Edwin E. Quashie edited Recently_from_a_phenomenological_point__.tex  over 8 years ago

Commit id: 27e1185e97618fc6f180fdb9c4830e0619021998

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Recently, %Recently,  from a phenomenological point of view, Uddin \emph{et al.} \cite{Alfaz_Uddin_2013} have calculated $S_\text{e}$ for protons, $\alpha$ and $\mathrm{He}$ for various media with atomic number $Z=2$ to $100$ using realistic electron density with four fitted parameters and obtained $\sim 12\%$ agreement with the \textsc{Srim} data \cite{Ziegler_2010}. Using %Using  a single formula with fewer parameters Haque \emph{et al.} \cite{Haque_2015} have reported proton stopping power with encouraging results. For %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} %\textsc{Srim}  \cite{Ziegler_2010} also provides both a fitted model for electronic stopping as well as a large set of experimental points. At low velocities experimental data becomes more scarce and the fitted models less reliable.   Fitted models tend to extrapolate linearly from the lowest point to zero velocity, possibly leaving out important physics that we try to investigate here.