Theoretical study of reactions in the three body $e^-e^+\bar{p}$ system and antihydrogen formation cross sections

TL;DR

This paper presents a theoretical approach to calculating antihydrogen formation cross sections in three-body systems, achieving high accuracy and energy resolution with efficient computational methods.

Contribution

It introduces a new efficient method for solving Faddeev-Merkuriev equations applied to antihydrogen formation, providing detailed cross section calculations.

Findings

Good agreement with existing data on cross sections

High energy resolution achieved with moderate resources

Applicable to multiple reaction channels

Abstract

We apply a new highly efficient method of solving Faddeev-Merkuriev equations to multi-channel scattering calculations of the antihydrogen formation cross section for antiproton scattering off the ground and excited states of the positronium. Our results demonstrate good agreement with the known data on total and partial cross sections for all the reaction channels. Using moderate computational resources we have achieved a supreme energy resolution.