2004
DOI: 10.1103/physreva.69.022708
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High-energy expansion of Coulomb corrections to thee+ephotoproduction cross section

Abstract: First correction to the high-energy asymptotics of the total e + e − photoproduction cross section in the electric field of a heavy atom is derived with the exact account of this field. The consideration is based on the use of the quasiclassical electron Green function in an external electric field. The next-to-leading correction to the cross section is discussed. The influence of screening on the Coulomb corrections is examined in the leading approximation. It turns out that the high-energy asymptotics of the… Show more

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Cited by 30 publications
(12 citation statements)
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(31 reference statements)
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“…This was convincingly demonstrated in the case of photon scattering by a Coulomb field, the so-called Delbrück scattering [2,3], and for Coulomb field-induced photon splitting [4,5]. The cross section of the Bethe-Heitler process exact in Zα has also been extensively studied [6][7][8][9] as has the process of e + -e − production in heavy ion collisions [10,11]. Strong electromagnetic fields are also produced in the laboratory by powerful lasers.…”
Section: Introductionmentioning
confidence: 92%
“…This was convincingly demonstrated in the case of photon scattering by a Coulomb field, the so-called Delbrück scattering [2,3], and for Coulomb field-induced photon splitting [4,5]. The cross section of the Bethe-Heitler process exact in Zα has also been extensively studied [6][7][8][9] as has the process of e + -e − production in heavy ion collisions [10,11]. Strong electromagnetic fields are also produced in the laboratory by powerful lasers.…”
Section: Introductionmentioning
confidence: 92%
“…Then, following three studies of intermediate-energy pair cross sections for selected heavy elements using distorted wave Born approximation (DWBA) by Sud and Sharma (1987), Wright et al (1987) and Sud andSoto Vargas (1991, 1994), Selvaraju et al (2001) used DWBA to compute and tabulate differential (in positron energy) and total k n values for six elements H to U over the intermediate photon energy range 5.0-10.0 MeV. Attention is called also to the work of Lee et al (2004) in this same energy region, in which screening effects on the Coulomb correction are examined using a next-order expansion in inverse energy, and some results presented.…”
Section: Some Further Theoretical Work Beyond Hgø (1980)mentioning
confidence: 99%
“…In the Coulomb case Bethe and Maximon (1954) obtained the high energy limit for all Z, using Sommerfeld-Maue wave functions, and the screening modifications of the high energy limit were also later obtained. [We note that in a very recent paper Lee et al (2004) have obtained 1/energy corrections to this high energy result in the Coulomb case, which they found useful as low as 10 MeV. ]…”
Section: Previous Workmentioning
confidence: 91%