deletions | additions       diff --git a/Fig_ref_fig_force_on_neighbor_shows__.tex b/Fig_ref_fig_force_on_neighbor_shows__.tex  deleted file mode 100644  index e7bb294..0000000  --- a/Fig_ref_fig_force_on_neighbor_shows__.tex  +++ /dev/null 
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Fig. \ref{fig:force_on_neighbor} shows the radial force exerted on a neighboring $\mathrm{Cu}$ atom closest to $\mathrm{H^+}$ trajectory as a function of parallel distance to the projectile at different projectile velocities.% along the [100] channeling trajectory.   The forces on the nuclei are evaluated using the time-dependent electron density, $n(\mathbf{r}, t)$.  The force is obtained by the application of the Hellmann-Feynman theorem \cite{Hellmann_2015,1941,Feynman_1939}.   The adiabatic force is recovered for $v \to 0$ with no oscillations as expected.   The maximum value for the force is obtained at the closest distance between $\mathrm{H^+}$ and neighbor $\mathrm{Cu}$ atom.  As the proton moves away from the $\mathrm{Cu}$ atom, the force decreases significantly and eventually reduces to zero.   As the velocity increases the position of the maximum value of the force shifts due to the complex shape-structure of the curves and results oscillations. These oscillations in the force persist for velocities above $1.0 ~\mathrm{a.u.}$, an interpretation in terms of plasmon excitations is given in \cite{Correa_2012}.  %These oscillations becomes persistent as the velocity of the proton increases.%  diff --git a/layout.md b/layout.md  index 4bbe42c..32a96a0 100644  --- a/layout.md  +++ b/layout.md 
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At_low_velocity_our_results__.tex  figures/plot-stopping7/plot-stopping.png  figures/radial_force/plot_force.png  Fig_ref_fig_force_on_neighbor_shows__.tex  section_Conclusion_Finally_we_point__.tex  section_Acknowledgements_We_would_like__.tex