  A previous paper [J. Phys. B: At. Mol. Opt. Phys. 50, 215302 (2017)] showed
that partial wave analysis becomes applicable to nonrelativistic Coulomb
scattering if wavepackets are used. The scattering geometry considered was
special: that of a head-on collision between the wavepacket and the centre of
the potential. Our results predicted, in this case, a shadow zone of low
probability for small angles around the forward direction for the description
of alpha scattering from a gold foil. In this paper we generalize the results
to the case of a nonzero impact parameter, a displacement of the wavepacket
centre perpendicular to the average momentum direction. We predict a large flux
in the forward direction from events with large impact parameters. We find a
significant probability of scattering into the deviation region for impact
parameters of order the spatial width of the wavepacket. Averaging over impact
parameters produces predictions in excellent agreement with the Rutherford
formula down to lower angles than for the zero impact parameter prediction. We
consider issues that would arise in a real experiment and discuss the
possibility of measuring a deviation from the Rutherford formula.
