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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.
в: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Том 848, 138408, 01.2024.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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