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Positronium hydride decay into proton, electron, and one or zero photons

M. Jamil Aslam

Wen Chen*, Andrzej Czarnecki, Muhammad Mubasher, and Connor Stephens

  • Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2E1 and Department of Physics, Quaid-i-Azam University, Islamabad, Pakistan

  • Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2E1

  • *Present address: School of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China.

Phys. Rev. A 107, 062816 – Published 16 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.062816

Abstract

Decay rates of the positronium hydride PsH, a bound state of a proton, a positron, and two electrons, are determined for two rare channels, PsHp+eγ and PsHp+e. Previous studies overestimated these rates by factors of about 2 and 700, respectively. We explain the physics underlying these wrong predictions. We confirm a range of static PsH properties, including the nonrelativistic ground-state energy, expectation values of interparticle distances and their powers, and the three- and four-particle coalescence probabilities, using a variational method in the Gaussian basis.

Physics Subject Headings (PhySH)

Article Text

References (39)

  1. S. Bubin and K. Varga, Ground-state energy and relativistic corrections for positronium hydride, Phys. Rev. A 84, 012509 (2011).
  2. Y. Nagashima (private communication).
  3. J. A. Wheeler, Polyelectrons, Ann. NY Acad. Sci. 48, 219 (1946).
  4. E. A. Hylleraas and A. Ore, Binding energy of the positronium molecule, Phys. Rev. 71, 493 (1947).
  5. A. Ore, The existence of wheeler-compounds, Phys. Rev. 83, 665 (1951).
  6. S. M. Neamtan, G. Darewych, and G. Oczkowski, Annihilation of positrons from the He+ ground state, Phys. Rev. 126, 193 (1962).
  7. V. I. Goldanskii, in The Quenching of Positronium and the Inhibition of its Formation, edited by A. T. Stewart and L. O. Roellig, Positron Annihilation: Proceedings of the Conference Held at Wayne State University, 1965 (Academic Press, New York, 1967), p. 183.
  8. C. F. Lebeda and D. M. Schrader, Towards an accurate wave function for positronium hydride, Phys. Rev. 178, 24 (1969).
  9. P. Nevin, D. M. Schrader, and C. F. Lebeda, An improved wave function for positronium hydride: Preliminary report, Appl. Phys. 3, 159 (1974).
  10. Y. K. Ho, A resonant state and the ground state of positronium hydride, Phys. Rev. A 17, 1675 (1978).
  11. T. Yoshida and G. Miyako, Diffusion quantum Monte Carlo calculations of positronium hydride and positron lithium, Phys. Rev. A 54, 4571 (1996).
  12. A. M. Frolov and V. H. Smith, Ground state of positronium hydride, Phys. Rev. A 56, 2417 (1997).
  13. Y. Nagashima, T. Hyodo, K. Fujiwara, and A. Ichimura, Momentum-transfer cross section for slow positronium-He scattering, J. Phys. B 31, 329 (1998).
  14. A. M. Frolov, Bound-state properties, positron annihilation and hyperfine structure of the four-body positronium hydrides, Mol. Phys. 120, e2019337 (2022).
  15. J. A. Charry Martinez, M. Barborini, and A. Tkatchenko, Correlated wave functions for electron–positron interactions in atoms and molecules, J. Chem. Theor. Comput. 18, 2267 (2022).
  16. M. Emami-Razavi and J. W. Darewych, Review of experimental and theoretical research on positronium ions and molecules, Eur. Phys. J. D 75, 188 (2021).
  17. Z.-C. Yan and Y. Ho, Ground state and S-wave autodissociating resonant states of positronium hydride, Phys. Rev. A 59, 2697 (1999).
  18. J. DiRienzi and R. J. Drachman, Possible high-lying resonances in the positronium-hydrogen system, Phys. Rev. A 76, 032705 (2007).
  19. Z.-C. Yan and Y. Ho, Higher-lying resonances in Ps-H scattering below the e+H threshold, Phys. Rev. A 84, 034503 (2011).
  20. T. Yamashita, Y. Kino, E. Hiyama, S. Jonsell, and P. Froelich, Four-body calculation of inelastic scattering cross sections of positronium–antihydrogen collision, Few-Body Syst. 62, 81 (2021).
  21. R. Pareja, R. M. de la Cruz, M. A. Pedrosa, R. González, and Y. Chen, Positronium hydride in hydrogen-laden thermochemically reduced MgO single crystals, Phys. Rev. B 41, 6220 (1990).
  22. D. M. Schrader, F. M. Jacobsen, N.-P. Frandsen, and U. Mikkelsen, Formation of Positronium Hydride, Phys. Rev. Lett. 69, 57 (1992).
  23. Z.-C. Yan and Y. K. Ho, Relativistic effects in positronium hydride, Phys. Rev. A 60, 5098 (1999).
  24. S. K. Houston and R. J. Drachman, Comment on the ground state of positronium hydride, Phys. Rev. A 7, 819 (1973).
  25. B. A. P. Page and P. A. Fraser, The ground state of positronium hydride, J. Phys. B 7, L389 (1974).
  26. P. B. Navin, D. M. Schrader, and C. F. Lebeda, Improved wave function for positronium hydride, Phys. Rev. A 9, 2248 (1974).
  27. G. Ferrante, Annihilation of positrons from positronium negative ion ee+e, Phys. Rev. 170, 76 (1968).
  28. A. M. Frolov and V. H. Smith, Positronium hydrides and the Ps2 molecule: Bound-state properties, positron annihilation rates, and hyperfine structure, Phys. Rev. A 55, 2662 (1997).
  29. A. M. Frolov, Positron annihilation in the positronium negative ion Ps, Phys. Lett. A 342, 430 (2005).
  30. A. M. Frolov, Annihilation of electron-positron pairs in the positronium ion Ps and bipositronium Ps2, Phys. Rev. A 80, 014502 (2009).
  31. M. Puchalski and A. Czarnecki, Dipole Excitation of the Positronium Molecule Ps2, Phys. Rev. Lett. 101, 183001 (2008).
  32. Y. K. Ho, Positron annihilation in positronium hydrides, Phys. Rev. A 34, 609 (1986).
  33. T. Kato, On the eigenfunctions of many-particle systems in quantum mechanics, Commun. Pure Appl. Math. 10, 151 (1957).
  34. A. Czarnecki, K. Melnikov, and A. Yelkhovsky, Positronium S state spectrum: Analytic results at O(mα6), Phys. Rev. A 59, 4316 (1999).
  35. S. I. Kryuchkov, On the one-photon annihilation of the Ps ion, J. Phys. B 27, L61 (1994).
  36. M. J. Aslam, W. Chen, A. Czarnecki, S. R. Mir, and M. Mubasher, Rare decays of the positronium ion and molecule, Pseγ and Ps2e+eγ,γγ,e+e, Phys. Rev. A 104, 052803 (2021).
  37. M. Puchalski, A. Czarnecki, and S. G. Karshenboim, Positronium-Ion Decay, Phys. Rev. Lett. 99, 203401 (2007).
  38. A. M. Frolov, Bound-state properties of the positronium negative ion Ps, Phys. Rev. A 60, 2834 (1999).
  39. S. Bubin and L. Adamowicz, Nonrelativistic variational calculations of the positronium molecule and the positronium hydride, Phys. Rev. A 74, 052502 (2006).

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