deletions | additions       diff --git a/At_low_velocity_our_results__.tex b/At_low_velocity_our_results__.tex  index e90fac1..cc32da4 100644  --- a/At_low_velocity_our_results__.tex  +++ b/At_low_velocity_our_results__.tex 
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Therefore electrons in the range $E_\text{F} \pm 2\hbar k_\text{F} v$ can participate in the stopping process.   Taking into account that DFT band structure predicts that the $\mathrm{d}$-band is $\Delta = 1.5~\mathrm{eV}$ below the Fermi energy,   that electron (band) effective mass are close to $1$ for and $k_\text{F} = 0.72$ for $\mathrm{s}$-electrons.   We Based in this DFT ground state plus conservation laws we  obtain an estimate of $v_\text{kink} = \Delta/\hbar/k_\text{F} = 0.076~\mathrm{a.u.}$. Below $0.02~\mathrm{a.u.}$, the lack of experimental points preclude a direct comparison, but we find a large deviation from linear behavior, one possible explanation is that bound effects break down the linear response (Linhard) approximation that was useful to interpret the different regimes and crossover at $v > 0.02~\mathrm{a.u.}$ 0.02~\mathrm{a.u.}$.  In any case, the combination of experimental and theoretical result show that the limit $v\to 0$ is intricate for metals as it is for insulators \cite{Artacho_2007}\cite{Lin_2008}\cite{Lim_2015}.  %In the same figure we compare our results with density $6.84~\mathrm{g/cm^3}$ and $8.96~\mathrm{g/cm^3}$.%  %