The recently developed channel-distorted 2-centre (D2C) approximation
remains to be evaluated in exact form but two different approximation
schemes that lead to computable forms have been identified. In one of
these schemes the ionization amplitude is expressed as a product of th
ree factors with distinct characteristics. The first term is the off-e
nergy-shell amplitude for electron scattering in the field of the appr
oaching ion and represents a pure projectile property. The second term
is the inelastic form factor and represents a pure target property. T
he third term represents a residue of a renormalization factor due to
long-range and off-shell aspects of the considered interactions and is
manifestly of three-body character. The second scheme is more accurat
e than the first but less transparent from a physical point of view an
d restricted by additional conditions on the form of the channel poten
tial. It is shown that final-state interaction and channel distortion
are very essential elements of the theory and various characteristic f
eatures in the ionization spectrum are discussed. Finally, we identify
the popular CDW-EIS theory as a special case of the D2C theory and so
lve an outstanding question about the applicability of the CDW formula
tion.