The widths of the spectral emission lines of a hydrogen-like atom in a superstrong magnetic field B >> (Zα)2 B 0, B 0 = m e 2 / e ≈ 4.41·1013 G, have been calculated. Specifically, the width of the α-line of the Lyman series is roughly 2 times smaller than in the absence of a magnetic field. Along with linear polarization of radiation, this makes it possible to determine the magnitude of the magnetic field of magnetars within the limits of the inequality B >> (Zα)2 B 0 from an analysis of the hydrogen emission spectrum. The general expression, so obtained, for the spectral width for an n → n′ transition with emission of a photon allows one in principle to calculate the width of any line of the emission spectrum of hydrogen in such a field with expansion of the possibilities of experimental identification of the latter.
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References
V. V. Skobelev, Zh. Eksp. Teor. Fiz., 142, No. 7, 85 (2012).
S. L. Adler, J. N. Bahcall, C. G. Callan, and M. N. Rosenbluth, Phys. Rev. Lett., 25, 1061 (1970).
V. V. Skobelev, Russ. Phys. J., 53, No. 2, 198 (2010).
V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Relativistic Quantum Theory, Vol. 4, Pergamon Press, Oxford (1971).
L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Non-Relativistic Theory, Vol. 3, Pergamon Press, Oxford (1977), pp. 150 and 527 in the Russian original (1974 edition).
A. A. Sokolov, Introduction to Quantum Electrodynamics, United States Atomic Energy Commission, Office of Technical Information (1960).
H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms, Plenum Publishing, New York (1977).
V. V. Skobelev, Russ. Phys. J., 59, No. 7, 1076 (2016).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 99–102, February, 2017.
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Skobelev, V.V. On the Possibility of Determining the Magnitude of the Magnetic Field of Magnetars from the Emission Spectra of Hydrogen-Like Atoms. Russ Phys J 60, 309–312 (2017). https://doi.org/10.1007/s11182-017-1076-9
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DOI: https://doi.org/10.1007/s11182-017-1076-9