Closed-form expressions for state-to-state charge-transfer differential cross sections in a modified Faddeev three-body approach

Abstract

The second-order Faddeev-Watson-Lovelace approximation in a modified form is applied to charge transfer from hydrogenlike target atoms by a fully stripped energetic projectile ion. The state-to-state, $nlm\ensuremath{\rightarrow}{n}^{\ensuremath{'}}{l}^{\ensuremath{'}}{m}^{\ensuremath{'}}$, partial transition amplitudes are calculated analytically. The method is specifically applied to the collision of protons with hydrogen atoms, where differential cross sections of different transitions are calculated for incident energies of 2.8 and $5.0\phantom{\rule{0.3em}{0ex}}\mathrm{MeV}$. It is shown that the Thomas peak is present in all transition cross sections. The partial cross sections are then summed and compared with the available forward-angle experimental data, showing good agreement.