Bound state spectra and properties of the doublet states in three-electron atomic systems

Frolov, Alexei M.; Ruiz, María Belén; Wardlaw, David M.

doi:10.1016/j.cplett.2014.05.084

Cited by 8 publications

(13 citation statements)

References 26 publications

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“…A gaussian correlated factors [16]. These results indicate that our expectation values coincide in 2-3 s.d.…”

Section: Discussionsupporting

confidence: 74%

Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. III. Spin-quartet state of the Lithium sequence

Nader,

del Valle,

Vieyra

et al. 2022

Preprint

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As a continuation of Part I, dedicated to the ground state of He-like and Li-like isoelectronic sequences for nuclear charges Z ≤ 20, and Part II, dedicated to two excited states of He-like sequence, two ultra-compact wave functions in the form of generalized Guevara-Harris-Turbiner functions are constructed for Li-like sequence. They describe accurately the domain of applicability of the Quantum Mechanics of Coulomb Charges (QMCC) for energies (2-3 significant digits (s.d.)) of the spin-quartet state 1 4 0 + of Li-like ions (in static approximation with point-like, infinitely heavy nuclei). Variational parameters are fitted in Z by 2nd degree polynomials. The most accurate ultra-compact function leads to the absolute accuracy ∼ 10 −3 a.u. for energy, and ∼ 10 −4 for the normalized electron-nuclear cusp parameter for Z ≤ 20. Critical charge Z = Z B , where the ultra-compact trial function for the 1 4 0 + state looses its square-integrability, is estimated, Z B (1 4 0 + ) ∼ 1.26 − 1.30. As a complement to Part I, square integrability for the compact functions constructed for the ground, spin-doublet state 1 2 0 + of the Li-like sequence is discussed. The critical charge, for which these functions stop to be normalizable, is estimated as Z B (1 2 0 + ) = 1.62 − 1.65.It implies that at Z = 2 -the negative helium ion He − -both states 1 2 0 + and 1 4 0 + exist as states embedded to continuum.

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“…A gaussian correlated factors [16]. These results indicate that our expectation values coincide in 2-3 s.d.…”

Section: Discussionsupporting

confidence: 74%

Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. III. Spin-quartet state of the Lithium sequence

Nader,

del Valle,

Vieyra

et al. 2022

Preprint

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“…The set of parameters a l1 , b l1 , c l1 and ρ l1 was optimized using the non-linear least squares method independently for l 1 = 0, 1, 2. The accurate theoretical [23] and experimental [24] energies of five lowest states with respect to the ionization threshold for every l 1 = 0 . .…”

Section: Model Potential Of LI +mentioning

confidence: 99%

$R$-matrix calculations of electron collisions with lithium atom at low energies

Tarana,

Čurík

2018

Preprint

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R-matrix calculations of the electron collisions with lithium atom at energies below the 3s excitation threshold are presented. The 1 S e , 3 S e and 1 P o phase shifts calculated in the near-threshold energy range are in excellent agreement with previous theoretical studies. The threshold behavior of the 3 P o phase shift is accurately analyzed along with the resonance located at the scattering energy ∼ 60 meV. The phase shifts and cross sections calculated here show two resonances below the 3s threshold that have not been previously reported.

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“…In this short communication we report the results of our analysis of the hyperfine structure of the bound 2 S−states in three-electron atomic systems. Our main goal in this study is to develop the new method which can be used for direct computations of the hyperfine structure and hyperfine structure splitting of the ground 2 2 S−state(s) in the 6 Li and 7 Li atoms. In the future we want to apply the same approach to determie the hyperfine structure of the bound triplet 3 S−states in four-electron atoms and ions.…”

mentioning

confidence: 99%

“…Below, we restrict ourselves to the cases of the 6 Li and 7 Li atoms for which we have (2 + 4) energy levels of hyperfine structure in the 6 Li atom and eight analogous levels (3 + 5) in the 7 Li atom. The differnce between the energies of these levels is called the hyperfine structure splitting ∆E hf .…”

mentioning

confidence: 99%

On the hyperfine structures of the ground state(s) in the 6Li and 7Li atoms

Frolov

2016

Jetp Lett.

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Hyperfine structure of the ground 2 2 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) 2 2 S−state(s) in the 6 Li and 7 Li atoms.Our predicted values (228.2058 M Hz and 803.5581 M Hz, respectivly) agree well with the experimental values 228.20528(8) M Hz ( 6 Li) and 803.50404(48) M Hz ( 7 Li (R.G. Schlecht and D.W.McColm, Phys. Rev. 142, 11 (1966))). The hyperfine structures of a number of lithium isotopes with short life-times, including 8 Li, 9 Li and 11 Li atoms are also predicted. The same method is used to obtain the hyperfine structures of the three-electron 7 Be + and 9 Be + ions in their ground 2 2 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.PACS number(s): 32.10.Fn, 31.15.A-and 31.15.Ve This manuscript will be published in the Letters to JETP, 103, issue 12, xxx (2016). *

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Bound state spectra and properties of the doublet states in three-electron atomic systems

Cited by 8 publications

References 26 publications

Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. III. Spin-quartet state of the Lithium sequence

Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. III. Spin-quartet state of the Lithium sequence

$R$-matrix calculations of electron collisions with lithium atom at low energies

On the hyperfine structures of the ground state(s) in the 6Li and 7Li atoms

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