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Four-body Calculation of Inelastic Scattering Cross Sections of Positronium–Antihydrogen Collision

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Abstract

We overview our recent calculations of scattering cross sections of positronium–antihydrogen collisions. We discuss the cross sections calculated in the vicinity of the four-body resonances of \(\bar{\mathrm {H}}\mathrm {Ps}\) and above the energy threshold for the formation of the antihydrogen positive ions (\(\bar{\mathrm {H}}^+\)). In the former energy region where a Rydberg series of resonances dominated by the \(\bar{\mathrm {H}}^+\)-\(\hbox {e}^-\) interaction appears, we show a good agreement between the resonant profiles in the cross sections and the resonance energies calculated by the complex coordinate rotation method. \(\bar{\mathrm {H}}^+\) production cross sections near the threshold energy are reported for the positronium being initially in the (n, l) states with \(n\le 3\), together with all competing elastic/inelastic cross sections. Comparison of our results with the latest continuum distorted wave final state calculation is presented. A qualitative discrepancy concerning the dependence of cross sections on the angular momentum of Ps is indicated.

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Acknowledgements

We would like to thank Dr. Konrad Piszczatowski (a post-doctoral visitor at the Department of Chemistry, Uppsala University from the Quantum Chemistry Laboratory, Warsaw University) for his contribution to code development and for stimulating discussions.

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Authors and Affiliations

  1. Institute for Excellence in Higher Education, Tohoku University, Sendai, Miyagi, 980-8576, Japan

    Takuma Yamashita

  2. Department of Chemistry, Tohoku University, Sendai, Miyagi, 980-8578, Japan

    Takuma Yamashita & Yasushi Kino

  3. Department of Physics, Tohoku University, Sendai, Miyagi, 980-8578, Japan

    Emiko Hiyama

  4. Nishina Center, RIKEN, Wako, Saitama, 351-0198, Japan

    Emiko Hiyama

  5. Department of Physics, Stockholm University, 10691, Stockholm, Sweden

    Svante Jonsell

  6. Department of Chemistry, Uppsala University, Box 518, 751-20, Uppsala, Sweden

    Piotr Froelich

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  1. Takuma Yamashita
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  2. Yasushi Kino
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  3. Emiko Hiyama
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  4. Svante Jonsell
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  5. Piotr Froelich
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Correspondence to Takuma Yamashita.

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T.Y. would like to thank JSPS KAKENHI Grant Number JP20K14381, Y.K. would like to thank JSPS KAKENHI Grant Number 17K05592 and 18H05461, S.J. would like to thank the Swedish Research Council (VR) for financial supports. The computation was conducted on the supercomputers ITO at Kyushu University, Flow at Nagoya University and HOKUSAI at RIKEN.

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Yamashita, T., Kino, Y., Hiyama, E. et al. Four-body Calculation of Inelastic Scattering Cross Sections of Positronium–Antihydrogen Collision. Few-Body Syst 62, 81 (2021). https://doi.org/10.1007/s00601-021-01661-w

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