios of $\Lambda^{0}_b\to n\gamma$, $\Xi^{-}_b\to \Xi^-\gamma$, $\Xi^{-}_b\to \Sigma^-\gamma$, $\Xi^{0}_b\to \Sigma^0\gamma$, $\Xi^{0}_b\to \Lambda^0\gamma$, $\Xi^{0}_b\to \Xi^0\gamma$, $\Xi^{*}\to \Xi\gamma$, $\Sigma^{*0}\to \Sigma^{0}\gamma$, $\Delta^0\to n\gamma$ and $\Delta^+\to p\gamma$ 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.