Application of Eikonal Approximation to Charge Transfer in Energetic IonAtom Collisions.
Abstract
The eikonal approach is applied to the evaluation of the cross section for electron capture from an arbitrary nlm shell of a hydrogenic target atom into an arbitrary n'l'm' 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 multielectron targets, where, as a first approximation, each atomic orbital is specified by three hydrogenic quantum numbers, an effective nuclear charge Z(,t), and an energy eigenvalue in the impact picture, or ionization potential in the wave picture. Because of incomplete information on the manybody target, the Z(,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(,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(,2), O(,2), and He. For the capture reaction H('+) + H(1s) (>) H(2s) + H('+), agreement with recent experimental measurement is excellent.
 Publication:

IEEE Transactions on Microwave Theory Techniques
 Pub Date:
 December 1981
 DOI:
 10.1109/TMTT.1981.1130566
 Bibcode:
 1981ITMTT..29.1364K
 Keywords:

 Coupling Circuits;
 Microstrip Transmission Lines;
 Microwave Coupling;
 Millimeter Waves;
 Propagation Modes;
 Dielectrics;
 Electrical Impedance;
 Green'S Functions;
 Network Analysis;
 Performance Prediction;
 Phase Velocity;
 Sandwich Structures;
 Transmission Efficiency;
 Electronics and Electrical Engineering;
 Physics: Atomic