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\section{Computational and Theoretical Details} \section{Method}  %In this work we employed the formalism of TDDFT coupled with Ehrenfest molecular dynamics (EMD) \cite{Gross_1996,Calvayrac_2000,Mason_2007,Alonso_2008,Andrade_2009} to simulate the collision processes between the target electrons and the ion (proton).   %Within the TDDFT-EMD method, the dynamics of the electrons are treated quantum mechanically described by TDDFT and the nuclei are point particles treated classically using EMD.  %We used this method to calculate most microscopic quantities along the process (forces, electronic density, charges, etc), in particular, we report the calculation of $S_\text{e}$ that can be directly compared with experiments.