Resonant antihydrogen formation in antiproton–positronium collisions

Abstract

We study the influence of narrow resonances on antihydrogen formation cross sections via the three-body reaction . The latter is of interest for the gravitational behavior of antihydrogen at rest experiment that will be performed at CERN in the near future. The complex scaling method is employed to compute the positions and widths of these resonances, whereas the Kohn-variational principle is used for the determination of the scattering cross sections. A very good agreement is found with available theoretical results. The impact of these resonances on the cross section is analyzed.

Special issue on antihydrogen and positronium

“…Atomic scattering theory has frequently been brought to bear on problems of relevance to H formation and interaction, with a recent notable example of the former being the p -Ps work of Kadyrov and Bray and co-workers [45,46]. This system has also been studied by Lazauskas et al [47], and in particular resonance structures which appear just below various thresholds. Unfortunately the features are probably too narrow to influence the experimental H production yield using p -Ps collisions.…”