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 Ð²ÑÑÐ¾ÐºÐ¾ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐ½ÑÐ¼ Ð³Ð°Ð¼Ð¼Ð°-ÐºÐ²Ð°Ð½ÑÐ¾Ð¼ Ð² Ð¿Ð¾Ð»Ðµ ÑÐ´ÑÐ° Ð¸ ÑÐ»Ð°Ð±Ð¾Ð¹ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ Ð²Ð¾Ð»Ð½Ñ
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 generation of ultrarelativistic electron-positron pairs by a high-energy gamma quantum in the field of the nucleus and a weak electromagnetic wave
Creators: name: ÐÐ°ÑÐ¸Ð½, ÐÐ¸ÐºÐ¸ÑÐ°
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: ÑÐµÐ·Ð¾Ð½Ð°Ð½Ñ
Ð²Ð½ÐµÑÐ½ÐµÐµ Ð¿Ð¾Ð»Ðµ
ÑÐ»ÐµÐºÑÑÐ¾Ð½-Ð¿Ð¾Ð·Ð¸ÑÑÐ¾Ð½Ð½Ð°Ñ Ð¿Ð°ÑÐ°
Ð³Ð°Ð¼Ð¼Ð° ÐºÐ²Ð°Ð½Ñ
Resonance
external field
electron-positron pair
gamma quantum

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸Ð·ÑÑÐµÐ½Ð¸Ñ ÑÐµÐ·Ð¾Ð½Ð°Ð½ÑÐ½Ð¾Ð³Ð¾ ÑÐ¾ÑÐ¾ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð½-Ð¿Ð¾Ð·Ð¸ÑÑÐ¾Ð½Ð½ÑÑ Ð¿Ð°ÑÑ Ð½Ð° ÑÐ´ÑÐµ Ð² Ð¿Ð¾Ð»Ðµ Ð¿Ð»Ð¾ÑÐºÐ¾Ð¹ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ Ð²Ð¾Ð»Ð½Ñ. ÐÐµÑÑ ÑÐ°ÑÑÐµÑ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸ÑÑÑÑ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¤Ð°ÑÑÐ¸, Ñ Ð¿Ð¾Ð¼Ð¾-ÑÑÑ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ Ð¼Ð¾Ð¶Ð½Ð¾ ÑÐ¾ÑÐ½Ð¾ ÑÑÐµÑÑÑ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ðµ ÐºÐ²Ð°Ð½ÑÐ¾Ð²ÑÑ ÑÐ°ÑÑÐ¸Ñ Ñ Ð²Ð½ÐµÑÐ½Ð¸Ð¼ ÐºÐ»Ð°ÑÑÐ¸ÑÐµÑÐºÐ¸Ð¼ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÐ¼ Ð¿Ð¾Ð»ÐµÐ¼. Ð ÑÐ¾Ð¶Ðµ Ð²ÑÐµÐ¼Ñ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ðµ Ñ ÐºÑÐ»Ð¾Ð½Ð¾Ð²ÑÐºÐ¸Ð¼ Ð¿Ð¾ÑÐµÐ½ÑÐ¸Ð°Ð»Ð¾Ð¼ ÑÐ´ÑÐ° ÑÑÐ¸ÑÑÐ²Ð°ÐµÑÑÑ Ð² Ð±Ð¾ÑÐ½Ð¾Ð²ÑÐºÐ¾Ð¼ Ð¿ÑÐ¸Ð±Ð»Ð¸Ð¶ÐµÐ½Ð¸Ð¸. Ð ÑÐ°Ð¼ÐºÐ°Ñ Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ»Ð° Ð´ÐµÑÐ°Ð»ÑÐ½Ð¾ Ð¸Ð·ÑÑÐµÐ½Ð° ÑÐµÐ·Ð¾Ð½Ð°Ð½ÑÐ½Ð°Ñ ÐºÐ¸Ð½ÐµÐ¼Ð°ÑÐ¸ÐºÐ° Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÑÑÐ¸Ðµ Ð°Ð¼Ð¿Ð»Ð¸ÑÑÐ´Ñ Ð¸ ÑÐµÐ·Ð¾Ð½Ð°Ð½ÑÐ½ÑÐµ Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½ÑÐµ ÑÐµÑÐµÐ½Ð¸Ñ Ð´Ð»Ñ Ð¾Ð±Ð¾Ð¸Ñ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½ÑÑ ÐºÐ°Ð½Ð°Ð»Ð¾Ð², Ð·Ð½Ð°ÑÐµÐ½Ð¸Ðµ ÐºÐ¾ÑÐ¾ÑÑÑ ÑÑÑÐµÑÑÐ²ÐµÐ½Ð½Ð¾ Ð¿ÑÐµÐ²ÑÑÐ°ÐµÑ Ð²ÐµÐ»Ð¸ÑÐ¸Ð½Ñ Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ ÑÐ¾ÑÐ¾-ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð¿Ð°ÑÑ Ð½Ð° ÑÐ´ÑÐµ Ð² Ð¾ÑÑÑÑÑÑÐ²Ð¸Ðµ Ð²Ð½ÐµÑÐ½ÐµÐ³Ð¾ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ. ÐÐ·ÑÑÐµÐ½Ð¸Ðµ Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÑÐµÑ Ð¿Ð¾Ð²ÑÑÐµÐ½Ð½ÑÐ¹ Ð¸Ð½ÑÐµÑÐµÑ, ÑÐ²ÑÐ·Ð°Ð½Ð½ÑÐ¹ Ñ Ð¸Ð½ÑÐµÐ½ÑÐ¸Ð²Ð½ÑÐ¼ ÑÐ°Ð·Ð²Ð¸ÑÐ¸ÐµÐ¼ Ð»Ð°Ð·ÐµÑÐ½ÑÑ ÑÑÑÐ°Ð½Ð¾Ð²Ð¾Ðº Ð¸ Ð»Ð¸Ð½ÐµÐ¹Ð½ÑÑ ÑÑÐºÐ¾ÑÐ¸ÑÐµÐ»ÐµÐ¹. ÐÐ¾Ð»ÐµÐµ ÑÐ¾Ð³Ð¾, Ð¸Ð·ÑÑÐµÐ½Ð¸Ðµ ÐºÐ²Ð°Ð½ÑÐ¾Ð²Ð¾Ð¹ ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸ Ð²Ð¾ Ð²Ð½ÐµÑÐ½ÐµÐ¼ Ð¿Ð¾Ð»Ðµ Ð¿Ð¾Ð¼Ð¾Ð³Ð°ÐµÑ Ð´Ðµ-ÑÐ°Ð»ÑÐ½Ð¾ Ð¿Ð¾Ð½ÑÑÑ Ð¿ÑÐ¾ÑÐµÑÑÑ Ð¿ÑÐ¾ÑÐµÐºÐ°ÑÑÐ¸Ðµ Ð² Ð±Ð»Ð¸Ð·Ð¸ Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐ¸ ÑÐ°ÐºÐ¸Ñ Ð°ÑÑÑÐ¾Ð½Ð¾-Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ Ð¾Ð±ÑÐµÐºÑÐ¾Ð², ÐºÐ°Ðº Ð¿ÑÐ»ÑÑÐ°ÑÑ Ð¸ Ð¼Ð°Ð³Ð½ÐµÑÐ°ÑÑ. ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¾Ð±Ð»Ð°Ð´Ð°ÑÑ Ð½Ð¾Ð²Ð¸Ð·Ð½Ð¾Ð¹ Ð¸ Ð¾ÑÐºÑÑÐ²Ð°ÑÑ Ð½Ð¾Ð²ÑÐµ Ð°ÐºÑÑÐ°Ð»ÑÐ½ÑÐµ Ð²Ð¾Ð¿ÑÐ¾ÑÑ Ð´Ð»Ñ Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐµÐ³Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ.
description: Present work devoted to the research of the resonant photoproduction of electron-positron pair on a nucleus in the field of a plane electromagnetic wave. All calculations are carried out within Furry picture which allows us to fully take into account the interaction of quantum particles with the classical external electromagnetic field. At the same time, we treat the interaction with the CoulÐ¾mb potential of a nucleus in the Born approximation. The resonant kinematics was studied in details. We derived the expressions for amplitudes and resonant differential cross section for both possible channels. The magnitudes of the corresponding cross sections significantly exceed the value of a differential cross section of electron-positron pair photoproduction in absence of the external electromagnetic field. The investigation of the considered process is of great interest due to the rapid development of facilities of intense laser radiation and linear accelerators. Moreover, the study of quantum electrodynamics in the external field helps to understand better the processes, which take place near the surface of astronomical objects such as pulsars and magnetars. The obtained results are novel and open up new relevant questions for further investigations.