Resonant Effect for Breit–Wheeler Process in the Field of an X-ray Pulsar

The resonant process of the creation of an ultrarelativistic electron–positron pair by two hard gamma quanta in the field of an X-ray pulsar (the Breit–Wheeler process modified by an external field) was theoretically studied. Under resonance conditions, the intermediate virtual electron (positron) i...

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Main Authors: Vitalii D. Serov, Sergei P. Roshchupkin, Victor V. Dubov
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/6/11/190
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author Vitalii D. Serov
Sergei P. Roshchupkin
Victor V. Dubov
author_facet Vitalii D. Serov
Sergei P. Roshchupkin
Victor V. Dubov
author_sort Vitalii D. Serov
collection DOAJ
description The resonant process of the creation of an ultrarelativistic electron–positron pair by two hard gamma quanta in the field of an X-ray pulsar (the Breit–Wheeler process modified by an external field) was theoretically studied. Under resonance conditions, the intermediate virtual electron (positron) in the external field becomes a real particle. As a result, there are four reaction channels for the process instead of two. For each of those channels, the initial process of the second order in the fine structure constant in the field of an X-ray pulsar effectively reduces into two successive processes of the first order: X-ray-stimulated Breit–Wheeler process and X-ray-stimulated Compton effect. The resonant kinematics of the process was also studied in detail. The process had characteristic threshold energy, and all initial and final particles had to be ultrarelativistic and propagate in a narrow cone. Furthermore, the resonant energy spectrum of the electron-positron pair significantly depended on emission angles. Clearly, there was a qualitative difference between resonant and nonresonant cases. Lastly, the resonant differential probability of studied process was obtained. The resonant differential probability significantly exceeded the nonresonant one without the external field of an X-ray pulsar.
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spelling doaj.art-9b4b5afc9ca041678113d5af0cff36302023-11-20T18:03:33ZengMDPI AGUniverse2218-19972020-10-0161119010.3390/universe6110190Resonant Effect for Breit–Wheeler Process in the Field of an X-ray PulsarVitalii D. Serov0Sergei P. Roshchupkin1Victor V. Dubov2Department of Theoretical Physics, Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya 29, 195251 Saint Petersburg, RussiaDepartment of Theoretical Physics, Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya 29, 195251 Saint Petersburg, RussiaDepartment of Theoretical Physics, Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya 29, 195251 Saint Petersburg, RussiaThe resonant process of the creation of an ultrarelativistic electron–positron pair by two hard gamma quanta in the field of an X-ray pulsar (the Breit–Wheeler process modified by an external field) was theoretically studied. Under resonance conditions, the intermediate virtual electron (positron) in the external field becomes a real particle. As a result, there are four reaction channels for the process instead of two. For each of those channels, the initial process of the second order in the fine structure constant in the field of an X-ray pulsar effectively reduces into two successive processes of the first order: X-ray-stimulated Breit–Wheeler process and X-ray-stimulated Compton effect. The resonant kinematics of the process was also studied in detail. The process had characteristic threshold energy, and all initial and final particles had to be ultrarelativistic and propagate in a narrow cone. Furthermore, the resonant energy spectrum of the electron-positron pair significantly depended on emission angles. Clearly, there was a qualitative difference between resonant and nonresonant cases. Lastly, the resonant differential probability of studied process was obtained. The resonant differential probability significantly exceeded the nonresonant one without the external field of an X-ray pulsar.https://www.mdpi.com/2218-1997/6/11/190external field QEDOleinik’s resonancesBreit–Wheeler processX-ray pulsars
spellingShingle Vitalii D. Serov
Sergei P. Roshchupkin
Victor V. Dubov
Resonant Effect for Breit–Wheeler Process in the Field of an X-ray Pulsar
Universe
external field QED
Oleinik’s resonances
Breit–Wheeler process
X-ray pulsars
title Resonant Effect for Breit–Wheeler Process in the Field of an X-ray Pulsar
title_full Resonant Effect for Breit–Wheeler Process in the Field of an X-ray Pulsar
title_fullStr Resonant Effect for Breit–Wheeler Process in the Field of an X-ray Pulsar
title_full_unstemmed Resonant Effect for Breit–Wheeler Process in the Field of an X-ray Pulsar
title_short Resonant Effect for Breit–Wheeler Process in the Field of an X-ray Pulsar
title_sort resonant effect for breit wheeler process in the field of an x ray pulsar
topic external field QED
Oleinik’s resonances
Breit–Wheeler process
X-ray pulsars
url https://www.mdpi.com/2218-1997/6/11/190
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AT sergeiproshchupkin resonanteffectforbreitwheelerprocessinthefieldofanxraypulsar
AT victorvdubov resonanteffectforbreitwheelerprocessinthefieldofanxraypulsar