The Singlet Doubly Excited (nl)2 (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z)
International Journal of Applied Mathematics and Theoretical Physics
Volume 3, Issue 4, October 2017, Pages: 78-85
Received: Jun. 10, 2017; Accepted: Jul. 3, 2017; Published: Aug. 9, 2017
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Authors
Abdou Diouf, Department of Physics, Atoms Laser Laboratory, University Cheikh Anta Diop, Dakar, Senegal
Boubacar Sow, Department of Physics, Atoms Laser Laboratory, University Cheikh Anta Diop, Dakar, Senegal
Youssou Gning, 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
Alassane Traore, Department of Physics, Atoms Laser Laboratory, University Cheikh Anta Diop, Dakar, Senegal
Ahmadou Wague, Department of Physics, Atoms Laser Laboratory, University Cheikh Anta Diop, Dakar, Senegal
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Abstract
Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using the variational method. New wave function with two terms including correlation was performed to calculate excited (ns2) 1Se, (np2) 1De, (nd2) 1Ge, (nf2) 1Ie, (nh2) 1Me and (ng2) 1Ke states with (n ≤ 7). The results obtained show quantitatively the great significance of electron correlation effects in the doubly excited states. These results are in compliance with some experimental and theoretical data.
Keywords
Energy, Wave Function, Two Terms, Excited States, Atoms and Ions
To cite this article
Abdou Diouf, Boubacar Sow, Youssou Gning, Malick Sow, Alassane Traore, Ahmadou Wague, The Singlet Doubly Excited (nl)2 (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z), International Journal of Applied Mathematics and Theoretical Physics. Vol. 3, No. 4, 2017, pp. 78-85. doi: 10.11648/j.ijamtp.20170304.11
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Copyright © 2017 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.
References
[1]
A. Artemyev R. Grobe and J. H. Eberly. PhysicalReview A Vol. 51 No 1. (1995).
[2]
I. A. Ivanov. Physical Review A. Vol 52 N 3(1995).
[3]
B. B. Nadezhdin and E. A. Oks. Opt. Spectrosk. Vol. 68 p. 22 -28. (1990).
[4]
A. Wagué. Z. Phys. D - atoms molecules andclusters 8 p. 251 – 254. (1988).
[5]
D. Ray and P. K. Mukherjee. J. Phys. B: At. Mol. Opt. Phys. N. 19 p. 1241 - 1249. (1991).
[6]
D. Ray, B. Kundu P. K. Mukherjee K. Ohtsuki and K. Ohno. Phys. Lett. 136 A 423. (1989).
[7]
A. L. Godunov, N. V. Novikov V. S. Senashenko. Physics letters A. Vol. 145, p. 437 – 440. (1990).
[8]
M. E. Ke1lman and D. R. Herrick. J. Phys. B: vol II N 24. (1978).
[9]
U. Fano. Report prog. Physcs. Vol 46, p. 97-165. (1983).
[10]
S. Watanabe C. D. Lin. Phy. Rev. A. Vol. 34, N02. (1986).
[11]
I. A. Ivanov and U. I. Safronova. Opt. Spectrosk. Vol. 75, P. 506 – 516. (1993).
[12]
O. V. Konstantinov, Sh. K. Nasibulaev and O. A. Ponomarev. Opt. Spectrosk. Vol. 68. p. 248-250. (1990).
[13]
A. Wagué. Thèse d'état physique atomique, Université Paul Sabatier, Toulouse. (1984).
[14]
V. V. Balashoy S. Grishanoya 1. M. Krugloyaand V. S. Senashenko. Opt. Spektrosk. T. Vol 28, p. 859 – 868. (1970).
[15]
V. S. Senashenko A. Wagué. J. Phys. B : Atom. Molec. Phys. Vol. 12, N08. (1979).
[16]
D. R. Herrick and O. Sinanoglu. Phys. Rev. A II 97. (1975).
[17]
C. D. Lin. Physical Review A; Vol 29, N3. (1984).
[18]
D. R. Herrick and M. E. Kellman. Physical Review A. vol 21 N02. (1980).
[19]
D. R. Herrick M. E. Kellman and R. D. Poliak. Phys. Review A. Vol 22. N04. (1980).
[20]
J. Mahecha Gamez. Review A. Vol 34. N. 4. (1980).
[21]
Y. K. Ho. J. Phys. B: Atom. Molec. Phys. Vol. 12N. 18. (1979).
[22]
E. Bals1ev and J. M. Combes. Commun. Math. Phy. Vol. 22 P. 280 294. (1971).
[23]
C. Cerjan R. Hedges C. HoIt W. P. Reinhardt, K. Scheibner and J. J. Wendoloskl. Int. J. Quantum Chem. vol. 14 P. 393 – 418. (1978).
[24]
R. Varis and P. Winkler. J. Phys. B: Atom. Molec. Phys. Vol. 8 p. 1475 – 1480. (1978).
[25]
Hylleraas. E. A. Zeits. f. Phys. 48, 469. (1928).
[26]
Boubacar Sow, Youssou Gning, Malick Sow, Alassane Traore, Ahmadou Wagué. American Journal of Modern Physics. 5(5): 146-153. (2016).
[27]
Youssou Gning, Malick Sow, Alassane Traoré, Matabara Dieng, Babacar Diakhate, Mamadi Biaye, Ahmadou Wagué. Radiation Physics and Chemistry 106, 1–6. (2015).
[28]
M. Biaye, M. Dieng, I. Sakho, A. Konte, A. S. Ndao, and A. Wague. Chinese Journal of Physics. VOL. 47, NO. 2. (2009).
[29]
M. Biaye, A. Konte, N. A. B. Faye, A. Wague. Phys. Scr. 71, 39. (2005).
[30]
Hylleraas. E. A. Z. Phys. 54, 347. (1929).
[31]
I. Sakho, A. Konte, A. S Ndao, M. Biaye, and A. Wague. Phys. Scr. 82, 035301. (2010).
[32]
Y. K. Ho, Phys. Rev. A. 23, 2137. (1981).
[33]
A. I. Inanov and U. I. Safronova. Opt. Spectrosc. 75, 298. (1993).
[34]
A. K. Roy, R. Singh, and B. M. Deb. J. Phys. B: At. Mol. Opt. Phys. 30, 4763. (1997).
[35]
S. Diehl, D. Cubaynes, J. P. Bizau, F. J. Wuilleumier, E. P. Kenedy et al. J. Phys. B: At. Mol. Opt. Phys. 32, 503. (1999).
[36]
M. Biaye Thèse de Doctorat d’état, Université Cheikh Anta Diop de Dakar. (2005).
[37]
Ray. D, Mukherjee P. K. (1991). J. Phys. B 24, 1241.
[38]
B. Sow, M. Sow, Y. Gning, A. Traoré, A. S. Ndao, A. Wague. Radiation Physics and Chemistry 123, 25–30. (2016).
[39]
C. D. Lin. Physical Review A; Vol 29, N 3. (1984).
[40]
D. R. Herrick and M. E. Kellman. Physical Review A. vol 21, N 2. (1980).
[41]
M. E. Kellman and D. R. Herrick. JPhys. B: Vol. II N. 24. (1978).
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