Radiative hyperfine transitions

Mathematics – Probability

Scientific paper

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Electron Transitions, Hyperfine Structure, Radiative Transfer, Transition Probabilities, Line Spectra, Magnetic Moments, Zeeman Effect

Scientific paper

An improved calculation is given for the probability for radiative transitions between hyperfine levels in atomic hydrogen (H), deuterium (D), tritium (T), and He-3(+). The calculation includes the effect of the first-order radiative correction to the intrinsic magnetic moment of the electron and the effect of the coupling of the outgoing photon to the magnetic moment of the nucleon/nucleus (as well as to the electron's moment). For H and D, the new A-values are approximately 1% larger than quantities that are currently in use; the new value for He-3(+) is approximately 3 times larger than the quoted number. The derivation of the rates is by elementary methods, but the results are accurate to approximately 1 ppm, that is, to six significant figures. A brief discussion is also given of the lines' Zeeman splitting and intensities in the individual components.

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