  The problem of elastic scattering of electron Airy beams on potential fields
is considered for a hydrogen atom in the ground state and for Yukawa potential.
It is demonstrated that the angular dependence of the scattering probability
density is in general azimuthally asymmetric. When the position of the atom
happens to coincide with one the minima of the probability density of the Airy
beam the asymmetric pattern is represented by four separated peaks. We show
that this behaviour is very sensitive to the precision with which the relative
position of the atom and the minima is defined and study how uncertainty in the
position measured in terms of the transverse size of the wave-packet affects
observation of azimuthal asymmetry. Finally, we consider a spatially localized
target and discuss the difficulties of observing the azimuthal asymmetry for
targets with sizes that exceed the critical value determined by the beam
parameters and the position of the target center.
