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Low Temperature Hydrogen Antihydrogen Interactions
Authors:E. A. G. Armour  C. W. Chamberlain
Affiliation:(1) School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK;(2) School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK
Abstract:In view of current interest in the trapping of antihydrogen ( 
$$bar {mathcal{H}}$$
) atoms at low temperatures [1–3], we have carried out a full four-body variational calculation to determine s-wave elastic phase shifts for hydrogen antihydrogen scattering, using the Kohn Variational Principle. Terms outside the Born–Oppenheimer approximation have been taken into account using the formalism of Kołos and Wolniewicz [4]. As far as we are aware, this is the first time that these terms have been included in an H 
$$bar {mathcal{H}}$$
scattering calculation. This is a continuation of earlier work on H– 
$$bar {mathcal{H}}$$
interactions [5–7]. Preliminary results differ substantially from those calculated using the Born–Oppenheimer approximation [8–10]. A method is outlined for reducing this discrepancy and taking the rearrangement channel into account. This revised version was published online in August 2006 with corrections to the Cover Date.
Keywords:antihydrogen  hydrogen  elastic scattering  protonium  positronium
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