Formation of Anti hydrogen ion in Positronium-Antihydrogen collision with screened Coulomb Potential

TL;DR

This theoretical study investigates how positronium interacts with antihydrogen in a plasma to form antihydrogen ions, revealing the influence of plasma screening and positronium states on reaction outcomes.

Contribution

It introduces a Coulomb Distorted Eikonal Approximation to analyze antihydrogen ion formation in plasma conditions, highlighting the significance of specific positronium states.

Findings

Ps(3S) state enhances antihydrogen ion production near threshold

Debye screening increases total cross section for 1S and 2S states at low energy

Screening decreases cross section for 2P and 3S states at low energy

Abstract

The present theoretical work addresses the study of the formation of a positive Antihydrogen ion in a single charge exchange reaction where a positronium ( ground or excited state) interacts with a ground state anti-hydrogen atom, being embedded in a dense Debye plasma. The calculations are carried out in the frame work of a Coulomb Distorted Eikonal Approximation. The result shows that Ps(3S) is the most interesting state to enhance the anti H^+ production at the energy close to the reaction threshold. Regarding the Debye screening, it may be inferred that in lower energy regime, the screening effect enhances the TCS for the 1S and 2S states while reduces the same for the 2P and 3S states of Ps.