Energies of Doubly Excited <sup>1,3</sup>P° Resonances in He-like Systems Below the N = 2–14 Hydrogenic Threshold

Jean Kouhissore Badiane; Mamadou Dioulde Ba; Abdourahmane Diallo; Momar Talla Gning

doi:doi:10.11648/j.ns.20220701.12

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Energies of Doubly Excited ^1,3P° Resonances in He-like Systems Below the N = 2–14 Hydrogenic Threshold

Jean Kouhissore Badiane, Mamadou Dioulde Ba, Abdourahmane Diallo, Momar Talla Gning

Published in Nuclear Science (Volume 7, Issue 1)

Received: 24 September 2021 Accepted: 16 November 2021 Published: 31 May 2022

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Abstract

In this present work, resonance energies and excitation energies of doubly ^1,3P° excited states of the helium isoelectronic sequence are calculated. The doubly excited states investigated are labelled in the (K, T, A) classification scheme. The energies are calculated in the framework of the variationnal procedure of the Screening constant by unit nuclear charge (SCUNC) formalism. The results obtained compared very well with theoretical and experimental literature values. The possibility to use the SCUNC formalism report rapidly with an excellent accuracy the position of the excitation resonances as well as their width within simple analytical formulae is demonstrated. It is demonstrated that the SCUNC-method can be used to assist fruitfully experiments for identifying narrow resonance energies. Thus, our results can be used as reference data for the interpretation of atomic spectra for the diagnosis of astrophysical and laboratory plasma. In the present work, a new correlated wave function is presented to express analytically the resonance energies and excitation energies of doubly ^1,3P° excited states in the He-like systems.

Published in	Nuclear Science (Volume 7, Issue 1)
DOI	10.11648/j.ns.20220701.12
Page(s)	7-29
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

Doubly Excited ^1,3P° Resonances, Semi-empirical Calculations, Screening Constant by Unit Nuclear Charge, Rydberg Series, He-isoelectronic Sequence, (K, T, A) Classification Scheme

