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Nuclear magnetic shielding in highly charged ions

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arxiv 2108.12311 v1 pith:XGRF6WSC submitted 2021-08-27 physics.atom-ph

classification physics.atom-ph
keywords magneticnuclearionsshieldingb-likemethodaccurateapproach
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The nuclear magnetic shielding is considered within the fully relativistic approach for the ground state of H-, Li-, and B-like ions in the range Z=32-92. The interelectronic interaction is evaluated to the first order of the perturbation theory in Li- and B-like ions. The calculations are based on the finite-field method. The numerical solution of the Dirac equation with the magnetic-field and hyperfine interactions included within the dual-kinetic-balance method is employed. The nuclear magnetic shielding constant is an important ingredient for accurate determination of the nuclear magnetic moments from the high-precision g-factor measurements.

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  1. Sturmian basis set for the Dirac equation with finite nuclear size: Application to polarizability, Zeeman and hyperfine splitting, and vacuum polarization

    physics.atom-ph 2025-06 conditional novelty 6.0 of 10

    A modified Coulomb-Sturmian basis with finite-nucleus asymptotics reproduces reference values for six atomic properties and the Wichmann-Kroll vacuum polarization density in hydrogen-like ions.

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