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.
Similar content being viewed by others
References
C. Bertulani and G. Baur, Phys. Rep. 163, 299 (1988).
G. Baur, K. Hencken, D. Trautmann, et al., Phys. Rep. 364, 359 (2002).
C. A. Bertulani, S. R. Klein, and J. Nystrand, Annu. Rev. Nucl. Part. Sci. 55, 271 (2005).
B. Segev and J. C. Wells, Phys. Rev. A 57, 1849 (1998); physics/9805013.
A. J. Baltz and L. McLerran, Phys. Rev. C 58, 1679 (1998).
U. Eichmann, J. Reinhardt, S. Schramm, and W. Greiner, Phys. Rev. A 59, 1223 (1999).
A. J. Baltz, F. Gelis, L. McLerran, and A. Peshier, Nucl. Phys. A 695, 395 (2001).
L. D. Landau and E. M. Lifshitz, Phys. Z. Sowjetunion 6, 244 (1934).
G. Racah, Nuovo Cimento 14, 93 (1937).
R. N. Lee and A. I. Milstein, Phys. Rev. A 61, 032103 (2000).
R. N. Lee and A. I. Milstein, Phys. Rev. A 64, 032106 (2001).
D. Yu. Ivanov, A. Schiller, and V. G. Serbo, Phys. Lett. B 454, 155 (1999).
A. J. Baltz, Phys. Rev. C 71, 024901 (2005); 71, 039901(E) (2005).
A. J. Baltz, nucl-th/0608006.
G. Baur, Phys. Rev. D 41, 3535 (1990).
M. J. Rhoades-Brown and J. Weneser, Phys. Rev. A 44, 330 (1991).
C. Best, W. Greiner, and G. Soff, Phys. Rev. A 46, 261 (1992).
K. Hencken, D. Trautmann, and G. Baur, Phys. Rev. A 51, 998 (1995).
K. Hencken, D. Trautmann, and G. Baur, Phys. Rev. A 51, 1874 (1995).
M. C. Güçlü, J. C. Wells, A. S. Umar, et al., Phys. Rev. A 51, 1836 (1995).
M. C. Güçlü, Nucl. Phys. A 668, 149 (2000).
K. Hencken, G. Baur, and D. Trautmann, Phys. Rev. C 69, 054902 (2004).
M. C. Güçlü, G. Kovankaya, and M. Yilmaz, Phys. Rev. A 72, 022724 (2005).
R. N. Lee, A. I. Milstein, and V. G. Serbo, Phys. Rev. A 65, 022102 (2002).
R. N. Lee, A. I. Milstein, and V. M. Strakhovenko, Phys. Rev. A 69, 022708 (2004).
R. N. Lee, A. I. Milstein, V. M. Strakhovenko, and O. Ya. Schwartz, Zh. Éksp. Teor. Fiz. 127, 5 (2005) [JETP 100, 1 (2005)].
K. Hencken, D. Trautmann, and G. Baur, Phys. Rev. C 59, 841 (1999).
A. Alscher, K. Hencken, D. Trautmann, and G. Baur, Phys. Rev. A 55, 396 (1997).
Author information
Authors and Affiliations
Additional information
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063776107030077