Abstract
The density-effect correction $\ensuremath{\delta}$ to the Bethe stopping-power formula for fast charged particles is evaluated for metallic aluminum from the dielectric-response function $\ensuremath{\epsilon}(E)$. The latter has been accurately determined over the entire range of excitation energy $E$ by Shiles, Sasaki, Inokuti, and Smith through comprehensive analysis of all pertinent experimental data. The resulting values of $\ensuremath{\delta}$ (which is a function of the particle speed $\ensuremath{\beta}c$) should be the most reliable to date. The present result agrees well with that of Sternheimer, who used a simpler and less rigorous procedure, and thus corroborates the general view that $\ensuremath{\delta}$ is insensitive to fine details of the behavior of $\ensuremath{\epsilon}(E)$. We also present general remarks on the evaluation of $\ensuremath{\delta}$ and on the analytic continuation of $\ensuremath{\epsilon}(E)$ as a function of the complex energy $E$.
Published Version
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