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- W2024596454 abstract "The $frac{{ensuremath{alpha}}^{2}m}{M}$ corrections to the ratio of the hyperfine structure of the $1s$ and $2s$ states of hydrogenic atoms have been evaluated using a Foldy-Wouthuysen reduction of the Dirac Hamiltonian for the electron plus additional nuclear motion terms. The covariant two-fermion Bethe-Salpeter equation gives the same result, as does an approximately covariant calculation based on the Breit equation, a simple nuclear model, and the correspondence principle. In units of ${10}^{ensuremath{-}6}$, the $frac{{ensuremath{alpha}}^{2}m}{M}$ corrections to $R=(frac{8{ensuremath{nu}}_{2}}{{ensuremath{nu}}_{1}})ensuremath{-}1$ total -0.115, -0.029, and -0.101 for H, D, and T, respectively. The corresponding theoretical $R$ values are 34.45ifmmodepmelsetextpmfi{}0.02, 34.53ifmmodepmelsetextpmfi{}0.02, and 34.46ifmmodepmelsetextpmfi{}0.02. These agree with the available experimental values which are 34.495ifmmodepmelsetextpmfi{}0.060 and 34.2ifmmodepmelsetextpmfi{}0.6 for H and D, respectively." @default.
- W2024596454 created "2016-06-24" @default.
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- W2024596454 date "1963-04-01" @default.
- W2024596454 modified "2023-09-23" @default.
- W2024596454 title "State-Dependent Mass Corrections to Hyperfine Structure in Hydrogenic Atoms" @default.
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- W2024596454 doi "https://doi.org/10.1103/physrev.130.211" @default.
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