 | Pictures of the hybrid ($n$,$\gamma$) experimental setup at EAR2 during the 2022 n\_TOF experimental campaign. The sTED cylindrical configuration surrounds the sample with cylindrical geometry. Two large-volume C$_{6}$D$_{6}$ detectors are placed in the upstream position, pointing toward the sample at 135$^{\circ}$. The inorganic LaCl$_{3}$(Ce) scintillator with a 2-cm thick $^{6}$Li polyethylene shield is also placed at 135$^{\circ}$ upstream. |
 | Pictures of the hybrid ($n$,$\gamma$) experimental setup at EAR2 during the 2022 n\_TOF experimental campaign. The sTED cylindrical configuration surrounds the sample with cylindrical geometry. Two large-volume C$_{6}$D$_{6}$ detectors are placed in the upstream position, pointing toward the sample at 135$^{\circ}$. The inorganic LaCl$_{3}$(Ce) scintillator with a 2-cm thick $^{6}$Li polyethylene shield is also placed at 135$^{\circ}$ upstream. |
 | Neutron energy spectra registered by all detection systems during the experiment in the neutron energy range corresponding with the two first neutron resonances of $^{93}$Nb. Panels a), b), c) and d) corresponds to sTED, LaCl$_{3}$(Ce) and both C$_{6}$D$_{6}$ $\gamma$-ray detection systems, respectively. |
 | Neutron energy spectra registered by all detection systems during the experiment in the neutron energy range corresponding with the two first neutron resonances of $^{93}$Nb. Panels a), b), c) and d) corresponds to sTED, LaCl$_{3}$(Ce) and both C$_{6}$D$_{6}$ $\gamma$-ray detection systems, respectively. |
 | Neutron energy spectra registered by all detection systems during the experiment in the neutron energy range corresponding with the two first neutron resonances of $^{93}$Nb. Panels a), b), c) and d) corresponds to sTED, LaCl$_{3}$(Ce) and both C$_{6}$D$_{6}$ $\gamma$-ray detection systems, respectively. |
 | Neutron energy spectra registered by all detection systems during the experiment in the neutron energy range corresponding with the two first neutron resonances of $^{93}$Nb. Panels a), b), c) and d) corresponds to sTED, LaCl$_{3}$(Ce) and both C$_{6}$D$_{6}$ $\gamma$-ray detection systems, respectively. |
 | The significance of a signal observation, expressed as $p$-value, as a function of the neutron energy for the different experimental devices. |
 | Detailed geometry of the experimental setup introduced in Sec.~\ref{Sec:PoC} implemented in \textsc{Geant4} simulations. The positions and distances of the $\gamma$-ray detection device models correspond to the experiment. |
 | Calculated MC detection efficiency as a function of incident $\gamma$-ray energy for sTED (red), STAR (Orange), individual C$_{6}$D$_{6}$ (blue) and LaCl$_{3}$(Ce) detectors (green). |
 | Graphical representation of the STAR experimental setup as implemented in \textsc{Geant4}. sTED detectors in Fig.~\ref{fig:MC_setup} have been replaced by STAR detectors, while the rest of elements, including the structural materials are placed in the same position as for the setup introduced in Sec.~\ref{Sec:PoC}. |
 | Calculated MC detection efficiency for $^{197}$Au($n$,$\gamma$) decay for sTED (red), STAR (Orange), individual large-volume C$_{6}$D$_{6}$ (blue) and LaCl$_{3}$(Ce) detectors (green). |
 | WCSS values as a function of number of clusters, $k$. The change in slope determines the optimum number of clusters for the $k$-mean++ algorithm. |
 | PSD parameter $Q$ derived from charge comparison method as a function of the the deposited electron equivalent energy for the small stilbene-d12 module for pulses from the $^{252}$Cf. Blue and red dot points indicate neutron and $\gamma$ signals as derived from $k$-means++ algorithm, respectively. |
 | Average neutron and $\gamma$-ray events waveforms calculated based on the identification obtained from the $k$-means++ approach. |
 | Top view of the experimental setup used during the test performed at n\_TOF EAR2. Two large-volume C$_{6}$D$_{6}$ detectors, three sTED modules and the stilbene-d12 detector were placed at 90$^{\circ}$ and different distances (see text) to the center of the neutron beam line. |
 | Average pulse shape obtained for all the detectors present during the experimental campaign at n\_TOF EAR2 described in Sec.~\ref{sec:Exp_stilbene}. |
 | Response of the different detectors to the prompt $\gamma$-flash with an empty sample. The inset shows a zoom in the high-neutron energy region. |
 | Experimental yield of $^{197}$Au($n,\gamma$) measured at n\_TOF EAR2 with different detection systems normalized to the saturated resonance. Results are shown for a large-volume C$_{6}$D$_{6}$ detector, the sTED detectors present and the stilbene-d12 prototype described in Sec.~\ref{sec:Exp_stilbene}. |