effective as soon as $S_n$ drops after crossing the closed neutron shell at $N=82$. As demonstrated in Fig. \[fig07\], the GLO-up2 parameterization gives a similar large increase of the rates with respect to the traditional calculation based on the GLO model. The predictions are even larger than when considering the GLO-up1 model. Similar conclusions can be drawn for the Fe and Mo isotopes.

In general, we see that the influence of the upbend structure on the $(n,\gamma)$ cross sections and thus the reaction rates becomes more and more important as the number of neutrons increases. In particular, as soon as a major neutron shell is crossed, the neutron separation energy $S_n$ drops and the RSF in the vicinity of the upbend structure starts to play a major role in the radiative decay. It can be seen that the combination of the upbend structure and applying a constant temperature may lead to an increase of the reaction rates by up to a factor of 300. This increase is observed in all the isotopic chains studied here when applying the GLO-up2 model.

These calculations show that a proper understanding of the $E_\gamma \rightarrow 0$ limit of the RSF can be of crucial 