Log in

Positron-hydrogen scattering: internal consistency and threshold behaviour for excited states

  • Regular Article – Atomic and Molecular Collisions
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

The positron-hydrogen collision system is considered with the one- and two-centre convergent close-coupling methods with a particular focus on initial excited states. The previous limitation on the two-centre method, restricting the Laguerre basis size, has been removed allowing for larger bases, which is necessary for the examination of the near-threshold cross section behaviour for three-body breakup. Excellent agreement with the Wannier–Klar predictions for these systems is found for initial states with principal quantum number \(n\le 3\). The accuracy of the presented cross sections is supported by demonstrating internal consistency of the one- and two-centre calculations.

Graphic abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

Data Availability

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Quantitative data presented in the figures may be obtained via an electronic scan, or requested from the lead author.]

References

  1. A.S. Kadyrov, I. Bray, M. Charlton, I.I. Fabrikant, Quantum suppression of antihydrogen formation in positronium-antiproton scattering. Nat. Commun. 8(1), 1544 (2017). https://doi.org/10.1038/s41467-017-01721-y

    Article  ADS  Google Scholar 

  2. I. Bray, A.W. Bray, D.V. Fursa, A.S. Kadyrov, Near-threshold cross sections for electron and positron impact ionization of atomic hydrogen. Phys. Rev. Lett. 121, 203401 (2018). https://doi.org/10.1103/PhysRevLett.121.203401

    Article  ADS  Google Scholar 

  3. A.S. Kadyrov, C.M. Rawlins, M. Charlton, I.I. Fabrikant, I. Bray, Antihydrogen formation in low-energy antiproton collisions with excited-state positronium atoms. Hyperfine Interact. 239(1), 42 (2018). https://doi.org/10.1007/s10751-018-1519-x

    Article  ADS  Google Scholar 

  4. H.B. Ambalampitiya, D.V. Fursa, A.S. Kadyrov, I. Bray, I.I. Fabrikant, Charge transfer in positronium-proton collisions: comparison of classical and quantum-mechanical theories. J. Phys. B: At. Mol. Opt. Phys. 53(15), 155201 (2020). https://doi.org/10.1088/1361-6455/ab91e2

    Article  ADS  Google Scholar 

  5. M. Charlton, H.B. Ambalampitiya, I.I. Fabrikant, D.V. Fursa, A.S. Kadyrov, I. Bray, Collisions of antiprotons with excited positronium atoms. Phys. Rev. A 104, 060803 (2021). https://doi.org/10.1103/PhysRevA.104.L060803

    Article  ADS  Google Scholar 

  6. M. Charlton, H.B. Ambalampitiya, I.I. Fabrikant, I. Kalinkin, D.V. Fursa, A.S. Kadyrov, I. Bray, Antiproton collisions with excited positronium. Phys. Rev. A 107, 012814 (2023). https://doi.org/10.1103/PhysRevA.107.012814

    Article  ADS  Google Scholar 

  7. H.B. Ambalampitiya, J. Stallbaumer, I.I. Fabrikant, I. Kalinkin, D.V. Fursa, A.S. Kadyrov, I. Bray, Near-threshold collisional dynamics in the \({e}^{-}{e}^{+}p\) system. Phys. Rev. A 108, 032808 (2023). https://doi.org/10.1103/PhysRevA.108.032808

  8. A.S. Kadyrov, I. Bray, Two-center convergent close-coupling approach to positron-hydrogen collisions. Phys. Rev. A 66(1), 012710 (2002). https://doi.org/10.1103/PhysRevA.66.012710

    Article  ADS  Google Scholar 

  9. G.H. Wannier, The threshold law for single ionization of atoms or ions by electrons. Phys. Rev. 90, 817–825 (1953). https://doi.org/10.1103/PhysRev.90.817

    Article  ADS  MATH  Google Scholar 

  10. H. Klar, Threshold ionisation of atoms by positrons. J. Phys. B: At. Mol. Phys. 14(21), 4165 (1981). https://doi.org/10.1088/0022-3700/14/21/027

    Article  ADS  Google Scholar 

  11. J.J. Bailey, A.S. Kadyrov, I. Bray, Internal consistency in positron-hydrogen-scattering calculations. Phys. Rev. A 91, 012712 (2015). https://doi.org/10.1103/PhysRevA.91.012712

    Article  ADS  Google Scholar 

  12. I. Bray, J.J. Bailey, D.V. Fursa, A.S. Kadyrov, R. Utamuratov, Internal consistency in the close-coupling approach to positron collisions with atoms. Eur. Phys. J. D 70(1), 6 (2016). https://doi.org/10.1140/epjd/e2015-60591-7

    Article  ADS  Google Scholar 

  13. I. Bray, A.T. Stelbovics, Convergent close-coupling calculations of electron-hydrogen scattering. Phys. Rev. A 46, 6995–7011 (1992). https://doi.org/10.1103/PhysRevA.46.6995

    Article  ADS  Google Scholar 

  14. I. Bray, A.T. Stelbovics, Convergent close-coupling calculations of low-energy positron-atomic-hydrogen scattering. Phys. Rev. A 48, 4787–4789 (1993). https://doi.org/10.1103/PhysRevA.48.4787

    Article  ADS  Google Scholar 

  15. I. Bray, A.T. Stelbovics, Calculation of the total and total ionization cross sections for positron scattering on atomic hydrogen. Phys. Rev. A 49, 2224–2226 (1994). https://doi.org/10.1103/PhysRevA.49.R2224

    Article  ADS  Google Scholar 

Download references

Acknowledgements

We gratefully acknowledge the financial support of the Australian Research Council, and the computational resources provided by the Pawsey Supercomputing Centre, with funding from the Australian Government and Government of Western Australia. We also acknowledge the Texas Advanced Computing Center (TACC) and the National Computing Infrastructure of Australia. IIF has been supported by the US National Science Foundation, Grant No. PHY-1803744.

Author information

Authors and Affiliations

Authors

Contributions

The lead author performed the calculations and wrote the original manuscript, the others contributed ranging from assisting with code development, develo** the underlying concepts through to reading and improving the manuscript.

Corresponding author

Correspondence to Igor Bray.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bray, I., Kalinkin, I., Fursa, D.V. et al. Positron-hydrogen scattering: internal consistency and threshold behaviour for excited states. Eur. Phys. J. D 77, 194 (2023). https://doi.org/10.1140/epjd/s10053-023-00778-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/s10053-023-00778-3

Navigation