Doubly excited systems, particularly in heliumoid configurations, represent a complex area of research due to the strong interactions between the electrons. The diagonalization method is a powerful technique for studying these systems, simplifying the problem to a system of linear algebraic equations. This method makes it possible to obtain resonance parameters, such as energies E and partial widths Γ, with great precision. In the literature, there are no experimental measurements of the energies of doubly excited states in heliumoid systems, nor of the associated partial widths. The theoretical results available are few and often show inconsistencies. Moreover, even states have not yet been treated exhaustively using diagonalization or other theoretical methods. In this work, we focus on doubly excited resonances of 1,3Ge symmetry sublevels. Using a diagonalization method, we have performed robust numerical calculations to determine the resonance parameters (energies E and widths Γ) of the (3l1kl2) 1,3Ge states of the ion. The numerical advantages of the diagonalization method make it possible to obtain these resonance parameters simply and accurately. We report for the first time the resonance parameters of the 1,3Ge states, including E energies and Γ partial widths. The calculations have shown high accuracy, with results consistent with the few existing theoretical data. This study makes a significant contribution to our understanding of doubly excited states in heliumoid systems. These results fill a gap in the literature and provide a solid basis for future theoretical and experimental studies. The numerical advantages of the diagonalization method make it a technique of choice for the study of complex quantum systems. The results obtained pave the way for further investigations into other configurations and symmetries of doubly excited states. They also encourage the development of experimental measurements to validate theoretical predictions and improve our understanding of self-ionization processes in multi-electron ions.
| Published in | American Journal of Modern Physics (Volume 14, Issue 2) |
| DOI | 10.11648/j.ajmp.20251402.12 |
| Page(s) | 52-59 |
| 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), 2025. Published by Science Publishing Group |
O6+ He-type, Doubly Excited States, Electronic Correlation, Diagonalization Method, 1,3Ge Resonance Series
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APA Style
Ndiaye, O., Ndiaye, N., Ba, O. T., Dione, D., Faye, P. M., et al. (2025). Spectroscopic Study of the Doubly Excited 1Ge and 3Ge Even States of the Z = 8 Heliumoid System Converging to the N = 3 Threshold of the Residual Ion. American Journal of Modern Physics, 14(2), 52-59. https://doi.org/10.11648/j.ajmp.20251402.12
ACS Style
Ndiaye, O.; Ndiaye, N.; Ba, O. T.; Dione, D.; Faye, P. M., et al. Spectroscopic Study of the Doubly Excited 1Ge and 3Ge Even States of the Z = 8 Heliumoid System Converging to the N = 3 Threshold of the Residual Ion. Am. J. Mod. Phys. 2025, 14(2), 52-59. doi: 10.11648/j.ajmp.20251402.12
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Download@article{10.11648/j.ajmp.20251402.12,
author = {Oumar Ndiaye and Nogaye Ndiaye and Oumar Tidiane Ba and Djicknack Dione and Papa Macoumba Faye and Moussa Hamady Sy and Jean Paul Latyr Faye and Alassane Traore and Ababacar Sadikhe Ndao},
title = {Spectroscopic Study of the Doubly Excited 1Ge and 3Ge Even States of the Z = 8 Heliumoid System Converging to the N = 3 Threshold of the Residual Ion},
journal = {American Journal of Modern Physics},
volume = {14},
number = {2},
pages = {52-59},
doi = {10.11648/j.ajmp.20251402.12},
url = {https://doi.org/10.11648/j.ajmp.20251402.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20251402.12},
