Abstract
The paper deals with the Compton disintegration of positronium and a comparison of the differential cross sections of this process with the similar cross sections in the case of the Compton ionization of the hydrogen atom. Special attention is paid to the resonances arising, when the electron and positron move parallel to each other in continuum states with the same velocities and zero relative momentum. It is likely that a manifestation of this effect in the double differential cross section (differential in the electron energy and angle) is found as an additional peak, which grows with a decrease in the photon energy.
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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The computed data used for the figures are available on request.]
References
A.I. Akhiezer, V.B. Berestetskii, QuantumElectrodynamics (John Wiley and Sons, 1965), §30
S. Houamer, O. Chuluunbaatar, I.P. Volobuev, Yu.V. Popov, Compton ionization of hydrogen atom near threshold by photons in the energy range of a few keV: Nonrelativistic approach. Eur. Phys. J. D 74, 81(9pp) (2020). https://doi.org/10.1140/epjd/e2020-100572-1
M. Kircher, F. Trinter, S. Grundmann, I. Vela-Perez, S. Brennecke, N. Eicke, J. Rist, S. Eckart, S. Houamer, O. Chuluunbaatar, Yu.V. Popov, I.P. Volobuev, K. Bagschick, M.N. Piancastelli, M. Lein, T. Jahnke, M.S. Schöffler, R. Dörner, Kinematically complete experimental study of Compton scattering at helium atoms near the threshold. Nat. Phys. 16, 756–760 (2020). https://doi.org/10.1038/s41567-020-0880-2
O. Chuluunbaatar, S. Houamer, Yu.V. Popov, I.P. Volobuev, M. Kircher, R. Doerner, Compton ionization of atoms as a method of dynamical spectroscopy. J. Quant. Spectrosc. Radiat. Transf. (JQSRT) 272, 107820 (2021). https://doi.org/10.1016/j.jqsrt.2021.107820
O. Chuluunbaatar, S. Houamer, Yu.V. Popov, I.P. Volobuev, M. Kircher, R. Doerner, Compton double ionization of the helium atom: Can it be a method of dynamical spectroscopy of ground state electron correlation? J. Quant. Spectrosc. Radiat. Transf. (JQSRT) 278, 108020 (2022). https://doi.org/10.1016/j.jqsrt.2021.108020
Z. Kaliman, K. Pisk, Positronium interaction with low-energy radiation. J. Phys. B: At. Mol. Opt. Phys. 46, 235002 (2013). https://doi.org/10.1088/0953-4075/46/23/235002
K. Pisk, Z. Kaliman, N. Erceg, Wave-particle duality of radiation in Compton scattering. J. Phys. B: At. Mol. Opt. Phys. 49, 235004 (2016). https://doi.org/10.1088/0953-4075/49/23/235004
W. Bothe, H. Geiger, Uber das Wesen des Comptoneffekts; ein experimenteller Beitrag zur Theorie der Strahlung. Z. Phys. 32, 639 (1925)
L.H. Thomas, On the capture of electrons by swiftly moving electrified particles. Proc. R. Soc. Lond. 114, 561–578 (1927). https://www.jstor.org/stable/94828
M. Schulz et al., Absolute doubly differential single-ionizationcross sections in p+He collisions. Phys. Rev. A 54, 2951 (1996). https://doi.org/10.1103/PhysRevA.54.2951
Acknowledgements
The authors are grateful to the experimental team headed by Prof. R. Dörner (Institut für Kernphysik, J. W. Goethe Universität, Frankfurt/Main, Germany) whose experiments inspired us for writing this paper, and for long-time collaboration. The work supported in part by the Heisenberg-Landau program. Yu. P. is grateful to Professor F.M. Pen’kov for useful discussions.
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Stepantsov, I.S., Volobuev, I.P. & Popov, Y.V. Comparative analysis of the Compton ionization of hydrogen and positronium. Eur. Phys. J. D 76, 30 (2022). https://doi.org/10.1140/epjd/s10053-022-00360-3
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DOI: https://doi.org/10.1140/epjd/s10053-022-00360-3