Hyperfine structure of hydrogenlike and lithiumlike atoms

Journal Article · Wed Nov 01 04:00:00 EST 1995 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.52.3686· OSTI ID:132891

Shabaev, V M; Shabaeva, M B; Tupitsyn, I I ^[1]

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1. Department of Physics, St. Petersburg State University, Oulianovskaya Street 1, Petrodvorets, St. Petersburg 198904 (Russian Federation)

The hyperfine splitting values of the ground state of the hydrogenlike atoms {sup 13}C{sup 5+}, {sup 14}N{sup 6+}, {sup 17}O{sup 7+} and the lithiumlike atoms {sup 7}Li{sup 0}, {sup 14}N{sup 4+}, {sup 19}F{sup 6+}, {sup 23}Na{sup 8+}, {sup 25}Mg{sup 9+}, {sup 27}Al{sup 10+}, {sup 29}Si{sup 11+}, {sup 35}Cl{sup 14+}, {sup 57}Fe{sup 23+} are calculated. The calculations of the lithiumlike ions ({ital Z}{ge}7) are based on a combination of the 1/{ital Z} perturbation theory and the configuration interaction Hartree-Fock method. The relativistic corrections are calculated in the zeroth and first orders in 1/{ital Z}. The nuclear charge and magnetization distribution corrections and the radiative corrections are taken into account. The uncertainty of the calculations is estimated to be {similar_to}0.02% for the hydrogenlike ions and {similar_to}0.06% for the lithiumlike ions, except {sup 57}Fe{sup 23+}, for which the uncertainty is about 0.15%. The hyperfine structure constant of the ground state of Li is calculated to be {ital A}=401.5(4) MHz. The results of the calculations are compared with the theoretical values obtained with other methods and with experiment.

• OSTI ID: 132891
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 5 Vol. 52; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALUMINIUM IONS
ANALYTICAL SOLUTION
ATOMIC IONS
CHLORINE IONS
CORRECTIONS
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
ERRORS
FLUORINE IONS
GROUND STATES
HARTREE-FOCK METHOD
HYDROGEN
HYPERFINE STRUCTURE
IRON IONS
LITHIUM
LITHIUM IONS
MAGNESIUM IONS
MAGNETIZATION
NITROGEN IONS
ONE-DIMENSIONAL CALCULATIONS
PERTURBATION THEORY
SILICON IONS
SODIUM IONS