abstract = {Doubly excited systems, particularly in heliumoid configurations, represent a complex area of research due to the strong interactions between the electrons. The diagonalization method is a powerful technique for studying these systems, simplifying the problem to a system of linear algebraic equations. This method makes it possible to obtain resonance parameters, such as energies E and partial widths Γ, with great precision. In the literature, there are no experimental measurements of the energies of doubly excited states in heliumoid systems, nor of the associated partial widths. The theoretical results available are few and often show inconsistencies. Moreover, even states have not yet been treated exhaustively using diagonalization or other theoretical methods. In this work, we focus on doubly excited resonances of 1,3Ge symmetry sublevels. Using a diagonalization method, we have performed robust numerical calculations to determine the resonance parameters (energies E and widths Γ) of the (3l1kl2) 1,3Ge states of the ion. The numerical advantages of the diagonalization method make it possible to obtain these resonance parameters simply and accurately. We report for the first time the resonance parameters of the 1,3Ge states, including E energies and Γ partial widths. The calculations have shown high accuracy, with results consistent with the few existing theoretical data. This study makes a significant contribution to our understanding of doubly excited states in heliumoid systems. These results fill a gap in the literature and provide a solid basis for future theoretical and experimental studies. The numerical advantages of the diagonalization method make it a technique of choice for the study of complex quantum systems. The results obtained pave the way for further investigations into other configurations and symmetries of doubly excited states. They also encourage the development of experimental measurements to validate theoretical predictions and improve our understanding of self-ionization processes in multi-electron ions.},
year = {2025}
}
TY - JOUR T1 - Spectroscopic Study of the Doubly Excited 1Ge and 3Ge Even States of the Z = 8 Heliumoid System Converging to the N = 3 Threshold of the Residual Ion AU - Oumar Ndiaye AU - Nogaye Ndiaye AU - Oumar Tidiane Ba AU - Djicknack Dione AU - Papa Macoumba Faye AU - Moussa Hamady Sy AU - Jean Paul Latyr Faye AU - Alassane Traore AU - Ababacar Sadikhe Ndao Y1 - 2025/03/31 PY - 2025 N1 - https://doi.org/10.11648/j.ajmp.20251402.12 DO - 10.11648/j.ajmp.20251402.12 T2 - American Journal of Modern Physics JF - American Journal of Modern Physics JO - American Journal of Modern Physics SP - 52 EP - 59 PB - Science Publishing Group SN - 2326-8891 UR - https://doi.org/10.11648/j.ajmp.20251402.12 AB - Doubly excited systems, particularly in heliumoid configurations, represent a complex area of research due to the strong interactions between the electrons. The diagonalization method is a powerful technique for studying these systems, simplifying the problem to a system of linear algebraic equations. This method makes it possible to obtain resonance parameters, such as energies E and partial widths Γ, with great precision. In the literature, there are no experimental measurements of the energies of doubly excited states in heliumoid systems, nor of the associated partial widths. The theoretical results available are few and often show inconsistencies. Moreover, even states have not yet been treated exhaustively using diagonalization or other theoretical methods. In this work, we focus on doubly excited resonances of 1,3Ge symmetry sublevels. Using a diagonalization method, we have performed robust numerical calculations to determine the resonance parameters (energies E and widths Γ) of the (3l1kl2) 1,3Ge states of the ion. The numerical advantages of the diagonalization method make it possible to obtain these resonance parameters simply and accurately. We report for the first time the resonance parameters of the 1,3Ge states, including E energies and Γ partial widths. The calculations have shown high accuracy, with results consistent with the few existing theoretical data. This study makes a significant contribution to our understanding of doubly excited states in heliumoid systems. These results fill a gap in the literature and provide a solid basis for future theoretical and experimental studies. The numerical advantages of the diagonalization method make it a technique of choice for the study of complex quantum systems. The results obtained pave the way for further investigations into other configurations and symmetries of doubly excited states. They also encourage the development of experimental measurements to validate theoretical predictions and improve our understanding of self-ionization processes in multi-electron ions. VL - 14 IS - 2 ER -
Institute of Applied Nuclear Technology (IANT), University Cheikh Anta Diop, Dakar-Fann, Senegal; Department of Physics, University Cheikh Anta Diop, Dakar-Fann, Senegal
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