Calculation of differential and total cross sections for Positrion-Hydrogen impact with second-order Born-Faddeev approximation in excitation channel

Abstract

In this paper, we have implemented a three-body formalism, where the interaction potential is replaced by the transition matrix, in the excitation channel for the collision of positron and atomic hydrogen. Differential and total cross sections are calculated while the first and second order terms of the FWL (Faddeev-Watson-Lovelace) series in the transition from ground state to the first excited state of atomic hydrogen are included. The impact energy range of to and the scattering angle of the scattered positron in the range of (1-180) degrees are selected. At last, the results are compared with the available theoretical data in the literature

Keywords

• three-body impact
• differential cross section
• positron
• excitation channel
• Faddeev