deletions | additions       diff --git a/Recently_from_a_phenomenological_point__.tex b/Recently_from_a_phenomenological_point__.tex  index a808365..c900418 100644  --- a/Recently_from_a_phenomenological_point__.tex  +++ b/Recently_from_a_phenomenological_point__.tex 
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%Using a single formula with fewer parameters Haque \emph{et al.} \cite{Haque_2015} have reported proton stopping power with encouraging results.   %For example, at their lowest reported velocity $v = 0.6 ~\mathrm{a.u.}$, their results are within $\sim 15\%$ of our \emph{ab initio} findings for $\mathrm{H}$ in $\mathrm{Cu}$.   %\textsc{Srim} \cite{Ziegler_2010} also provides both a fitted model for electronic stopping as well as a large set of experimental points.   At %At  low velocities experimental data becomes more scarce and the fitted models less reliable. Fitted %Fitted  models tend to extrapolate linearly from the lowest point to zero velocity, possibly leaving out important physics that we try to investigate here. The recent measurements by Cantero \emph{et al.} \cite{Cantero_2009} and by Markin \emph{et al.} \cite{Markin_2009} of slow ($v \leq 0.6~\mathrm{a.u.}$) $\mathrm{H^+}$ in $\mathrm{Cu}$ give a glimpse to the extreme low velocity limit.   Although disagreeing with each other in absolute scale by $\sim 40\%$ (Fig. \ref{fig:stopping_power}), both reveal the stopping due to conduction band electronic excitations at lower velocity, evidenced as a change in slope near $v=0.15$ or $0.10~\mathrm{a.u.}$ respectively.