Abstract
The integrated cross sections of e+e– pair electroproduction by an ultrarelativistic electron in an atomic field are studied. The importance of various contributions to the integrated cross sections is discussed. The Coulomb corrections have turned out to make a large contribution to both differential and integrated cross sections even at moderate values of the nuclear charge number. The interaction of the electron emitting a virtual photon with the atomic field is shown to contribute significantly to the cross sections differential with respect to the electron transverse momentum. However, this interaction affects only slightly the cross section differential only with respect to the positron transverse momentum.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. Bhabha, Proc. R. Soc. London, Ser. A 152, 559 (1935).
G. Racah, Nuovo Cim. 4, 112 (1937).
M. M. Block, D. T. King, and M. Wada, Phys. Rev. 96, 1627 (1954).
T. Murota, A. Veda, and H. Tanaka, Progr. Theor. Phys. (Kyoto) 16, 482 (1956).
E. G. Johnson, Phys. Rev. 140, 1005 (1965).
S. Brodsky and S. Ting, Phys. Rev. 145, 1018 (1966).
J. D. Bjorken and M. Chen, Phys. Rev. 154, 1335 (1967).
R. Henry, Phys. Rev. 154, 1534 (1967).
S. Homma, A. Itano, K. Nishikawa, and M. Hayashi, Proc. Phys. Soc. Jpn. 3, 1230 (1974).
P. A. Krachkov and A. I. Milstein, Phys. Rev. A 93, 062120 (2016).
A. I. Nikishov and N. V. Pichkurov, Sov. J. Nucl. Phys. 35, 561 (1982).
D. Yu. Ivanov, E. A. Kuraev, A. Schiller, and V. G. Serbo, Phys. Lett. B 442, 453 (1998).
B. Segev and J. C. Wells, Phys. Rev. A 57, 1849 (1998).
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).
R. N. Lee and A. I. Milstein, Phys. Rev. A 61, 032103 (2000).
P. A. Krachkov and A. I. Milstein, Phys. Lett. B 771, 5 (2017).
P. A. Krachkov, R. N. Lee, and A. I. Milstein, Phys. Usp. 59, 619 (2016).
R. N. Lee and A. I. Milstein, J. Exp. Theor. Phys. 109, 968 (2009).
R. N. Lee, A. I. Milstein, V. M. Strakhovenko, and O. Ya. Schwarz, J. Exp. Theor. Phys. 100, 1 (2005).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © P.A. Krachkov, A.I. Milstein, 2018, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2018, Vol. 153, No. 3, pp. 394–400.
Rights and permissions
About this article
Cite this article
Krachkov, P.A., Milstein, A.I. Integrated Cross Sections of High-Energy e+e– Pair Electroproduction by an Electron in an Atomic Field. J. Exp. Theor. Phys. 126, 326–332 (2018). https://doi.org/10.1134/S1063776118030044
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776118030044