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Total Born cross section of e+e−-pair production by an electron in the Coulomb field of a nucleus. / Lee, Roman N.; Lyubyakin, Alexey A.; Smirnov, Vladimir A.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 848, 138408, 01.2024.

Research output: Contribution to journal › Article › peer-review

Harvard

Lee, RN, Lyubyakin, AA & Smirnov, VA 2024, 'Total Born cross section of e+e−-pair production by an electron in the Coulomb field of a nucleus', Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 848, 138408. https://doi.org/10.1016/j.physletb.2023.138408

APA

Lee, R. N., Lyubyakin, A. A., & Smirnov, V. A. (2024). Total Born cross section of e+e−-pair production by an electron in the Coulomb field of a nucleus. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 848, [138408]. https://doi.org/10.1016/j.physletb.2023.138408

Vancouver

Lee RN, Lyubyakin AA, Smirnov VA. Total Born cross section of e+e−-pair production by an electron in the Coulomb field of a nucleus. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2024 Jan;848:138408. doi: 10.1016/j.physletb.2023.138408

Author

Lee, Roman N. ; Lyubyakin, Alexey A. ; Smirnov, Vladimir A. / Total Born cross section of e+e−-pair production by an electron in the Coulomb field of a nucleus. In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2024 ; Vol. 848.

BibTeX

@article{e0e21aa1e1ea44deb485b197c2052842,
title = "Total Born cross section of e+e−-pair production by an electron in the Coulomb field of a nucleus",
abstract = "We calculate the total Born cross section of the e+e−-pair production by an electron in the field of a nucleus (trident process) using the modern multiloop methods. For general energies we obtain the cross section in terms of converging power series. The threshold asymptotics and the high-energy asymptotics are obtained analytically. In particular, we obtain an additional contribution to the Racah formula due to the identity of the final electrons. Besides, our result for the leading term of the high-energy asymptotics reveals a typo in an old Racah paper.",
author = "Lee, {Roman N.} and Lyubyakin, {Alexey A.} and Smirnov, {Vladimir A.}",
note = "We are grateful to V. Fadin for useful discussions and interest to the work. The work of R.L. and A.L. was supported by the Russian Science Foundation , grant number 20-12-00205 . The work of V.S. was supported by the Ministry of Education and Science of the Russian Federation as part of the program of the Moscow Center for Fundamental and Applied Mathematics under Agreement No. 075-15-2022-284 .",
year = "2024",
month = jan,
doi = "10.1016/j.physletb.2023.138408",
language = "English",
volume = "848",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Total Born cross section of e+e−-pair production by an electron in the Coulomb field of a nucleus

AU - Lee, Roman N.

AU - Lyubyakin, Alexey A.

AU - Smirnov, Vladimir A.

N1 - We are grateful to V. Fadin for useful discussions and interest to the work. The work of R.L. and A.L. was supported by the Russian Science Foundation , grant number 20-12-00205 . The work of V.S. was supported by the Ministry of Education and Science of the Russian Federation as part of the program of the Moscow Center for Fundamental and Applied Mathematics under Agreement No. 075-15-2022-284 .

PY - 2024/1

Y1 - 2024/1

N2 - We calculate the total Born cross section of the e+e−-pair production by an electron in the field of a nucleus (trident process) using the modern multiloop methods. For general energies we obtain the cross section in terms of converging power series. The threshold asymptotics and the high-energy asymptotics are obtained analytically. In particular, we obtain an additional contribution to the Racah formula due to the identity of the final electrons. Besides, our result for the leading term of the high-energy asymptotics reveals a typo in an old Racah paper.

AB - We calculate the total Born cross section of the e+e−-pair production by an electron in the field of a nucleus (trident process) using the modern multiloop methods. For general energies we obtain the cross section in terms of converging power series. The threshold asymptotics and the high-energy asymptotics are obtained analytically. In particular, we obtain an additional contribution to the Racah formula due to the identity of the final electrons. Besides, our result for the leading term of the high-energy asymptotics reveals a typo in an old Racah paper.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85180611243&origin=inward&txGid=685d097f95fe4dea494e255e3da0684c

UR - https://www.mendeley.com/catalogue/2ba10841-f9ee-3cf3-b310-ccb273c5a0ce/

U2 - 10.1016/j.physletb.2023.138408

DO - 10.1016/j.physletb.2023.138408

M3 - Article

VL - 848

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

M1 - 138408

ER -

ID: 60402517