Theoretical study of antihydrogen formation reactions in the three body <span class="inline-formula"><span class="math">\({{e}^{ + }}{{e}^{ - }}\bar {p}\)</span></span> system via Faddeev–Merkuriev equations in total orbital momentum representation

Abstract

The results of calculations of low-energy reaction in the three body \({{e}^{ + }}{{e}^{ - }}\bar {p}\) system with the emphasis on the process of the antihydrogen formation from the ground and excited states of the positronium are presented. This reaction is important for some of the current antimatter experiments. The multi-channel scattering calculations are based on a new highly efficient method of solving the Faddeev–Merkuriev equations in total orbital momentum representation. We discuss the effects that originate from the long-range dipole interaction between the excited atom and the spectator particle.