Resonant Production of an Ultrarelativistic Electron–Positron Pair at the Gamma Quantum Scattering by a Field of the X-ray Pulsar
The process of a resonant production of an ultrarelativistic electron–positron pair in the process of gamma-quantum scattering in the X-ray field of a pulsar is theoretically studied. This process has two reaction channels. Under resonant conditions, an intermediate electron (for a channel A) or a p...
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| author | Vadim A. Yelatontsev Sergei P. Roshchupkin Viktor V. Dubov |
| author_facet | Vadim A. Yelatontsev Sergei P. Roshchupkin Viktor V. Dubov |
| author_sort | Vadim A. Yelatontsev |
| collection | DOAJ |
| description | The process of a resonant production of an ultrarelativistic electron–positron pair in the process of gamma-quantum scattering in the X-ray field of a pulsar is theoretically studied. This process has two reaction channels. Under resonant conditions, an intermediate electron (for a channel A) or a positron (for a channel B) enters the mass shell. As a result, the initial second-order process of the fine-structure constant in the X-ray field effectively splits into two first-order processes: the X-ray field-stimulated Breit–Wheeler process and the the X-ray field-stimulated Compton effect on an intermediate electron or a positron. The resonant kinematics of the process is studied in detail. It is shown that for the initial gamma quantum there is a threshold energy, which for the X-ray photon energy (1–<inline-formula><math display="inline"><semantics><msup><mn>10</mn><mn>2</mn></msup></semantics></math></inline-formula>) keV has the order of magnitude (<inline-formula><math display="inline"><semantics><msup><mn>10</mn><mn>3</mn></msup></semantics></math></inline-formula>–10) MeV. In this case, all the final particles (electron, positron, and final gamma quantum) fly in a narrow cone along the direction of the initial gamma quantum momentum. It is important to note that the energies of the electron–positron pair and the final gamma quantum depend significantly on their outgoing angles. The obtained resonant probability significantly exceeds the non-resonant one. The obtained results can be used to explain the spectrum of positrons near pulsars. |
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| id | doaj.art-1f8479c3aeb14ce884fa6d402d04fbf1 |
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| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-10T15:54:38Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-1f8479c3aeb14ce884fa6d402d04fbf12023-11-20T15:45:34ZengMDPI AGUniverse2218-19972020-10-0161016410.3390/universe6100164Resonant Production of an Ultrarelativistic Electron–Positron Pair at the Gamma Quantum Scattering by a Field of the X-ray PulsarVadim A. Yelatontsev0Sergei P. Roshchupkin1Viktor 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 process of a resonant production of an ultrarelativistic electron–positron pair in the process of gamma-quantum scattering in the X-ray field of a pulsar is theoretically studied. This process has two reaction channels. Under resonant conditions, an intermediate electron (for a channel A) or a positron (for a channel B) enters the mass shell. As a result, the initial second-order process of the fine-structure constant in the X-ray field effectively splits into two first-order processes: the X-ray field-stimulated Breit–Wheeler process and the the X-ray field-stimulated Compton effect on an intermediate electron or a positron. The resonant kinematics of the process is studied in detail. It is shown that for the initial gamma quantum there is a threshold energy, which for the X-ray photon energy (1–<inline-formula><math display="inline"><semantics><msup><mn>10</mn><mn>2</mn></msup></semantics></math></inline-formula>) keV has the order of magnitude (<inline-formula><math display="inline"><semantics><msup><mn>10</mn><mn>3</mn></msup></semantics></math></inline-formula>–10) MeV. In this case, all the final particles (electron, positron, and final gamma quantum) fly in a narrow cone along the direction of the initial gamma quantum momentum. It is important to note that the energies of the electron–positron pair and the final gamma quantum depend significantly on their outgoing angles. The obtained resonant probability significantly exceeds the non-resonant one. The obtained results can be used to explain the spectrum of positrons near pulsars.https://www.mdpi.com/2218-1997/6/10/164QEDX-ray pulsargamma-quantumresonant productionexternal X-ray fieldelectron–positron pair |
| spellingShingle | Vadim A. Yelatontsev Sergei P. Roshchupkin Viktor V. Dubov Resonant Production of an Ultrarelativistic Electron–Positron Pair at the Gamma Quantum Scattering by a Field of the X-ray Pulsar Universe QED X-ray pulsar gamma-quantum resonant production external X-ray field electron–positron pair |
| title | Resonant Production of an Ultrarelativistic Electron–Positron Pair at the Gamma Quantum Scattering by a Field of the X-ray Pulsar |
| title_full | Resonant Production of an Ultrarelativistic Electron–Positron Pair at the Gamma Quantum Scattering by a Field of the X-ray Pulsar |
| title_fullStr | Resonant Production of an Ultrarelativistic Electron–Positron Pair at the Gamma Quantum Scattering by a Field of the X-ray Pulsar |
| title_full_unstemmed | Resonant Production of an Ultrarelativistic Electron–Positron Pair at the Gamma Quantum Scattering by a Field of the X-ray Pulsar |
| title_short | Resonant Production of an Ultrarelativistic Electron–Positron Pair at the Gamma Quantum Scattering by a Field of the X-ray Pulsar |
| title_sort | resonant production of an ultrarelativistic electron positron pair at the gamma quantum scattering by a field of the x ray pulsar |
| topic | QED X-ray pulsar gamma-quantum resonant production external X-ray field electron–positron pair |
| url | https://www.mdpi.com/2218-1997/6/10/164 |
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