Nuclear Size Corrections to the Energy Levels of Single-Electron Atoms

Babak Nadiri Niri; Arash Anjami

doi:doi:10.11648/j.ns.20180301.11

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Nuclear Size Corrections to the Energy Levels of Single-Electron Atoms

Babak Nadiri Niri, Arash Anjami

Published in Nuclear Science (Volume 3, Issue 1)

Received: 22 February 2018 Accepted: 14 March 2018 Published: 8 April 2018

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Abstract

A study is made of nuclear size corrections to the energy levels of single-electron atoms for the ground state of hydrogen like atoms. We consider Fermi charge distribution to the nucleus and calculate atomic energy level shift due to the finite size of the nucleus in the context of perturbation theory. The exact relativistic correction based upon the available analytical calculations is compared to the result of first-order relativistic perturbation theory and the non-relativistic approximation. We find small discrepancies between our perturbative results and those obtained from exact relativistic calculation even for large nuclear charge number Z.

Published in	Nuclear Science (Volume 3, Issue 1)
DOI	10.11648/j.ns.20180301.11
Page(s)	1-8
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), 2018. Published by Science Publishing Group

Keywords

Single-Electron Atoms, Relativistic Correction, First-Order Perturbation Theory, Nuclear Charge Number

References

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Babak Nadiri Niri, Arash Anjami. (2018). Nuclear Size Corrections to the Energy Levels of Single-Electron Atoms. Nuclear Science, 3(1), 1-8. https://doi.org/10.11648/j.ns.20180301.11

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ACS Style

Babak Nadiri Niri; Arash Anjami. Nuclear Size Corrections to the Energy Levels of Single-Electron Atoms. Nucl. Sci. 2018, 3(1), 1-8. doi: 10.11648/j.ns.20180301.11

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AMA Style

Babak Nadiri Niri, Arash Anjami. Nuclear Size Corrections to the Energy Levels of Single-Electron Atoms. Nucl Sci. 2018;3(1):1-8. doi: 10.11648/j.ns.20180301.11

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@article{10.11648/j.ns.20180301.11,
  author = {Babak Nadiri Niri and Arash Anjami},
  title = {Nuclear Size Corrections to the Energy Levels of Single-Electron Atoms},
  journal = {Nuclear Science},
  volume = {3},
  number = {1},
  pages = {1-8},
  doi = {10.11648/j.ns.20180301.11},
  url = {https://doi.org/10.11648/j.ns.20180301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ns.20180301.11},
  abstract = {A study is made of nuclear size corrections to the energy levels of single-electron atoms for the ground state of hydrogen like atoms. We consider Fermi charge distribution to the nucleus and calculate atomic energy level shift due to the finite size of the nucleus in the context of perturbation theory. The exact relativistic correction based upon the available analytical calculations is compared to the result of first-order relativistic perturbation theory and the non-relativistic approximation. We find small discrepancies between our perturbative results and those obtained from exact relativistic calculation even for large nuclear charge number Z.},
 year = {2018}
}

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TY  - JOUR
T1  - Nuclear Size Corrections to the Energy Levels of Single-Electron Atoms
AU  - Babak Nadiri Niri
AU  - Arash Anjami
Y1  - 2018/04/08
PY  - 2018
N1  - https://doi.org/10.11648/j.ns.20180301.11
DO  - 10.11648/j.ns.20180301.11
T2  - Nuclear Science
JF  - Nuclear Science
JO  - Nuclear Science
SP  - 1
EP  - 8
PB  - Science Publishing Group
SN  - 2640-4346
UR  - https://doi.org/10.11648/j.ns.20180301.11
AB  - A study is made of nuclear size corrections to the energy levels of single-electron atoms for the ground state of hydrogen like atoms. We consider Fermi charge distribution to the nucleus and calculate atomic energy level shift due to the finite size of the nucleus in the context of perturbation theory. The exact relativistic correction based upon the available analytical calculations is compared to the result of first-order relativistic perturbation theory and the non-relativistic approximation. We find small discrepancies between our perturbative results and those obtained from exact relativistic calculation even for large nuclear charge number Z.
VL  - 3
IS  - 1
ER  -

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Author Information

Babak Nadiri Niri

Department of Physics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran
Arash Anjami

Department of Physics Ardabil Branch, Islamic Azad University, Ardabil, Iran

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Babak Nadiri Niri, Arash Anjami. (2018). Nuclear Size Corrections to the Energy Levels of Single-Electron Atoms. Nuclear Science, 3(1), 1-8. https://doi.org/10.11648/j.ns.20180301.11

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ACS Style

Babak Nadiri Niri; Arash Anjami. Nuclear Size Corrections to the Energy Levels of Single-Electron Atoms. Nucl. Sci. 2018, 3(1), 1-8. doi: 10.11648/j.ns.20180301.11

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AMA Style

Babak Nadiri Niri, Arash Anjami. Nuclear Size Corrections to the Energy Levels of Single-Electron Atoms. Nucl Sci. 2018;3(1):1-8. doi: 10.11648/j.ns.20180301.11

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@article{10.11648/j.ns.20180301.11,
  author = {Babak Nadiri Niri and Arash Anjami},
  title = {Nuclear Size Corrections to the Energy Levels of Single-Electron Atoms},
  journal = {Nuclear Science},
  volume = {3},
  number = {1},
  pages = {1-8},
  doi = {10.11648/j.ns.20180301.11},
  url = {https://doi.org/10.11648/j.ns.20180301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ns.20180301.11},
  abstract = {A study is made of nuclear size corrections to the energy levels of single-electron atoms for the ground state of hydrogen like atoms. We consider Fermi charge distribution to the nucleus and calculate atomic energy level shift due to the finite size of the nucleus in the context of perturbation theory. The exact relativistic correction based upon the available analytical calculations is compared to the result of first-order relativistic perturbation theory and the non-relativistic approximation. We find small discrepancies between our perturbative results and those obtained from exact relativistic calculation even for large nuclear charge number Z.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Nuclear Size Corrections to the Energy Levels of Single-Electron Atoms
AU  - Babak Nadiri Niri
AU  - Arash Anjami
Y1  - 2018/04/08
PY  - 2018
N1  - https://doi.org/10.11648/j.ns.20180301.11
DO  - 10.11648/j.ns.20180301.11
T2  - Nuclear Science
JF  - Nuclear Science
JO  - Nuclear Science
SP  - 1
EP  - 8
PB  - Science Publishing Group
SN  - 2640-4346
UR  - https://doi.org/10.11648/j.ns.20180301.11
AB  - A study is made of nuclear size corrections to the energy levels of single-electron atoms for the ground state of hydrogen like atoms. We consider Fermi charge distribution to the nucleus and calculate atomic energy level shift due to the finite size of the nucleus in the context of perturbation theory. The exact relativistic correction based upon the available analytical calculations is compared to the result of first-order relativistic perturbation theory and the non-relativistic approximation. We find small discrepancies between our perturbative results and those obtained from exact relativistic calculation even for large nuclear charge number Z.
VL  - 3
IS  - 1
ER  -

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