Theoretical study of antihydrogen formation reactions in the three body   \({{e}^{ + }}{{e}^{ - }}\bar {p}\)   system via Faddeev–Merkuriev equations in total orbital momentum representation

V. A. Gradusov; Градусов В. А.; V. A. Roudnev; Руднев В. А.; E. A. Yarevsky; Яревский Е. А.; S. L. Yakovlev; Яковлев С. Л.

doi:10.31857/S0367676523702137

Theoretical study of antihydrogen formation reactions in the three body \({{e}^{ + }}{{e}^{ - }}\bar {p}\) system via Faddeev–Merkuriev equations in total orbital momentum representation

Authors: Gradusov V.A.¹, Roudnev V.A.¹, Yarevsky E.A.¹, Yakovlev S.L.¹
Affiliations:
1. St. Petersburg State University, Department of Computational Physics
Issue: Vol 87, No 8 (2023)
Pages: 1191-1197
Section: Articles
URL: https://journal-vniispk.ru/0367-6765/article/view/135471
DOI: https://doi.org/10.31857/S0367676523702137
EDN: https://elibrary.ru/ZDIOXK
ID: 135471

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Abstract
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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.

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