  We study the effect of the limiting field strength of Born-Infeld
electromagnetism on the dynamics of charged particle scattering. We formulate
the Born-Infeld limiting field in an invariant manner, showing that it is the
electric field-dominated eigenvalue `$a$' of the field tensor $F^{\mu\nu}$
which is limited rather than the individual field vectors. Heavy ion collisions
in particular provide uniquely large values of the field invariants that appear
in the BI action, amplifying nonlinear effects. Thus ``$a$'' is the dominant
input into the force between heavy ions that we use to compute the scattering
angle as a function of impact parameter. We evaluate the BI effects, showing
relevance at small impact parameters and exhibiting their dependence on the
value of the limiting field strength.
