\begin{document}$\Lambda_b \rightarrow \Lambda l^+ l^-~(l=e,\mu, \tau)$\end{document} in the Bethe-Salpeter equation approach. We find that the branching ratio is \begin{document}${\rm Br}(\Lambda_b \rightarrow \Lambda \mu^+ \mu^-)\times 10^{6} = 1.051 \sim 1.098$\end{document} in our model. This result agrees with the experimental data well. In the same parametric region, we find that the branching ratio is \begin{document}${\rm Br}(\Lambda_b \rightarrow \Lambda e^+ e^-(\tau^+ \tau^-) )\times 10^{6} = 0.252 \sim 0.392 ~(0.286 \sim 0.489)$\end{document}."> Rare <inline-formula><tex-math id="M1">\begin{document}${{\Lambda_b \rightarrow \Lambda l^+ l^- }}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/cpc/article/app/id/29a888a1-2ff3-4239-81ec-f335eec04520/CPC-2020-0159_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/cpc/article/app/id/29a888a1-2ff3-4239-81ec-f335eec04520/CPC-2020-0159_M1.png"/></alternatives></inline-formula> decay in the Bethe-Salpeter equation approach -
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