\begin{document}$ {}_{\Lambda}^9 $\end{document}Be system in the framework of the \begin{document}$ \alpha+\alpha+\Lambda $\end{document} microscopic cluster model. The particle emission from excited states of \begin{document}$ \alpha+\alpha+\Lambda $\end{document}are investigated, and the corresponding resonant energies are obtained via EPD-ACCC. Furthermore, the complex scaling method (CSM) is applied for comparison. A good agreement between these two theoretical approaches is obtained. This study demonstrates EPD-ACCC to be a reliable method for estimating multi-cluster resonances in light hypernuclei."> Analytic continuation in the coupling constant for resonances in <inline-formula><tex-math id="M1">\begin{document}${{}^{{\boldsymbol{9}}}_{{\boldsymbol{\Lambda}}}}$\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/86fd7c28-1164-40fd-a4b3-0e3a6c9af738/CPC-2024-0336_M1.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/86fd7c28-1164-40fd-a4b3-0e3a6c9af738/CPC-2024-0336_M1.png"/></alternatives></inline-formula>Be -
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