Ab initio calculations of scattering cross sections of the three-body system ($\bar{p},e^+,e^-$) between the $e^-+\bar{H}$($n=2$) and $e^-+\bar{H}$($n=3$) thresholds - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review A Année : 2018

Ab initio calculations of scattering cross sections of the three-body system ($\bar{p},e^+,e^-$) between the $e^-+\bar{H}$($n=2$) and $e^-+\bar{H}$($n=3$) thresholds

Résumé

The ab initio method based on the Faddeev-Merkuriev equations is used to calculate cross sections involving the ($\bar{p},e^+e^-$) three-body system, with an emphasis on antihydrogen formation ($\bar{H}$) via antiproton ($\bar{p}$) scattering on positronium. This system is studied in the energy range between the $e^+\bar{H}(n=2)$ and the $e^-+\bar{H}$(n=3) thresholds, where precisely calculated cross sections can be useful for future experiments (GBAR, AEGIS, etc.) aiming to produce antihydrogen atoms. A special treatment is developed to take into account the long-range charge-dipole interaction effect on the wave function. Emphasis is placed on the impact of Feshbach resonances and Gailitis-Damburg oscillations appearing in the vicinity of the $\bar{p}+Ps(n=2)$ threshold.
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Dates et versions

hal-01714238 , version 1 (21-02-2018)

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Mateo Valdes, Marianne Dufour, Rimantas Lazauskas, Paul-Antoine Hervieux. Ab initio calculations of scattering cross sections of the three-body system ($\bar{p},e^+,e^-$) between the $e^-+\bar{H}$($n=2$) and $e^-+\bar{H}$($n=3$) thresholds. Physical Review A, 2018, 97 (1), pp.012709. ⟨10.1103/PhysRevA.97.012709⟩. ⟨hal-01714238⟩
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