POSITRON SUPERCRITICAL RESONANCES AND SPONTANEOUS POSITRON CREATION IN SLOW COLLISIONS OF HEAVY NUCLEI

Cover Page

Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

We present a theoretical and computational study of positron supercritical resonances in systems consisting of two highly-charged bare nuclei. The resonance positions and widths depending on the internuclear separation are calculated with the help of the complex-scaling generalized pseudospectral method in modified prolate spheroidal coordinates. The results are applied to estimate the probability of spontaneous positron creation in slow U92+–U92+ and Cm96+– Cm96+ collisions.

About the authors

D. A. Telnov

St. Petersburg State University

Email: d.telnov@spbu.ru
St. Petersburg, Russia

N. K. Dulaev

St. Petersburg State University; National Research Center “Kurchatov Institute” – PNPI

St. Petersburg, Russia; Gatchina, Russia

Y. S. Kozhedub

St. Petersburg State University

St. Petersburg, Russia

I. A. Maltsev

St. Petersburg State University

St. Petersburg, Russia

R. V. Popov

St. Petersburg State University; National Research Center “Kurchatov Institute” – PNPI

St. Petersburg, Russia; Gatchina, Russia

I. I. Tupitsyn

St. Petersburg State University

St. Petersburg, Russia

V. M. Shabaev

St. Petersburg State University; National Research Center “Kurchatov Institute” – PNPI

Email: v.shabaev@spbu.ru
St. Petersburg, Russia; Gatchina, Russia

References

  1. E. S. Fradkin, D. M. Gitman, and S. M. Shvartsman, Quantum Electrodynamics with Unstable Vacuum (Springer-Verlag, Berlin, 1991).
  2. Pomeranchuk and J. Smorodinsky, J. Phys. USSR 9, 97 (1945).
  3. С. С. Герштейн, Я. Б. Зельдович, ЖЭТФ 57, 654 (1969) [Sov. Phys. JETP 30, 358 (1970)].
  4. W. Pieper and W. Greiner, Z. Phys. 218, 327 (1969).
  5. Я. Б. Зельдович, В. С. Попов, УФН 105, 403 (1971) [Sov. Phys. Usp. 14, 673 (1972)].
  6. W. Greiner, B. Muller, and J. Rafelski, Quantum Electrodynamics of Strong Fields (Springer-Verlag, Berlin, 1985).
  7. D. N. Voskresensky, Universe 7, 104 (2021).
  8. J. Reinhardt and W. Greiner, in Proceeding of the Memorial Symposium for Gerhard Soff, Ed. W. Greiner and J. Reinhardt (EP Systema, Budapest, 2005), p. 181.
  9. A. Maltsev, V. M. Shabaev, R. V. Popov, Y. S. Kozhedub, G. Plunien, X. Ma, T. Stohlker, and D. A. Tumakov, Phys. Rev. Lett. 123, 113401 (2019).
  10. V. M. Shabaev, A. I. Bondarev, D. A. Glazov, Y. S. Kozhedub, I. A. Maltsev, A. V. Malyshev, R. V. Popov, D. A. Tumakov, and I. I. Tupitsyn, PoS(FFK2019), https://pos.sissa.it/353/052/pdf
  11. R. V. Popov, V. M. Shabaev, D. A. Telnov, I. I. Tupitsyn, I. A. Maltsev, Y. S. Kozhedub, A. I. Bondarev, N. V. Kozin, X. Ma, G. Plunien, T. Stohlker, D. A. Tumakov, and V. A. Zaytsev, Phys. Rev. D 102, 076005 (2020).
  12. R. V. Popov, V. M. Shabaev, I. A. Maltsev, D. A. Telnov, N. K. Dulaev, and D. A. Tumakov, Phys. Rev. D 107, 116014 (2023).
  13. В. С. Попов, ЖЭТФ 65, 35 (1973) [Sov. Phys. JETP 38, 18 (1974)].
  14. H. Peitz, B. Muller, J. Rafelski, and W. Greiner, Lett. Nuovo Cimento 8, 37 (1973).
  15. S. I. Godunov, B. Machet, and M. I. Vysotsky, Eur. Phys. J. C 77, 782 (2017).
  16. А. Б. Мигдал, В. С. Попов, Д. Н. Воскресенский, ЖЭТФ 72, 834 (1977) [Sov. Phys. JETP 45, 436 (1977)].
  17. А. И. Ахиезер, В. Б. Берестецкий, Квантовая электродинамика (Наука, Москва, 1981).
  18. J. Muga, J. Palao, B. Navarro, and I. Egusquiza, Phys. Rep. 395, 357 (2004).
  19. N. Moiseyev, Phys. Rep. 302, 211 (1998).
  20. Angeli and K. P. Marinova, At. Data Nucl. Data Tables 99, 69 (2013).
  21. F. A. Parpia and A. K. Mohanty, Phys. Rev. A 46, 3735 (1992).
  22. L. Visscher and K. G. Dyall, At. Data Nucl. Data Tables 67, 207 (1997).
  23. V. M. Shabaev, I. I. Tupitsyn, and V. A. Yerokhin, Phys. Rev. A 88, 012513 (2013).
  24. D. V. Mironova, I. I. Tupitsyn, V. M. Shabaev, and G. Plunien, Chem. Phys. 449, 10 (2015).
  25. E. Tiesinga, P. J. Mohr, D. B. Newell, and B. N. Taylor, Rev. Mod. Phys. 93, 025010 (2021).
  26. D. A. Telnov, D. A. Krapivin, J. Heslar, and S. I. Chu, J. Phys. Chem. A 122, 8026 (2018).
  27. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1972), 10th ed.
  28. D. A. Telnov and S.-I. Chu, Phys. Rev. A 80, 043412 (2009).
  29. S.-I. Chu and D. A. Telnov, Phys. Rep. 390, 1 (2004).
  30. D. A. Telnov and S.-I. Chu, Phys. Rev. A 76, 043412 (2007).
  31. И. А. Мальцев, В. М. Шабаев, В. А. Зайцев, Р. В. Попов, Ю. С. Кожедуб, Д. А. Тумаков, Опт. и спектр. 128, 1094 (2020) [Opt. Spectr. 128, 1100 (2020)].
  32. Marsman and M. Horbatsch, Phys. Rev. A 84, 032517 (2011).

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2024 Russian Academy of Sciences