Volume 6, Issue 2, June 2020, Page: 26-34
Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions
Boubacar Sow, Department of Physics, Atoms Laser Laboratory, University Cheikh Anta Diop, Dakar, Senegal
Malick Sow, Department of Physics, Atoms Laser Laboratory, University Cheikh Anta Diop, Dakar, Senegal
Ahmadou Wagué, Department of Physics, Atoms Laser Laboratory, University Cheikh Anta Diop, Dakar, Senegal
Received: Jul. 6, 2020;       Accepted: Jul. 14, 2020;       Published: Jul. 28, 2020
DOI: 10.11648/j.ijamtp.20200602.13      View  27      Downloads  35
Abstract
Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using a new wave function including a new method to calculate the correlation factor taking into account spherical harmonics through hypergeometric functions to calculate (1s22s) 2Se, (1sns2) 2Se, (1s2sns) 2Se and (1s2snp) 2PO states. The calculations concern the total energy, kinetic energy, Coulomb interaction between the atomic nucleus and the three electrons and the Coulomb interaction between electrons. The results that we have obtained confirm that a relatively theoretical procedure could be used for adequate calculations and understanding of electron correlation effects in doubly excited three- electron states. These results are in compliance with some experimental and theoretical data.
Keywords
Wave Function Correlated, Spherical Harmonics, Excited States, Correlation Factor
To cite this article
Boubacar Sow, Malick Sow, Ahmadou Wagué, Correlation Factor Taking into Account Spherical Harmonics Through Hypergeometric Functions to Calculate Energies of Li-Like Ions, International Journal of Applied Mathematics and Theoretical Physics. Vol. 6, No. 2, 2020, pp. 26-34. doi: 10.11648/j.ijamtp.20200602.13
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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