Leptonic Pair Production in Electro Magnetic Field

Sadah Abdullah Alkhateeb; Aisha Abdu Alshaery; Rawan Ali Aldosary

doi:doi:10.11648/j.ns.20220702.12

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Leptonic Pair Production in Electro Magnetic Field

Sadah Abdullah Alkhateeb, Aisha Abdu Alshaery, Rawan Ali Aldosary

Published in Nuclear Science (Volume 7, Issue 2)

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.

Published in	Nuclear Science (Volume 7, Issue 2)
DOI	10.11648/j.ns.20220702.12
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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[3]	Zhu, W. (2020). Improved Bethe-Heitler formula. Nuclear Physics B, 953, 114958.
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[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.
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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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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

Sadah Abdullah Alkhateeb

Mathematics Department, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia
Aisha Abdu Alshaery

Mathematics Department, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia
Rawan Ali Aldosary

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

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Plain Text BibTeX RIS

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  -

Copy | Download