Abstract
The hyperfine structure of the ground 22 S-states of the three-electron atoms and ions is investigated. By using our recent numerical values for the doublet electron density at the atomic nucleus, we determine the hyperfine structure of the ground (doublet) 22 S-state(s) in the 6Li and 7Li atoms. Our predicted values (228.2058 and 803.5581 MHz, respectively) agree well with the experimental values 228.20528(8) MHz (6Li) and 803.50404(48) MHz (7Li [R.G. Schlecht and D.W. McColm, Phys. Rev. 142, 11 (1966)]). The hyperfine structures of a number of lithium isotopes with short lifetimes, including 8Li, 9Li, and 11Li atoms are also predicted. The same method is used to obtain the hyperfine structures of the three-electron 7Be+ and 9Be+ ions in their ground 22 S-states. Finally, we conclude that our approach can be generalized to describe the hyperfine structure in the triplet n 3 S-states of the four-electron atoms and ions.
Similar content being viewed by others
References
J. Tennyson, Astrophysical Spectroscopy, 2nd. ed. (World Scientific, Hong Kong, 2004).
L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, 3rd. ed. (Pergamon, Oxford, 1976), par. 121.
CRC Handbook of Chemistry and Physics, 95th ed., Ed. by W. M. Haynes (Taylor and Francis Group, Boca Raton, FL, 2014–2015).
H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms (Plenum, New York, 1977), par. 40.
E. Fermi, Zeitschr. Phys. 60, 320 (1930).
A. M. Frolov, M. B. Ruiz, and D. M. Wardlaw, Chem. Phys. Lett. 608, 191 (2014), A. M. Frolov and D. M. Wardlaw, arXiv: 1604.06355v4 [physatm-clus] (2016).
N. N. Kolesnikov and V. I. Tarasov, Sov. Phys. Nucl. Phys. 35, 354 (1982).
F. W. King, Phys. Rev. A 40, 1735 (1989).
R. G. Schlecht and D. W. McColm, Phys. Rev. 142, 11 (1966).
C. J. Sansonetti, C. E. Simien, J. D. Gillaspy, J. N. Tan, S. M. Brewer, R. C. Brown, S. Wu, and J. V. Porto, Phys. Rev. Lett. 107, 023001 (2011).
W. Nortershauser, T. Neff, R. Sanchez, and I. Sick, Phys. Rev. C 84, 024307 (2011).
K. Beloy and A. Derevianko, Phys. Rev. A 78, 032519 (2008).
M. Puchalski and K. Pachuki, Phys. Rev. A 79, 032510 (2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Frolov, A.M. On the hyperfine structures of the ground state(s) in the 6Li and 7Li atoms. Jetp Lett. 103, 739–742 (2016). https://doi.org/10.1134/S0021364016120018
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364016120018