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 (αZ)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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References
I. B. Khriplovich, Parity Nonconservation in Atomic Phenomena (Nauka, Moscow, 1988) [in Russian].
C. S. Wood, S. C. Bennett, D. Cho, et al., Science 275, 1759 (1997).
S. C. Bennett and C. E. Wieman, Phys. Rev. Lett. 82, 2484 (1999).
S. C. Bennett and C. E. Wieman, Phys. Rev. Lett. 83, 889 (1999).
A. N. Moskalev, Pis’ma Zh. Éksp. Teor. Fiz. 19 (1974).
Ya. I. Azimov, A. A. Ansel’m, A. N. Moskalev, and R. M. Ryndin, Zh. Éksp. Teor. Fiz. 67,17 (1974).
A. N. Moskalev, R. M. Ryndin, and I. B. Khriplovich, Usp. Fiz. Nauk 118, 409 (1976).
V. V. Flambaum and I. B. Khriplovich, Zh. Éksp. Teor. Fiz. 79, 1656 (1980).
V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Course of Theretical Physics, Vol. 4: Quantum Electrodynamics (Nauka, Moscow, 1989; Pergamon, Oxrord, 1982).
G. Breit and E. Teller, Astrophys. J. 91, 215 (1940).
G. W. F. Drake, Phys. Rev. A 3, 908 (1971).
L. N. Labzovskiĭ, The Theory of the Atom: Quantum Electrodynamics of Electron Shells and Radiation Processes (Nauka, Moscow, 1996) [in Russian].
L. N. Labzovskiĭ, A. M. Puchkov, and N. K. Shevyakina, Vestnik SPbGU, No. 4, 91 (2007).
L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1989, 4th ed.; Pergamon Press, Oxford, 1977, 3rd ed.).
R. R. Lewis and W. L. Williams, Phys. Lett. B 59(1), 70 (1975).
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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