  We develop a wavepacket approach to the diffraction of charged particles by a
thin material target and we use the de Broglie-Bohm quantum trajectories to
study various phenomena in this context. We find the form of the separator,
i.e.the limit between the domains of prevalence of the ingoing and outgoing
quantum flow. The structure of the quantum-mechanical currents in the
neighborhood of the separator implies the formation of an array of
\emph{quantum vortices} (nodal point - X point complexes). We show how the
deformation of the separatior near Bragg angles explains the emergence of a
diffraction pattern by the de Broglie - Bohm trajectories. We calculate the
arrival time distributions for particles scattered at different angles. The
predictions of the de Broglie - Bohm theory for $\Delta T$ turn to be different
from estimates of the same quantity using other theories on time observables
like the sum-over-histories or the Kijowski approach. We propose an
experimental setup aiming to test such predictions. Finally, we explore the
semiclassical limit of short wavelength and short quantum coherence lengths,
and demonstrate how, in this case, results with the de Broglie - Bohm
trajectories are similar to the classical results of Rutherford scattering.
