Volume 4, Issue 2, June 2018, Page: 27-41
Variationnal Calculation of the Doubly (nl) 2 1Lp Excited States of He-Like Ions Via the Screening Constant by Unit Nuclear Charge Formalism
Jean Kouhissoré Badiane, Department of Physics, UFR Sciences and Technologies, University Assane Seck of Ziguinchor, Ziguinchor, Senegal
Mamadou Diouldé Ba, Department of Physics, UFR Sciences and Technologies, University Assane Seck of Ziguinchor, Ziguinchor, Senegal
Abdourahmane Diallo, Department of Physics, UFR Sciences and Technologies, University Assane Seck of Ziguinchor, Ziguinchor, Senegal
Momar Talla Nging, Department of Physics, UFR Sciences and Technologies, University Assane Seck of Ziguinchor, Ziguinchor, Senegal
Malick Sow, Department of Physics, Faculty of Sciences and Techniques, University Cheikh Anta Diop of Dakar, Dakar, Senegal
Ibrahima Sakho, Department of Physics, UFR Sciences and Technologies, University Assane Seck of Ziguinchor, Ziguinchor, Senegal
Received: May 19, 2018;       Accepted: Jun. 20, 2018;       Published: Jul. 16, 2018
DOI: 10.11648/j.ijamtp.20180402.11      View  485      Downloads  35
Abstract
The present work deals with an ab initio calculation of total energies of the doubly excited np2, nd2 and nf2 states in the helium-like systems. These total energies are calculated in the framework of the variationnal procedure of the Screening constant by unit nuclear charge (SCUNC) formalism. In the present work, a new correlated wave function is presented to express analytically the total energies of the doubly np2, nd2 and nf2 excited states in the He-like systems. The present results obtained up to Z = 10 and n = 4 agree very well with various computational methods.
Keywords
Ab Initio Calculation, Doubly Excited, Total Energy, Helium-Like Systems, Correlated Wave Function, Screening Constant by Unit Nuclear Charge
To cite this article
Jean Kouhissoré Badiane, Mamadou Diouldé Ba, Abdourahmane Diallo, Momar Talla Nging, Malick Sow, Ibrahima Sakho, Variationnal Calculation of the Doubly (nl) 2 1Lp Excited States of He-Like Ions Via the Screening Constant by Unit Nuclear Charge Formalism, International Journal of Applied Mathematics and Theoretical Physics. Vol. 4, No. 2, 2018, pp. 27-41. doi: 10.11648/j.ijamtp.20180402.11
Copyright
Copyright © 2018 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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