Abstract
We have developed a coupled-rearrangement-channel method allowing the rigorous non-adiabatic treatment of the multi-channel scattering problem for four particles. We present the study of the binding, resonant and collisional properties of the bar {H}-Ps system with the total angular momentum J = 0+ (singlet positronic configuration). The binding energy, the life-times of the resonant states and the collisional cross sections are calculated and discussed. We present the preliminary cross sections for the elastic and inelastic bar {H}-Ps scattering, notably for the excitation of Ps and for the rearrangement reaction producing the bar {H}^{+} ions.
Highlights
The experiment aiming to study the Gravitational Behavior of Antihydrogen at Rest (GBAR) involves the step whereby the antihydrogen atoms collide with positronium atoms to form the positronium hydride molecular ions H + suitable for sympathetic cooling [1,2,3,4]
In view of that we have undertaken the investigation of the H P s system with a method capable to describe the multichannel aspects of the H − P s scattering, including the elastic and inelastic processes, the rearrangement reaction leading to the H + production
To describe the structure of the the H − P s system we apply the variational approach based on the Gaussian Expansion Method (GEM) [13, 14]
Summary
The experiment aiming to study the Gravitational Behavior of Antihydrogen at Rest (GBAR) involves the step whereby the antihydrogen atoms collide with positronium atoms to form the positronium hydride molecular ions H + suitable for sympathetic cooling [1,2,3,4]. The H P s system has been studied before, both in works concentrating on its ground state [5,6,7,8] and in works treating the scattering [9,10,11,12]. In the present work we use the description that is suitable to study both these aspects. This article is part of the Topical Collection on Proceedings of the 13th International Conference on Low Energy Antiproton Physics (LEAP 2018) Paris, France, 12-16 March 2018 Edited by Paul Indelicato, Dirk van der Werf and Yves Sacquin. Extended author information available on the last page of the article
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