\begin{document}$\langle{\sigma(E_{{\gamma {\rm{max}}}})}\rangle$\end{document} and the cross-sections per equivalent photon \begin{document}$\langle{\sigma(E_{{\gamma {\rm{max}}}})_{Q}}\rangle$\end{document} were first measured for the photonuclear multichannel reaction \begin{document}${^{27}{\rm{Al}}}(\gamma,\textit{x})^{22}{\rm{Na}}$\end{document} at end-point bremsstrahlung gamma energies ranging from 35 MeV to 95 MeV. The experiments were performed with the beam from the NSC KIPT electron linear accelerator LUE-40 using the γ-activation technique. The bremsstrahlung quantum flux was calculated with the GEANT4.9.2 program and was also monitored via the \begin{document}$^{100}{\rm{Mo}}(\gamma,{n})^{99}{\rm{Mo}}$\end{document} reaction. The flux-averaged cross-sections were calculated using the partial cross-section \begin{document}$\sigma(E)$\end{document} values computed with the TALYS1.95 code for different level density models. Consideration is given to special features of calculating the cross-sections \begin{document}$\langle{\sigma(E_{{\gamma {\rm{max}}}})}\rangle$\end{document} and \begin{document}$\langle{\sigma(E_{{\gamma {\rm{max}}}})_{Q}}\rangle$\end{document} for the case of the final nucleus \begin{document}$^{22}{\rm{Na}}$\end{document} via several partial channels \begin{document}$\textit{x}$\end{document}: \begin{document}${n}\alpha + {dt} + {npt} + 2{n}{^{3}\text{He}} + {n2d} + {2npd} + {2p3n}$\end{document}."> Cross-sections for the <sup>27</sup>Al(<i>γ</i>, <i>x</i>)<sup>22</sup>Na multichannel reaction with the 28.3 MeV difference of reaction thresholds -
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