References

[1]	Y. K. Ho, J. Phys. B. 12 (1979) 387.
[2]	Y. K. Ho, J. Phys. B: At. Mol. Phys. 15 (1982) L69.
[3]	Y. K. Ho, Zeitschrift fur Physik D. 21 (1991) 191.
[4]	Y. K. Ho, Zeitschrift fur Physik D. 38 (1996) 19
[5]	Y. K. Ho, Z. Phys. D. 42 (1997) 77.
[6]	M. Dieng, I. Sakho, M. Biaye and A. Wagué, Radiation Physics and Chemistry. 96 (2014) 19-26.
[7]	A. I. Ivanov and I. U. Safronova, Opt. Spectrosk. 75 (1993) 516.
[8]	H. Bachau, F. Martin, A. Riera and M. Yanez, At. Data Nucl. Data Tables 48 (1991) 167.
[9]	L. Lipsky, R. Anania and M. J. Conneely, Atomic Data and Nuclear Data Tables 20 (1977) 127.
[10]	M. J. Conneely and L. Lipsky, J. Phys. B: At. Mol. Phys. 24 (1978) 4135.
[11]	I. Sakho, A. S. Ndao, M. Biaye and A. Wague. Scr. 74 (2006) 180.
[12]	I. Sakho, A. S. Ndao, M. Biaye and A. Wague, Eur. Phys. J. D 47 (2008) 37.
[13]	I. Sakho, A. S. Ndao, M. Biaye and A. Wague, Phys. Scr. 82 (2010) 035301.
[14]	I. Sakho, European Physical Journal D 61 (2011) 267.
[15]	I. Sakho, Chinese Journal of Physics 51 (2013) 2.
[16]	I. Sakho, At. Data Nucl. Data Tables 117 (2017) 425.
[17]	J. K. Badiane, M. D. Ba, A. Diallo, M. T. Nging, M. Sow and I. Sakho, International Journal of Applied Mathematics and Theoretical Physics 4 (2) (2018), 27-41.
[18]	D. R. Herrick and O. Sinanoglu, Physical Review A 11 (1975) 97.
[19]	C. D. Lin, Physical Review Letters 51 (1983) 1348.
[20]	C. D. Lin, Physical Review A 29 (1984) 1019.
[21]	C. D. Lin, Phys. Rev A 39 (1989) 4355.
[22]	S. Kar, Y. K. Ho, Journal of Physics B: Atomic, Molecular and Optical Physics 42 (2009) 044007.
[23]	M. Domke, K. Schulz, G. Remmers, G. Kaindl, and D. Wintgen, Physical Review A 53 (1996) 1424.
[24]	Hicks P. J and J. Comer, Journal of Physics B: Atomic and Molecular Physics 8 (1975) p. 1866.
[25]	P. Dhez and D. L. Ederer, Journal of Physics B: Atomic and Molecular Physics 6 (1973) L59.
[26]	R. P. Madden and K. Codling, Physical Review Letters 10 (1963) 516.
[27]	R. P. Madden and K. Codling, Astrophysical Journal 141 (1965) 364.
[28]	S. Diehl, D. Cubaynes, J.-M. Bizau, F. J. Wuilleumier, E. T. Kenedy, J.-P. Mosnier and T. J. Morgan, Journal of Physics B: Atomic, Molecular and Optical Physics 32 (1999) 503.
[29]	K. Schulz, G. Kaindl, M. Domke, J. D. Bozek, P. A. Heimann, A. S. Schlachter, and J. M. Rost. Physical Review Letters 77 (1996) 3086.
[30]	S. W. J. Scully, I. Álvarez, C. Cisneros, E. D. Emmons, M. F. Gharaibeh, D. Leitner, M. S. Lubell, A. Müller, R. A. Phaneuf and R. Püttner, Journal of Physics B: Atomic, Molecular and Optical 39 (18) (2006) 3957.
[31]	M. E. Rudd, Physical Review Letters 13 (1964) 503–505.
[32]	M. E. Rudd, Physical Review Letters 15 (1965) 580–581.
[33]	C. L. Pekeris, Phys. Rev 115 (1962) 1216.
[34]	C. L. Pekeris, Phys. Rev 126 (1962) 1470.
[35]	H. R. Sadeghpour and C. H. Greene, Phys. Rev. Lett. 65 (1990) 313.
[36]	N. Koyama, A. Tajafuji, and M. Matsuzawa, J. Phys. B: At. Mol. Opt. Phys 22 (1989) 553.
[37]	A. Burgers and E. Lindroth, Eur. Phys. J. D 10 (2000) 327.
[38]	C. A. Nicolaides and Y. Komninos, Phys. Rev. A 35 (1987) 999.
[39]	S. Cohen, H. C. Bryant, C. J. Harvey, J. E. Stewart, K. B. Butterfield, D. A. Clark, J. B. Donahue, D. W. MacArthur, G. Comtet, and W. W. Smith, Phys. Rev. A 36 (1987) 4728.
[40]	A. Wagué, Z. Phys. D 6 (1987) 337.
[41]	J.-.Z Tang, S. Watanabe and M. Mastsuzawa, Phys. Rev. A 46 (1992) 2437.

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Jean Kouhissore Badiane, Mamadou Dioulde Ba, Abdourahmane Diallo, Momar Talla Gning. (2022). Energies of Doubly Excited 1,3P° Resonances in He-like Systems Below the N = 2–14 Hydrogenic Threshold. Nuclear Science, 7(1), 7-29. https://doi.org/10.11648/j.ns.20220701.12

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ACS Style

Jean Kouhissore Badiane; Mamadou Dioulde Ba; Abdourahmane Diallo; Momar Talla Gning. Energies of Doubly Excited 1,3P° Resonances in He-like Systems Below the N = 2–14 Hydrogenic Threshold. Nucl. Sci. 2022, 7(1), 7-29. doi: 10.11648/j.ns.20220701.12

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AMA Style

Jean Kouhissore Badiane, Mamadou Dioulde Ba, Abdourahmane Diallo, Momar Talla Gning. Energies of Doubly Excited 1,3P° Resonances in He-like Systems Below the N = 2–14 Hydrogenic Threshold. Nucl Sci. 2022;7(1):7-29. doi: 10.11648/j.ns.20220701.12

