Eo. Alt et al., CHARGE-EXCHANGE REACTIONS IN A 3-BODY EIKONAL APPROACH, Journal of physics. B, Atomic molecular and optical physics, 27(19), 1994, pp. 4653-4674
The three-body eikonal approach to ion-atom collisions based on the Al
t-Grassberger-Sandhas equations is developed. The amplitudes for scatt
ering and charge exchange, written in the impact parameter representat
ion and using the eikonal approximation, are represented as a sum of t
wo terms. One of them describes the scattering via the Coulomb potenti
al acting between the colliding heavy particles. The second one could
be factored into a product of two terms. One is an explicitly known fa
ctor which contains all the information about the interaction between
the heavy particles. The remaining part does not contain any reference
to this interaction any longer. For these residual amplitudes effecti
ve-two body equations are written down. Explicit expressions for the e
ffective potentials occurring therein, for both the scattering and the
transfer channels, are derived in the lowest order approximation. Thi
s approach is then used to calculate total and partial cross sections
for the electron capture processes in collisions of the ions H+, He2and Li3+ with atomic hydrogen. The latter is taken to be in its ground
state, except for the case of incident H+ when the target hydrogen at
om is considered also in some low-lying excited states.