To determine which process is NOT endothermic, we need to understand what each of the given processes represents and their typical thermodynamic nature.
From the analysis, the most likely process that is NOT endothermic is H_{(g)} + e^{-} \rightarrow H_{(g)}^{-}, as it typically releases energy when hydrogen forms a hydride.
Thus, the correct answer is: H_{(g)} + e^{-} \rightarrow H_{(g)}^{-}.