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@article{10.11648/j.ns.20220701.12,
  author = {Jean Kouhissore Badiane and Mamadou Dioulde Ba and Abdourahmane Diallo and Momar Talla Gning},
  title = {Energies of Doubly Excited 1,3P° Resonances in He-like Systems Below the N = 2–14 Hydrogenic Threshold},
  journal = {Nuclear Science},
  volume = {7},
  number = {1},
  pages = {7-29},
  doi = {10.11648/j.ns.20220701.12},
  url = {https://doi.org/10.11648/j.ns.20220701.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ns.20220701.12},
  abstract = {In this present work, resonance energies and excitation energies of doubly 1,3P° excited states of the helium isoelectronic sequence are calculated. The doubly excited states investigated are labelled in the (K, T, A) classification scheme. The energies are calculated in the framework of the variationnal procedure of the Screening constant by unit nuclear charge (SCUNC) formalism. The results obtained compared very well with theoretical and experimental literature values. The possibility to use the SCUNC formalism report rapidly with an excellent accuracy the position of the excitation resonances as well as their width within simple analytical formulae is demonstrated. It is demonstrated that the SCUNC-method can be used to assist fruitfully experiments for identifying narrow resonance energies. Thus, our results can be used as reference data for the interpretation of atomic spectra for the diagnosis of astrophysical and laboratory plasma. In the present work, a new correlated wave function is presented to express analytically the resonance energies and excitation energies of doubly 1,3P° excited states in the He-like systems.},
 year = {2022}
}

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TY  - JOUR
T1  - Energies of Doubly Excited 1,3P° Resonances in He-like Systems Below the N = 2–14 Hydrogenic Threshold
AU  - Jean Kouhissore Badiane
AU  - Mamadou Dioulde Ba
AU  - Abdourahmane Diallo
AU  - Momar Talla Gning
Y1  - 2022/05/31
PY  - 2022
N1  - https://doi.org/10.11648/j.ns.20220701.12
DO  - 10.11648/j.ns.20220701.12
T2  - Nuclear Science
JF  - Nuclear Science
JO  - Nuclear Science
SP  - 7
EP  - 29
PB  - Science Publishing Group
SN  - 2640-4346
UR  - https://doi.org/10.11648/j.ns.20220701.12
AB  - In this present work, resonance energies and excitation energies of doubly 1,3P° excited states of the helium isoelectronic sequence are calculated. The doubly excited states investigated are labelled in the (K, T, A) classification scheme. The energies are calculated in the framework of the variationnal procedure of the Screening constant by unit nuclear charge (SCUNC) formalism. The results obtained compared very well with theoretical and experimental literature values. The possibility to use the SCUNC formalism report rapidly with an excellent accuracy the position of the excitation resonances as well as their width within simple analytical formulae is demonstrated. It is demonstrated that the SCUNC-method can be used to assist fruitfully experiments for identifying narrow resonance energies. Thus, our results can be used as reference data for the interpretation of atomic spectra for the diagnosis of astrophysical and laboratory plasma. In the present work, a new correlated wave function is presented to express analytically the resonance energies and excitation energies of doubly 1,3P° excited states in the He-like systems.
VL  - 7
IS  - 1
ER  -

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Author Information

Jean Kouhissore Badiane

Department of Physics, UFR Sciences and Technologies, University Assane Seck of Ziguinchor, Ziguinchor, Senegal
Mamadou Dioulde Ba

Department of Physics, UFR Sciences and Technologies, University Assane Seck of Ziguinchor, Ziguinchor, Senegal
Abdourahmane Diallo

Department of Physics Chemistry, UFR Sciences and Technologies, University Ibader Thiam of Thies, Thies, Senegal
Momar Talla Gning

Department of Physics Chemistry, UFR Sciences and Technologies, University Ibader Thiam of Thies, Thies, Senegal

