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Distorted Wave Born Approximation For Inelastic Collisions: Application To Electron Capture By Positrons From Hydrogen Atoms, Robin Shakeshaft, J. M. Wadehra
Distorted Wave Born Approximation For Inelastic Collisions: Application To Electron Capture By Positrons From Hydrogen Atoms, Robin Shakeshaft, J. M. Wadehra
Physics and Astronomy Faculty Research Publications
We have re-examined the distorted-wave Born approximation for inelastic collisions. We find that the distortion in the relative motion of the collision partners cannot be neglected even for high-energy ion-atom collisions. Furthermore, if the distortion in the relative motion is not treated exactly, post-prior discrepancies will occur. We have applied the distorted-wave Born approximation, with distortion included through first order, to ground-state-to-ground-state electron capture by positrons from hydrogen atoms. The results are presented in this paper. We have also examined the nonrelativistic asymptotic behavior of the cross section for electron capture from hydrogen by positrons incident with a speed v∼∞. …
Large Momentum Transfer Limit Of Some Matrix Elements, J. M. Wadehra, Larry Spruch
Large Momentum Transfer Limit Of Some Matrix Elements, J. M. Wadehra, Larry Spruch
Physics and Astronomy Faculty Research Publications
The matrix element εfi(K), or ε, that appears in the study of elastic and inelastic electron-atom scattering from an initial state i to a final state f in the first Born approximation depends explicitly on the momentum transfer ℏK⃗ . The uncertainty in the value of the calculated cross sections arises not only from the application of the Born approximation but also from the approximate nature of the wave functions used. For the 1 S1−2 P1 transition in helium, we present an analytic expression in terms of the 1 S1 and 2 P1 wave functions for the leading coefficient C1 …