Angular Differential Cross-Sections for Electron Transfer in Collisions between Proton and He⁺(1s) Ions

Abstract

Angular differential cross-sections for the formation of H, as a result of electron capture by proton from He+(s) at the centre-of-mass energies from 4 to 24 keV, are calculated using distorted wave Coulomb-Born approximation. The total interaction potentials in the prior-iiiteraqtion channel and in the post-interaction channel are considered. Coulomb boundary conditions are taken care of with the proper choice of the perturbation potentials in both the prior and the post channels. A prior-post discrepancy is noted. Existing theoretical results are presented along with the present results.

Angular Differential Cross-Section for Electron Transfer in ION-ION Collision

“…There has been as yet no theoretical work on this process. We use Coulomb-Born approximation with the total interaction potentials as in the paper [23] for reaction (1). The post interaction includes two (e-α) attraction terms and one (α-α) repulsive term.…”

“…[23] to calculate the ADCS for the reaction (1). The results differed widely from those by Winter [22], but the post-prior discrepancy came out to be very small.…”

“…Since me/MA « 1, we ignore the terms containing me /MA as a factor in the interaction potentials 14 and Vf in (8a) and (10a). Using Taylor's expansions in (8a) and (10a) as in [23], and writing O p in terms of momentum operator p, we get for 14 and l/ Eigenfunctions of the channel Hamiltonians H0i and H0f are respectively, where φHe+(1s)(rΑ1), φ2e+(1s)(rΒ2), and φ(rΒ1, rΒ2 ) are the hydrogen type wave functions of the projectile and the target He+(1s) ions and He(1s 2 ) atom, respectively. Ψrel.…”

“…Good agreement between theory and experiment was achieved. But the theoretical works on angular distribution of the scattered beams are scarce [22,23] while first ever attempt on the experimental investigation on reaction (2) is by Giessen group [24] in Germany. The differential cross-section gives more sensitive probe by which one can have deep insight into the collision processes.…”