Nuclear Science

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Leptonic Pair Production in Electro Magnetic Field

Received: 22 May 2022    Accepted: 15 June 2022    Published: 27 June 2022
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Abstract

At very high energies, the pair production formation through (Photon with Nucleus produce Leptons and Anti-Leptons) exhibits a variety of intriguing properties. Our present objective was to study the electromagnetic fields (DCS) of sulfur nuclei and their effects on high energy lepton pair production. Analytically and quantitatively, the formation of Leptonic pairs in the Electromagnetic field of light (sulfur) nuclei was calculated by the Beth-Hitler equation for the leptonic pair production process. In Ultra-Relativistic (UR) areas of incident photon energy, applying the resulting formulas to the energy distribution of the leptonic pair production process. When we compare the results, we can observe that the Magnetic field of the target nucleus is more efficacious than the Electric field of the nucleus in the leptonic pair production process. Furthermore, we can show that in Pair Production process, the Differential Cross Section (DCS) owing to the target nucleus's Electric Quadrupole (EQ) and Magnetic Octupole (MO) are bigger than the Differential Cross Section (DCS) attributable to the target nucleus's Electric Charge (EC) distribution and Magnetic Dipole (MD). A lighter-mass nucleus is more effective than a higher-mass nucleus. From this, we conclude that the lower the mass number, the better the production of the pair.

DOI 10.11648/j.ns.20220702.12
Published in Nuclear Science (Volume 7, Issue 2, June 2022)
Page(s) 34-38
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Pair Production, Positron, Differential Cross Section, The Bethe-Hitler Equation

References
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[2] Zettili, N, (2009). Quantum Mechanics Concepts and Applications, John Willy& Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, United Kingdom, (2nd.ed.).
[3] Zhu, W. (2020). Improved Bethe-Heitler formula. Nuclear Physics B, 953, 114958.
[4] ‏Anderson, C. D., & Neddermeyer, S. H. (1936). Cloud chamber observations of cosmic rays at 4300 meters elevation and near sea-level. Physical Review, 50 (4), 263.
[5] ‏Griffiths, D. (2008). Introduction to Elementary particles. 2. enl. and rev.‏
[6] Nishina Y., Tomonaga S., Sakata S. (1934): (1934): On the photoelectric creation of positive and negative electrons, J. Inst. Phys. Chem. Res. (Tokyo), 24: 1.
[7] Bethe H. and W. Heitler (1934): On the Stopping of Fast Particles and on the Creation of Positive Electrons, Proc. R. Soc. (London), A46: 83.
[8] Jaeger J. and H. Hulme (1936): On the production of electron pairs, Proc. R. Soc. (London), A153: 443.
[9] Hubbell J. (2006): Electron-positron pair production by photons; A historical overview, J. Rad. Phys. Chem., 75: 614.
[10] Hubbell J. and Seltzer S. (2004): Cross section data for electron-positron pair production by photons: A status report, Nucl. Istr. And Meth. In Phys. Res., 213: 1.
[11] Alkhateeb S. Effect of nuclear magnetic distribution on the photon production of longitudinally polarized lepton-pairs in the field of Na1123 and Al1327 nuclei. Thermal Science. 2020; 24 (Suppl. 1): 139-47.
[12] Saadah Alkhateeb, (2012). The Leptonic Pair e- e+, μ- μ+, τ- τ+ Production in the Photon Interaction with Electronmagnetic Field of Light Nuclei. Journal of American Science.
[13] Gong, C., Li, Z. L., Xie, B. S., & Li, Y. J. (2020). Electron-positron pair production in frequency modulated laser fields. Physical Review D, 101 (1), 016008.‏
[14] Obraztsov, I. V., & Milstein, A. I. (2021). Quadrupole radiation and e+e- pair production in the collision of nonrelativistic nuclei. arXiv preprint arXiv: 2103.00439.
[15] Alkhateeb, S. A., Alshaery, A. A., & Aldosary, R. A. (2022). Electron-Positron Pair Production in Electro-Magnetic Field. Journal of Applied Mathematics and Physics, 10 (2), 237-244.‏
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  • APA Style

    Sadah Abdullah Alkhateeb, Aisha Abdu Alshaery, Rawan Ali Aldosary. (2022). Leptonic Pair Production in Electro Magnetic Field. Nuclear Science, 7(2), 34-38. https://doi.org/10.11648/j.ns.20220702.12

