Hyperfine Interactions

, 240:46 | Cite as

Four-body treatment of the antihydrogen-positronium system: binding, structure, resonant states and collisions

  • Piotr FroelichEmail author
  • Takuma Yamashita
  • Yasushi Kino
  • Svante Jonsell
  • Emiko Hiyama
  • Konrad Piszczatowski
Open Access
Part of the following topical collections:
  1. Proceedings of the 13th International Conference on Low Energy Antiproton Physics (LEAP 2018) Paris, France, 12-16 March 2018


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.


Antihydrogen Positronium Collisions 



We gratefully acknowledge the financial support from the Japan Society for the Promotion of Science (JSPS) and from the Swedish Research Council. T. Y. was financially supported by Grant-in-Aid for JSPS Research Fellow Grant Number JP16J02658 and JSPS Overseas Challenge Program for Young Researchers. Y. K. was supported by JSPS KAKENHI Grant Number JP17K05592.


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Copyright information

© The Author(s) 2019

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  • Piotr Froelich
    • 1
    Email author
  • Takuma Yamashita
    • 2
  • Yasushi Kino
    • 2
  • Svante Jonsell
    • 3
  • Emiko Hiyama
    • 4
  • Konrad Piszczatowski
    • 1
  1. 1.Department of Theoretical ChemistryUppsala UniversityUppsalaSweden
  2. 2.Department of ChemistryTohoku UniversitySendaiJapan
  3. 3.Department of PhysicsStockholm UniversityStockholmSweden
  4. 4.RIKENNishina CenterWakoJapan

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