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e + e pair production in ultrarelativistic heavy-ion collisions at intermediate impact parameters

  • Nuclei, Particles, Fields, Gravitation, and Astrophysics
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Abstract

Using the semiclassical Green’s function in the Coulomb field, we analyze the probabilities of single and multiple e + e pair production at a fixed impact parameter b between colliding ultrarelativistic heavy nuclei. We perform calculations in the Born approximation with respect to the parameter Z Bα and exactly in Z Aα, where Z A and Z B are the charge numbers of the corresponding nuclei. We also obtain the approximate formulas for the probabilities valid for Z Aα, Z Bα ≲ 1.

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References

  1. C. Bertulani and G. Baur, Phys. Rep. 163, 299 (1988).

    Article  ADS  Google Scholar 

  2. G. Baur, K. Hencken, D. Trautmann, et al., Phys. Rep. 364, 359 (2002).

    Article  ADS  Google Scholar 

  3. C. A. Bertulani, S. R. Klein, and J. Nystrand, Annu. Rev. Nucl. Part. Sci. 55, 271 (2005).

    Article  ADS  Google Scholar 

  4. B. Segev and J. C. Wells, Phys. Rev. A 57, 1849 (1998); physics/9805013.

    Article  ADS  Google Scholar 

  5. A. J. Baltz and L. McLerran, Phys. Rev. C 58, 1679 (1998).

    Article  ADS  Google Scholar 

  6. U. Eichmann, J. Reinhardt, S. Schramm, and W. Greiner, Phys. Rev. A 59, 1223 (1999).

    Article  ADS  Google Scholar 

  7. A. J. Baltz, F. Gelis, L. McLerran, and A. Peshier, Nucl. Phys. A 695, 395 (2001).

    Article  ADS  Google Scholar 

  8. L. D. Landau and E. M. Lifshitz, Phys. Z. Sowjetunion 6, 244 (1934).

    MATH  Google Scholar 

  9. G. Racah, Nuovo Cimento 14, 93 (1937).

    Article  MATH  Google Scholar 

  10. R. N. Lee and A. I. Milstein, Phys. Rev. A 61, 032103 (2000).

    Google Scholar 

  11. R. N. Lee and A. I. Milstein, Phys. Rev. A 64, 032106 (2001).

    Google Scholar 

  12. D. Yu. Ivanov, A. Schiller, and V. G. Serbo, Phys. Lett. B 454, 155 (1999).

    Article  ADS  Google Scholar 

  13. A. J. Baltz, Phys. Rev. C 71, 024901 (2005); 71, 039901(E) (2005).

  14. A. J. Baltz, nucl-th/0608006.

  15. G. Baur, Phys. Rev. D 41, 3535 (1990).

    Article  ADS  Google Scholar 

  16. M. J. Rhoades-Brown and J. Weneser, Phys. Rev. A 44, 330 (1991).

    Article  ADS  Google Scholar 

  17. C. Best, W. Greiner, and G. Soff, Phys. Rev. A 46, 261 (1992).

    Article  ADS  Google Scholar 

  18. K. Hencken, D. Trautmann, and G. Baur, Phys. Rev. A 51, 998 (1995).

    Article  ADS  Google Scholar 

  19. K. Hencken, D. Trautmann, and G. Baur, Phys. Rev. A 51, 1874 (1995).

    Article  ADS  Google Scholar 

  20. M. C. Güçlü, J. C. Wells, A. S. Umar, et al., Phys. Rev. A 51, 1836 (1995).

    Article  ADS  Google Scholar 

  21. M. C. Güçlü, Nucl. Phys. A 668, 149 (2000).

    Article  ADS  Google Scholar 

  22. K. Hencken, G. Baur, and D. Trautmann, Phys. Rev. C 69, 054902 (2004).

    Google Scholar 

  23. M. C. Güçlü, G. Kovankaya, and M. Yilmaz, Phys. Rev. A 72, 022724 (2005).

    Google Scholar 

  24. R. N. Lee, A. I. Milstein, and V. G. Serbo, Phys. Rev. A 65, 022102 (2002).

    Google Scholar 

  25. R. N. Lee, A. I. Milstein, and V. M. Strakhovenko, Phys. Rev. A 69, 022708 (2004).

    Google Scholar 

  26. R. N. Lee, A. I. Milstein, V. M. Strakhovenko, and O. Ya. Schwartz, Zh. Éksp. Teor. Fiz. 127, 5 (2005) [JETP 100, 1 (2005)].

    Google Scholar 

  27. K. Hencken, D. Trautmann, and G. Baur, Phys. Rev. C 59, 841 (1999).

    Article  ADS  Google Scholar 

  28. A. Alscher, K. Hencken, D. Trautmann, and G. Baur, Phys. Rev. A 55, 396 (1997).

    Article  ADS  Google Scholar 

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Lee, R.N., Milstein, A.I. e + e pair production in ultrarelativistic heavy-ion collisions at intermediate impact parameters. J. Exp. Theor. Phys. 104, 423–430 (2007). https://doi.org/10.1134/S1063776107030077

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  • DOI: https://doi.org/10.1134/S1063776107030077

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