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    ACS Style

    Sadah Abdullah Alkhateeb; Aisha Abdu Alshaery; Rawan Ali Aldosary. Leptonic Pair Production in Electro Magnetic Field. Nucl. Sci. 2022, 7(2), 34-38. doi: 10.11648/j.ns.20220702.12

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    AMA Style

    Sadah Abdullah Alkhateeb, Aisha Abdu Alshaery, Rawan Ali Aldosary. Leptonic Pair Production in Electro Magnetic Field. Nucl Sci. 2022;7(2):34-38. doi: 10.11648/j.ns.20220702.12

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  • @article{10.11648/j.ns.20220702.12,
      author = {Sadah Abdullah Alkhateeb and Aisha Abdu Alshaery and Rawan Ali Aldosary},
      title = {Leptonic Pair Production in Electro Magnetic Field},
      journal = {Nuclear Science},
      volume = {7},
      number = {2},
      pages = {34-38},
      doi = {10.11648/j.ns.20220702.12},
      url = {https://doi.org/10.11648/j.ns.20220702.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ns.20220702.12},
      abstract = {At very high energies, the pair production formation through (Photon with Nucleus produce Leptons and Anti-Leptons) exhibits a variety of intriguing properties. Our present objective was to study the electromagnetic fields (DCS) of sulfur nuclei and their effects on high energy lepton pair production. Analytically and quantitatively, the formation of Leptonic pairs in the Electromagnetic field of light (sulfur) nuclei was calculated by the Beth-Hitler equation for the leptonic pair production process. In Ultra-Relativistic (UR) areas of incident photon energy, applying the resulting formulas to the energy distribution of the leptonic pair production process. When we compare the results, we can observe that the Magnetic field of the target nucleus is more efficacious than the Electric field of the nucleus in the leptonic pair production process. Furthermore, we can show that in Pair Production process, the Differential Cross Section (DCS) owing to the target nucleus's Electric Quadrupole (EQ) and Magnetic Octupole (MO) are bigger than the Differential Cross Section (DCS) attributable to the target nucleus's Electric Charge (EC) distribution and Magnetic Dipole (MD). A lighter-mass nucleus is more effective than a higher-mass nucleus. From this, we conclude that the lower the mass number, the better the production of the pair.},
     year = {2022}
    }
    

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  • TY  - JOUR
    T1  - Leptonic Pair Production in Electro Magnetic Field
    AU  - Sadah Abdullah Alkhateeb
    AU  - Aisha Abdu Alshaery
    AU  - Rawan Ali Aldosary
    Y1  - 2022/06/27
    PY  - 2022
    N1  - https://doi.org/10.11648/j.ns.20220702.12
    DO  - 10.11648/j.ns.20220702.12
    T2  - Nuclear Science
    JF  - Nuclear Science
    JO  - Nuclear Science
    SP  - 34
    EP  - 38
    PB  - Science Publishing Group
    SN  - 2640-4346
    UR  - https://doi.org/10.11648/j.ns.20220702.12
    AB  - At very high energies, the pair production formation through (Photon with Nucleus produce Leptons and Anti-Leptons) exhibits a variety of intriguing properties. Our present objective was to study the electromagnetic fields (DCS) of sulfur nuclei and their effects on high energy lepton pair production. Analytically and quantitatively, the formation of Leptonic pairs in the Electromagnetic field of light (sulfur) nuclei was calculated by the Beth-Hitler equation for the leptonic pair production process. In Ultra-Relativistic (UR) areas of incident photon energy, applying the resulting formulas to the energy distribution of the leptonic pair production process. When we compare the results, we can observe that the Magnetic field of the target nucleus is more efficacious than the Electric field of the nucleus in the leptonic pair production process. Furthermore, we can show that in Pair Production process, the Differential Cross Section (DCS) owing to the target nucleus's Electric Quadrupole (EQ) and Magnetic Octupole (MO) are bigger than the Differential Cross Section (DCS) attributable to the target nucleus's Electric Charge (EC) distribution and Magnetic Dipole (MD). A lighter-mass nucleus is more effective than a higher-mass nucleus. From this, we conclude that the lower the mass number, the better the production of the pair.
    VL  - 7
    IS  - 2
    ER  - 

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Author Information
  • Mathematics Department, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia

  • Mathematics Department, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia

  • Mathematics Department, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia

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