We describe recent experimental triple-differential cross sections of ioniz
ation by the impact of both protons and positrons by means of a single, kin
ematically exact theory. This model incorporates all the interactions in th
e final state on an equal footing and keeps an exact account of the three-b
ody kinematics. We show that these provisions make it possible to evaluate
any multiple-differential cross section for any given mass configuration, a
nd analyse how it changes with the relative masses of the three particles i
n the final state. We analyse the differences in the electron cusp formatio
n by both heavy and light projectile impact at the double-differential cros
s section level.