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Application of eikonal approximation to charge transfer in energetic ion-atom collisions

Thesis/Dissertation ·
OSTI ID:5437817
The eikonal approach is applied to the evaluation of the cross section for electon capture from an arbitrary nim shell of a hydrogenic target atom into an arbitrary Nlm shell of a fast hydrogenic projectile. Both the impact and wave pictures are employed and their equivalence is discussed. The results are obtained in exact analytical closed form. The approach is also extended here to allow for multi-electron targets, where, as a first approximation, each atomic orbital is specified by three hydrogenic quantum numbers, an effective nuclear charge Z/sub t/, and an energy eigenvalue in the impact picture, or ionization potential in the wave picture. Because of incomplete information on the many-body target, the Z/sub t/ appearing in the eikonal phase factor is left undetermined; nonetheless, analytic expressions are derived for the theoretical cross sections, and numerical values calculated for simple choices of Z/sub t/. Present calculations are compared with the OBK results and the existing experimental data for the capture from H and from the multielectron targets C, Ne, Ar, N/sub 2/, O/sub 2/, and He. For the capture reaction H/sup +/ + H(1s) ..-->.. H(2s) + H/sup +/, agreement with recent experimental measurement is excellent.
Research Organization:
Arkansas Univ., Fayetteville (USA)
OSTI ID:
5437817
Country of Publication:
United States
Language:
English