Coulomb three-body systems and charge transfer collisions in a configuration-space approach

Abstract

Some low-energy three-body muon- and electron-transfer processes are considered within the Faddeev-Hahn formulation using two-, six-, and ten-state close-coupling approximation. We test our approach in bound-state problems for systems H$_2^+$ and ($μ^-$dd)$^+$ within six- and ten-state schemes, where $d$ is a deuteron and $μ$ a muon. We present results in the six-state model for muonium formation from hydrogen. We also present results for muon-transfer rates from muonic hydrogen isotopes to bare nuclei S$^{16}$ and Ar$^{18}$ in reasonable agreement with experiment. For these heavier targets a polarization potential is included and Coulomb potentials are treated exactly without approximation or cut off.