Coulomb corrections to the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mi>−</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>pair production in ultrarelativistic heavy-ion collisions

Lee, Roman N.; Milstein, A. I.

doi:10.1103/physreva.61.032103

Cited by 53 publications

(64 citation statements)

References 11 publications

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“…(11). The analysis performed shows that the main contribution to the term under discussion originates from the region ρ ∼ 1/m and θ, ψ ∼ m/ε ≪ 1, where θ is the angle between the vectors…”

Section: Next-to-leading Terms In the Bremsstrahlung Spectrummentioning

confidence: 99%

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Coulomb corrections to bremsstrahlung in the electric field of a heavy atom at high energies

Lee

Milstein

Strakhovenko

et al. 2005

J. Exp. Theor. Phys.

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The differential and partially integrated cross sections are considered for bremsstrahlung from high-energy electrons in atomic field with the exact account of this field. The consideration exploits the quasiclassical electron Green's function and wave functions in an external electric field. It is shown that the Coulomb corrections to the differential cross section are very susceptible to screening. Nevertheless, the Coulomb corrections to the cross section summed up over the final-electron states are independent of screening in the leading approximation over a small parameter 1/mrscr (rscr is a screening radius, m is the electron mass, = c = 1). Bremsstrahlung from an electron beam of the finite size on heavy nucleus is considered as well. Again, the Coulomb corrections to the differential probability are very susceptible to the beam shape, while those to the probability integrated over momentum transfer are independent of it, apart from the trivial factor, which is the electron-beam density at zero impact parameter. For the Coulomb corrections to the bremsstrahlung spectrum, the next-to-leading terms with respect to the parameters m/ε (ε is the electron energy) and 1/mrscr are obtained.

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Section: Next-to-leading Terms In the Bremsstrahlung Spectrummentioning

confidence: 99%

“…The quantity dW C is given by the right-hand side of formula (18) where the functions A(∆) and A B (∆) are given by Eq. (11) and Eq. (16) with the additional factor φ(ρ) in the integrands.…”

Section: Beam-size Effect On CCmentioning

confidence: 99%

Coulomb corrections to bremsstrahlung in the electric field of a heavy atom at high energies

Lee

Milstein

Strakhovenko

et al. 2005

J. Exp. Theor. Phys.

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“…It is therefore mandatory to understand the correct interpretation of the results obtained from 'infinite γ' calculations and their implications on real electromagnetic processes, as it was suggested in the work of Lee and Milstein [13] where they have shown that Coulomb corrections can be obtained by the correct regularization of matrix elements.…”

Section: Introductionmentioning

confidence: 99%

Electron–positron pair production in the external electromagnetic field of colliding relativistic heavy ions

et al. 2002

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Abstract.The results concerning the e + e − production in peripheral highly relativistic heavy-ion collisions presented in a recent paper by Baltz et al. are rederived in a very straightforward manner. It is shown that the solution of the Dirac equation directly leads to the multiplicity, i.e. to the total number of electronpositron pairs produced by the electromagnetic field of the ions, whereas the calculation of the single pair production probability is much more involved. A critical observation concerns the unsolved problem of seemingly absent Coulomb corrections (Bethe-Maximon corrections) in pair production cross sections. It is shown that neither the inclusion of the vacuum-vacuum amplitude nor the correct interpretation of the solution of the Dirac equation concerning the pair multiplicity is able the explain (from a fundamental point of view) the absence of Coulomb corrections. Therefore the contradiction has to be accounted to the treatment of the high energy limit.

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“…At present, there is a lot of controversy in papers devoted to this subject (the corresponding references and critical remarks can be found in [4,5,6]). Although some of the corrections were obtained correctly in some special cases, the whole consistent picture of pair production is absent.…”

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Structure of the Coulomb and unitarity corrections to the cross section ofe+e−pair production in ultrarelativistic nuclear collisions

2002

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We analyze the structure of the Coulomb and unitarity corrections to the single e + e − pair production as well as the cross section σ n for the multiple pair production in collision of ultrarelativistic nuclei. In the external field approximation we consider the probability of one pair production at fixed impact parameter ρ between colliding nuclei. We obtain the analytical result for this probability at large ρ as compared to the electron Compton wavelength. The energy dependence of this probability as well as that of σ n differ essentially from widely cited but incorrect results. We estimate also the unitary corrections to the total cross section of the process.

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Coulomb corrections to thee+e−pair production in ultrarelativistic heavy-ion collisions

Cited by 53 publications

References 11 publications

Coulomb corrections to bremsstrahlung in the electric field of a heavy atom at high energies

Coulomb corrections to bremsstrahlung in the electric field of a heavy atom at high energies

Electron–positron pair production in the external electromagnetic field of colliding relativistic heavy ions

Structure of the Coulomb and unitarity corrections to the cross section ofe+e−pair production in ultrarelativistic nuclear collisions

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