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APA Style

Jean Kouhissore Badiane, Mamadou Dioulde Ba, Abdourahmane Diallo, Momar Talla Gning. (2022). Energies of Doubly Excited 1,3P° Resonances in He-like Systems Below the N = 2–14 Hydrogenic Threshold. Nuclear Science, 7(1), 7-29. https://doi.org/10.11648/j.ns.20220701.12

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ACS Style

Jean Kouhissore Badiane; Mamadou Dioulde Ba; Abdourahmane Diallo; Momar Talla Gning. Energies of Doubly Excited 1,3P° Resonances in He-like Systems Below the N = 2–14 Hydrogenic Threshold. Nucl. Sci. 2022, 7(1), 7-29. doi: 10.11648/j.ns.20220701.12

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AMA Style

Jean Kouhissore Badiane, Mamadou Dioulde Ba, Abdourahmane Diallo, Momar Talla Gning. Energies of Doubly Excited 1,3P° Resonances in He-like Systems Below the N = 2–14 Hydrogenic Threshold. Nucl Sci. 2022;7(1):7-29. doi: 10.11648/j.ns.20220701.12

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@article{10.11648/j.ns.20220701.12,
  author = {Jean Kouhissore Badiane and Mamadou Dioulde Ba and Abdourahmane Diallo and Momar Talla Gning},
  title = {Energies of Doubly Excited 1,3P° Resonances in He-like Systems Below the N = 2–14 Hydrogenic Threshold},
  journal = {Nuclear Science},
  volume = {7},
  number = {1},
  pages = {7-29},
  doi = {10.11648/j.ns.20220701.12},
  url = {https://doi.org/10.11648/j.ns.20220701.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ns.20220701.12},
  abstract = {In this present work, resonance energies and excitation energies of doubly 1,3P° excited states of the helium isoelectronic sequence are calculated. The doubly excited states investigated are labelled in the (K, T, A) classification scheme. The energies are calculated in the framework of the variationnal procedure of the Screening constant by unit nuclear charge (SCUNC) formalism. The results obtained compared very well with theoretical and experimental literature values. The possibility to use the SCUNC formalism report rapidly with an excellent accuracy the position of the excitation resonances as well as their width within simple analytical formulae is demonstrated. It is demonstrated that the SCUNC-method can be used to assist fruitfully experiments for identifying narrow resonance energies. Thus, our results can be used as reference data for the interpretation of atomic spectra for the diagnosis of astrophysical and laboratory plasma. In the present work, a new correlated wave function is presented to express analytically the resonance energies and excitation energies of doubly 1,3P° excited states in the He-like systems.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - Energies of Doubly Excited 1,3P° Resonances in He-like Systems Below the N = 2–14 Hydrogenic Threshold
AU  - Jean Kouhissore Badiane
AU  - Mamadou Dioulde Ba
AU  - Abdourahmane Diallo
AU  - Momar Talla Gning
Y1  - 2022/05/31
PY  - 2022
N1  - https://doi.org/10.11648/j.ns.20220701.12
DO  - 10.11648/j.ns.20220701.12
T2  - Nuclear Science
JF  - Nuclear Science
JO  - Nuclear Science
SP  - 7
EP  - 29
PB  - Science Publishing Group
SN  - 2640-4346
UR  - https://doi.org/10.11648/j.ns.20220701.12
AB  - In this present work, resonance energies and excitation energies of doubly 1,3P° excited states of the helium isoelectronic sequence are calculated. The doubly excited states investigated are labelled in the (K, T, A) classification scheme. The energies are calculated in the framework of the variationnal procedure of the Screening constant by unit nuclear charge (SCUNC) formalism. The results obtained compared very well with theoretical and experimental literature values. The possibility to use the SCUNC formalism report rapidly with an excellent accuracy the position of the excitation resonances as well as their width within simple analytical formulae is demonstrated. It is demonstrated that the SCUNC-method can be used to assist fruitfully experiments for identifying narrow resonance energies. Thus, our results can be used as reference data for the interpretation of atomic spectra for the diagnosis of astrophysical and laboratory plasma. In the present work, a new correlated wave function is presented to express analytically the resonance energies and excitation energies of doubly 1,3P° excited states in the He-like systems.
VL  - 7
IS  - 1
ER  -

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