title: Ð ÐµÐ·Ð¾Ð½Ð°Ð½ÑÐ½Ð¾Ðµ ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ðµ ÑÐ»ÑÑÑÐ°ÑÐµÐ»ÑÑÐ¸Ð²Ð¸ÑÑÑÐºÐ¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð½-Ð¿Ð¾Ð·Ð¸ÑÑÐ¾Ð½Ð½ÑÑ Ð¿Ð°Ñ Ð¿ÑÐ¸ Ð°Ð½Ð½Ð¸Ð³Ð¸Ð»ÑÑÐ¸Ð¸ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½Ð¾Ð¹ Ð¿Ð°ÑÑ Ð² ÑÐ»Ð°Ð±Ð¾Ð¼ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¼ Ð¿Ð¾Ð»Ðµ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Resonant ultrarelativistic electron-positron pair production in electron pair annihilation in the field of weak electromagnetic field
Creators: name: ÐÐ¾ÑÐ¾ÑÐµÐ½ÐºÐ¾, ÐÐ¼Ð¸ÑÑÐ¸Ð¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: Ð°Ð½Ð½Ð¸Ð³Ð¸Ð»ÑÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð°Ð¼Ð¿Ð»Ð¸ÑÑÐ´Ð°
Ð²Ð¸ÑÑÑÐ°Ð»ÑÐ½Ð°Ñ ÑÐ°ÑÑÐ¸ÑÐ°
Ð»Ð°Ð·ÐµÑÐ½Ð¾Ðµ Ð¿Ð¾Ð»Ðµ
ÑÐ»ÐµÐºÑÑÐ¾Ð½
Ð¿Ð¾Ð·Ð¸ÑÑÐ¾Ð½
Ð¿ÑÐ¾Ð¿Ð°Ð³Ð°ÑÐ¾Ñ
ÑÐµÐ·Ð¾Ð½Ð°Ð½Ñ
ÑÐµÐ·Ð¾Ð½Ð°Ð½Ñ Ð¾Ð»ÐµÐ¹Ð½Ð¸ÐºÐ°
ÑÐµÑÐµÐ½Ð¸Ðµ
ÑÑÐ½ÐºÑÐ¸Ñ ÐÐ¾Ð»ÐºÐ¾Ð²Ð°
annihilation amplitude
virtual particle
laser field
electron
positron
propagator
resonance
Oleinik's resonance
cross section
Volkov function

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description: This work contains theoretical study of resonant ultrarelativistic electron-positron pair production in electron pair annihilation in the field of weak electromagnetic field process. Field is considered classical. The amplitude of process for arbitrary intensity and polarization is received. It is shown that the resonance take place only at ultra-relativistic energies of electron-pair, small angle between electron and positron andwhen certain combination of initial electron and positron energies excess the threshold energy. It is found that there are from one to two energies of final electron (positron)for each fixed emission angle of final positron. Resonant amplitude of ultrarelativistic electron-positron pair production in electron pair annihilation in thefield of weak electromagnetic field of circular polarization is received. Study of this process is of great interest because the resonant cross section in the weak field may significantly exceed corresponding cross section without field (Bhabha cross section).