Bonn 2025 – wissenschaftliches Programm

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A: Fachverband Atomphysik

A 34: Poster – Atomic Collisions and Ultracold Plasmas

A 34.1: Poster

Donnerstag, 13. März 2025, 17:00–19:00, Tent

Muonic anti-hydrogen formation three-body reaction — •Renat Sultanov — The University of Texas Permian Basin, Odessa, Texas, USA

A few-body formalism is applied for computation of two different three-charge-particle systems. The first system is a collision of a slow antiproton, p, with a positronium atom: Ps= (e⁺e⁾ - a bound state of an electron and a positron. The second problem is a collision of p with a muonic muonium atom, i.e. true muonium - a bound state of two muons one positive and one negative: Ps_µ = (µ⁺µ⁻). The total cross section of the following two reactions: p+(e⁺e⁻) → H + e⁻ and p+(µ⁺µ⁻) → H_µ +µ⁻, where H=(pe⁺) is anti-hydrogen and H_µ = (pµ⁺) is a muonic anti-hydrogen atom, i.e. a bound state of p and µ⁺, are computed in the framework of a set of coupled two-component Faddeev-Hahn-type (FH-type) equations. Results for better known low energy µ⁻ transfer reactions from one hydrogen isotope to another hydrogen isotope in the cycle of muon catalyzed fusion (µCF) are also computed and will be presented.

Keywords: Faddeev-type few-body equations; Coulomb three-body systems; muon; antiproton; muonic antihydrogen formation