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Calcul de sections efficaces du système à trois corps (e − , e + , p̄) avec les équations de Faddeev-Merkuriev

Abstract : This thesis is dedicated to cross section calculations involving the three body system (e − , e + , p̄) at representative energies for the GBAR experiment. Two different theoretical formalisms have been used. The first one, the close coupling method, allows to study the system in a more simple and schematic theoretical frame. The second, based on the mathematically rigorous formalism of the Faddeev-Merkuriev equations, is used to compute the explicit cross sections. One of the major difficulties comes from the accidental degeneracy of the antihydrogen and positronium atoms first excited states. The treatment of this degeneracy has been realised, in a first time, with the close-coupling formalism before being adapted to the Faddeev-Merquriev equations code. In this document, we discuss the cross sections in the GBAR experiment frame and we construe the highlighted resonant phenomena, the Feshbach resonances and the Gailitis-Damburg oscillations.
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Mateo Valdes. Calcul de sections efficaces du système à trois corps (e − , e + , p̄) avec les équations de Faddeev-Merkuriev. Physique [physics]. Université de Strasbourg, 2017. Français. ⟨NNT : 2017STRAE031⟩. ⟨tel-01729000⟩

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