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Probabilities of forbidden magnetic-dipole transitions in the hydrogen atom and hydrogen-like ions

  • Spectroscopy of Atoms and Molecules
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Abstract

Explicit formulasfor strongly forbidden magnetic-dipole transitiions between states njl and n′jl in the hydrogen atom and light hydrogen-like ions are derived. The expressions for transition probabilities are presented in the form W (M1) n′jl; njl = D lj n′n αm e Z)10 (in relativistic units), where m e is the electron mass, α is the fine-structure constant, and Z is the nuclear charge; the constants D lj n′n are presented in an analytical form. Before now, only the D 01/221 coefficient corresponding to the 1s 1/2–2s 1/2 transition was known in explicit form. The results obtained can be used in designing an experiment on parity violation in the hydrogen atom.

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Original Russian Text © A.M. Puchkov, L.N. Labzovskiĭ, 2009, published in Optika i Spektroskopiya, 2009, Vol. 106, No. 2, pp. 181–186.

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Puchkov, A.M., Labzovskiĭ, L.N. Probabilities of forbidden magnetic-dipole transitions in the hydrogen atom and hydrogen-like ions. Opt. Spectrosc. 106, 153–157 (2009). https://doi.org/10.1134/S0030400X09020015

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  • DOI: https://doi.org/10.1134/S0030400X09020015

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