Weak Radiative Decays of Anti-triplet Bottomed Baryons in Light-Front Quark Model

Abstract

We study the weak radiative decays of ${\mathbf{B}}_b\to {\mathbf{B}}_n\gamma$ with ${\mathbf{B}}_{b(n)}$ the anti-triplet-bottom (octet) baryons in the light front quark model. We obtain that $\mathcal{B}({\Lambda }_b\to \Lambda \gamma )=(7.1\pm 0.3)\times 10^{-6}$, which agrees well with the current experimental value of $(7.1\pm 1.7)\times 10^{-6}$. We predict that $\mathcal{B}({\Xi }_b^0\to {\Xi }^0\gamma )=(1.0\pm 0.1)\times 10^{-5}$ and $\mathcal{B}({\Xi }_b^{-}\to {\Xi }^{-}\gamma )=(1.1\pm 0.1)\times 10^{-5}$, which are consistent with the latest upper limits set by the LHCb collaboration. In addition, we find that the $SU(3{)}_F$ flavor symmetry breaking effects for the modes related to the $b\to d\gamma$ transition can be as large as $20\%$.

Comments: 16 pages, 1 figure