Plasma screening effects on elastic electron-ion collision processes in a L
orentzian (kappa)-distribution plasma are investigated using the eikonal me
thod. The electron-ion interaction potential is obtained by introducing a p
lasma dielectric function epsilon(kappa). The semiclassical straight-line t
rajectory method is applied to the path of a projectile electron in order t
o investigate the variation of the eikonal phase as a function of impact pa
rameter and spectral index kappa. In the first-order eikonal approximation,
the dynamic plasma screening effect on the eikonal phase is found to be a
static screening effect, and depends only on the Debye length and spectral
index. The position of the maximum of the differential elastic eikonal cros
s-section recedes from the ion core with increasing spectral index. The pla
sma screening effect on the eikonal cross-section increases with decreasing
spectral index.