Multiple scattering of slow ions in a partially degenerate electron fluid

We extend former investigation to a partially degenerate electron fluid at any temperature of multiple slow ion scattering at $T=0$. We implement an analytic and mean-field interpolation of the target electron dielectric function between $T=0$ (Lindhard) and $T\to \infty$ (Fried-Conte). A specific attention is given to multiple scattering of proton projectiles in the keV energy range, stopped in a hot-electron plasma at solid density.

Figure 1

(Color online) $\eta \left(=\frac{\mu }{k_{B}T}\right)$ in terms of $\theta =\frac{T}{T_F}$.

Figure 2

$q_s^2$ (a.u.) in terms of $\theta =\frac{T}{T_F}$.

Figure 3

(Color online) Probability distribution $G_{\forall T\left(q\perp \right)}$ at any temperature $T$ contrasted to its FEG counterpart $\left(T=0\right)$. $q_{\perp }$ in $a_0^{-1}$ and $r_s=1.5$.

Figure 4

(Color online) Same caption as Fig. 3 for $\theta \le 1$.

Figure 5

(Color online) Same caption as Fig. 3 with enlarged $q_{\text{perp}}$ range.

Figure 6

(Color online) ${\alpha }_{1/2}$ (in degrees) in terms of $T/T_F$ in an electron target with density $r_s=1.5$ and thickness $X=800\text{a}\text{.u}\text{.}$ $\left(0.0424\mu \text{m}\right)$. $k\approx 1$.