Potential Splitting Approach for Faddeev-Merkuriev Equations: Application to $$e^--\bar{\text{ H }}$$ ($$e^+-$$H) and $$e^+-$$He$$^+$$ Multichannel Scattering

We solve the three-particle multichannel Coulomb scattering problem with rearrangement channels without partial wave decomposition on the base of Faddeev-Merkuriev equations. Highly efficient numerical approach allowed us to perform the detailed calculations of all possible S-wave cross-sections in systems \(e^+e^-\bar{p}\) and \(e^+e^-\text{ He }^{++}\) for low-energy binary collisions.