Towards prediction of the rates of antihydrogen positive ion production in collision of antihydrogen with excited positronium

T. Yamashita, Y. Kino, E. Hiyama, K. Piszczatowski, S. Jonsell, P. Froelich

Research output: Contribution to journalConference articlepeer-review

3 Citations (Scopus)


We present a 4-body calculation of scattering between an antihydrogen atom (H) and a positronium (Ps) aiming at the prediction of cross sections for the production of antihydrogen positive ions H+. The antihydrogen positive ions are expected to be a useful source of ultra-cold anti-atoms for the test of matter-antimatter gravity. We convert the Schrödinger equation to a set of coupled integro-differential equations that involve intermediate states which facilitate the internal region description of the scattering wavefunction. They are solved using a compact finite difference method. Our framework is extended to scattering between an excited Ps and H. Cross sections of the reactions, Ps (1s/2s/3s) H to e-+H+ in s-wave collisions, are calculated. It is found that the reactions originating from Ps (1s/2s) + H produce H+ with a constant cross section within 0.05 eV above the threshold while the reaction cross section from Ps (3s) decreases as the collision energy increases in the same energy interval. Just above the threshold, the cross section of H+ production from Ps (3s) + H in s-wave collision is 7.8 times larger than that from Ps (1s) + H in s-wave and 2.3 times larger than that from Ps (2s) + H> in s-wave. The near-threshold de-excitation reaction from Ps (3s) + H occurs more rapidly than the H+ production.

Original languageEnglish
Article number052012
JournalJournal of Physics: Conference Series
Issue number5
Publication statusPublished - Jun 11 2020
Event31st International Conference on Photonic, Electronic and Atomic Collisions, ICPEAC 2019 - Deauville, France
Duration: Jul 23 2019Jul 30 2019

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


Dive into the research topics of 'Towards prediction of the rates of antihydrogen positive ion production in collision of antihydrogen with excited positronium'. Together they form a unique fingerprint.

Cite this