\begin{document}$ \beta^{-} $\end{document}-decay and electron capture rates. Our investigation include both unique first forbidden (U1F) and allowed transitions for 106 neutron-rich trans-iron nuclei ([27, 77] ≤ [Z, A] ≤ [82, 208]). The calculations were performed using the deformed proton-neutron quasiparticle random-phase approximation (pn-QRPA) model with a simple plus quadrupole separable and schematic interaction. Waiting-point and several key r-process nuclei lie within the considered mass region of the nuclear chart. We computed electron capture and \begin{document}$ \beta^{-} $\end{document}-decay rates using two different prescriptions for strength functions. One was based on invoking the BA hypothesis and the other was the state-by-state calculation of strength functions, under stellar density and temperature conditions ([10, 1] ≤ [\begin{document}$\rho{{\rm Y}}_{e}$\end{document}(\begin{document}$\rm g/cm^{3}$\end{document}), T(\begin{document}$ GK $\end{document})] ≤ [1011, 30]). Our results show that the BA hypothesis invoked U1F \begin{document}$ \beta^{-} $\end{document}rates are overestimated by 4–5 orders of magnitude as compared to microscopic rates. For capture rates, more than two orders of magnitude differences were noted when applying the BA hypothesis. It was concluded that the BA hypothesis is not a reliable approximation, especially for \begin{document}$ \beta^{-} $\end{document}-decay forbidden transitions."> Impact of the Brink-Axel hypothesis on unique first-forbidden <i>β</i>-transitions for <i>r</i>-process nuclei -
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