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Bremsstrahlung photon polarization observables in Bethe-Heitler process: Calculation in an exact kinematics

Yu. M. Bystritskiy1,* and V. A. Zykunov1,2,†

  • *Contact author: bystr@theor.jinr.ru
  • †Contact author: vladimir.zykunov@cern.ch, zykunov@jinr.ru

Phys. Rev. D 113, 096012 – Published 18 May, 2026

DOI: https://doi.org/10.1103/nfqr-znhr

Abstract

The effects of polarization transfer from the initial electron to the bremsstrahlung photon in electron-nucleus scattering (Bethe-Heitler process) are considered. The calculation is carried out without the assumption of smallness of the electron mass. A detailed comparison with previous well-known works is made. Some issues related to neglecting the electron mass are shown and commented on. The results are applicable to the modeling of polarized cross sections at energies down to the electron mass scale.

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References (42)

  1. A. Sommerfeld, Ann. Phys. (Berlin) 403, 257 (1931).
  2. W. Heitler and F. Sauter, Nature (London) 132, 892.1 (1933).
  3. H. Bethe and W. Heitler, Proc. R. Soc. A 146, 83 (1934).
  4. G. Wick, Phys. Rev. 81, 467 (1951).
  5. M. May and G. Wick, Phys. Rev. 81, 628 (1951).
  6. M. May, Phys. Rev. 84, 265 (1951).
  7. H. Olsen, L. Maximon, and H. Wergeland, Phys. Rev. 106, 27 (1957).
  8. H. Olsen and L. Maximon, Phys. Rev. 114, 887 (1959).
  9. B. Mecking et al. (CLAS Collaboration), Nucl. Instrum. Methods Phys. Res., Sect. A 503, 513 (2003).
  10. S. Adhikari et al. (GlueX Collaboration), Nucl. Instrum. Methods Phys. Res., Sect. A 987, 164807 (2021).
  11. T. Omori et al., Phys. Rev. Lett. 96, 114801 (2006).
  12. G. Alexander et al., Phys. Rev. Lett. 100, 210801 (2008).
  13. D. Abbott et al. (PEPPo Collaboration), Phys. Rev. Lett. 116, 214801 (2016).
  14. E. Voutier (PEPPo Collaboration), Polarized positron production at meV electron accelerators, in 19th International Workshop on Low-Energy Positron and Positronium Physics and 20th International Symposium on Electron-Molecule Collisions and Swarms (2017), arXiv:1711.09659.
  15. A. Potylitsin, Nucl. Instrum. Methods Phys. Res., Sect. A 398, 395 (1997).
  16. N. Alamanos, M. Battaglieri, D. Higinbotham, S. Niccolai, A. Schmidt, and E. Voutier, Eur. Phys. J. A 58, 45 (2022).
  17. A. Accardi et al., Eur. Phys. J. A 57, 261 (2021).
  18. S. Habet et al., JACoW IPAC2022, 457 (2022).
  19. J. Dumas, J. Grames, and E. Voutier, AIP Conf. Proc. 1160, 120 (2009).
  20. J. Dumas, Feasibility studies of a polarized positron source based on the bremsstrahlung of polarized electrons, PhD thesis, Laboratoire de Physique Subatomique et de Cosmologie, France, 2011.
  21. E. A. Kuraev, Y. M. Bystritskiy, M. Shatnev, and E. Tomasi-Gustafsson, Phys. Rev. C 81, 055208 (2010).
  22. M. B. Barbaro, C. Maieron, and E. Voutier, Phys. Lett. B 726, 505 (2013); 727, 573(E) (2013).
  23. W. H. McMaster, Am. J. Phys. 22, 351 (1954).
  24. P. Zyla et al. (Particle Data Group Collaboration), Prog. Theor. Exp. Phys. 2020, 083C01 (2020).
  25. G. Moliere, Z. Naturforsch. A 2, 133 (1947).
  26. M. V. Bondarenco, Phys. Rev. A 108, 032813 (2023).
  27. I. Lobato and D. Van Dyck, Acta Crystallogr. Sect. A 70, 636 (2014).
  28. F. Bloch, Ann. Phys. (Berlin) 408, 285 (1933).
  29. A. Tarasov and O. Voskresenskaya, An improvement of the Moli‘ere-Fano multiple scattering theory, in 6th Workshop on Hadronic Atoms (HadAtom05) (2011), arXiv:1107.5018.
  30. M. Bondarenco, Eur. Phys. J. C 82, 870 (2022).
  31. U. Fano, H. W. Koch, and J. W. Motz, Phys. Rev. 112, 1679 (1958).
  32. K. W. McVoy and U. Fano, Phys. Rev. 116, 1168 (1959).
  33. R. H. Pratt, Phys. Rev. 120, 1717 (1960).
  34. H. A. Olsen and L. C. Maximon, Phys. Rev. A 18, 2517 (1978).
  35. L. D. Landau and I. Pomeranchuk, Dokl. Akad. Nauk Ser. Fiz. 92, 535 (1953).
  36. A. B. Migdal, Phys. Rev. 103, 1811 (1956).
  37. S. Klein, Rev. Mod. Phys. 71, 1501 (1999).
  38. E. Haug and W. Nakel, The Elementary Process of Bremsstrahlung (World Scientific, Singapore, 2004).
  39. V. N. Baier, E. A. Kuraev, V. S. Fadin, and V. A. Khoze, Phys. Rep. 78, 293 (1981).
  40. V. V. Sudakov, Sov. Phys. JETP 3, 65 (1956).
  41. Yu. M. Bystritskiy, https://github.com/timidpirate/2509.05011-hep-ph (2026).
  42. W. McMaster, Rev. Mod. Phys. 33, 8 (1961).

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