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Two-photon E1M1 and E1E2 transitions between 2p and 1s levels in hydrogen

  • L. Labzowsky
  • D. Solovyev
  • G. PlunienEmail author
  • G. Soff
Atomic Physics

Abstract.

Two-photon transitions in the hydrogen atom are analytically evaluated within the nonrelativistic limit utilizing the Coulomb Green function method. The two-photon emission probability for the transition process 2s→2γ(E1)+1s serves as a test for the other calculations and was compared with the results of previous analytical and numerical calculations. The two-photon emission probabilities for the processes 2p→ γ(E1)+γ(M1)+1s and 2p→γ(E1)+γ(E2)+1s are also evaluated and compared with previous numerical calculations. Different nonrelativistic “forms" for the decay probabilities in combination with different gauge choices are considered.

Keywords

Hydrogen Spectroscopy Neural Network State Physics Hydrogen Atom 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. M. Göppert-Mayer, Ann. Phys. (Leipzig), 9, 273 (1931) Google Scholar
  2. G. Breit, E. Teller, Astrophys. J. 91, 215 (1940) CrossRefADSGoogle Scholar
  3. S. Klarsfeld, Phys. Lett. A 30, 382 (1969) CrossRefADSGoogle Scholar
  4. S.P. Goldman, G.W.F. Drake, Phys. Rev. A 26, 2877 (1982) CrossRefADSGoogle Scholar
  5. F.A. Parpia, W.R. Johnson, Phys. Rev. A 26, 1142 (1982) CrossRefADSGoogle Scholar
  6. Z. Fried, A.D. Martin, Nuevo Cim. 29, 574 (1963) Google Scholar
  7. R. Bacher, Z. Phys. A 315, 135 (1984) CrossRefADSGoogle Scholar
  8. J.P. Santos, F. Parente, P. Indelicato, Eur. Phys. J. D 3, 43 (1998) CrossRefADSGoogle Scholar
  9. S.G. Karshenboim, V.G. Ivanov, Opt. Spectrosc. 83, 1 (1997) ADSGoogle Scholar
  10. S.G. Karshenboim, Zh. Eksp. Teor. Fiz. 107, 1061 (1995) [Engl. Transl: Sov. Phys. JETP 80, 593 (1995)] Google Scholar
  11. V.G. Ivanov, S.G. Karshenboim, Zh. Eksp. Teor. Fiz. 109, 1219 (1996) [Engl. Transl: Sov. Phys. JETP 80, 656 (1996)] Google Scholar
  12. U.D. Jenschura, Phys. Rev. A 69, 052118 (2004) CrossRefADSGoogle Scholar
  13. J.H. Tung, X.M. Ye, G.J. Salamo, F.T. Chen, Phys. Rev. A 30, 1175 (1984) CrossRefADSGoogle Scholar
  14. L.N. Labzowsky, A.V. Shonin, D.A. Solovyev, J. Phys. B 38, 265 (2005) CrossRefADSGoogle Scholar
  15. L.N. Labzowsky, A.V. Shonin, Phys. Lett. A 333, 289 (2004) CrossRefADSGoogle Scholar
  16. L. Hostler, J. Math. Phys. 5, 591 (1964) CrossRefMathSciNetGoogle Scholar
  17. B.A. Zon, L.P. Rapoport, Pis'ma Zh. Eksp. Teor. Fiz. 7, 70 (1968) [Engl. Transl.: JETP Lett. 7, 52 (1968)] Google Scholar
  18. B.A. Zon, N.L. Manakov, L.P. Rapoport, Zh. Eksp. Teor. Fiz. 56, 400 (1969) [Engl. Transl.: Sov. Phys. - JETP 28, 480 (1969)] Google Scholar
  19. E.J. Kelsey, J. Macek, J. Math. Phys. 17, 1182 (1976) CrossRefADSGoogle Scholar
  20. J.P. Gasean, J. Math. Phys. 23, 156 (1982) CrossRefADSMathSciNetGoogle Scholar
  21. R.W. Schmieder, Phys. Rev. A 7, 1458 (1973) CrossRefADSGoogle Scholar
  22. G.W.F. Drake, Nucl. Instr. Meth. B 66, 465 (1985) CrossRefADSGoogle Scholar
  23. I.M. Savukov, W.R. Johnson, Phys. Rev. A 66, 062507 (2002) CrossRefADSGoogle Scholar
  24. L.N. Labzowsky, A.V. Shonin, Phys. Rev. A 69, 012503 (2004) CrossRefADSGoogle Scholar
  25. E.G. Drukarev, A.N. Moskalev, ZhETP 73, 2060 (1977) Google Scholar
  26. V.G. Gorshkov, A.I. Mikhailov, A.N. Moskalev, V.I. Fomichev, ZhETP 81, 115 (1981) Google Scholar
  27. J.S.M. Ginges, V.V. Flambaum, Phys. Rep. 397, 63 (2004) CrossRefADSGoogle Scholar
  28. W.R. Johnson, I. Bednyakov, G. Soff, Phys. Rev. Lett. 88, 079963 (2001) Google Scholar
  29. V. Shabaev, K. Pachucki, I. Tupitsyn, V. Yerokhin, Phys. Rev. Lett. 94, 213002 (2005) CrossRefADSGoogle Scholar
  30. B. Lynn, P.G. Sandars, J. Phys. B 27, 1469 (1994) CrossRefADSGoogle Scholar
  31. I. Bednyakov, L. Labzowsky, G. Plunien, G. Soff, V. Karasiev, Phys. Rev. A 61, 012103 (2000) CrossRefADSGoogle Scholar
  32. L.N. Labzowsky, D.A. Solovyev, G. Plunien, G. Soff, Phys. Rev. A 65, 054502 (2002) CrossRefADSGoogle Scholar
  33. A.A. Nikitin, Z.B. Rudzikas, Osnovy teorii specktrov atomov i ionov, Foundations of the theory of spectra for atoms and ions (Moskva, Nauka, 1983) (in Russian) Google Scholar
  34. A.I. Akhiezer, V.B. Berestetskii, Quantum Electrodynamics (Wiley, 1965) Google Scholar
  35. N.S. Kychkin, U.M. Kaniauskas, Z.B. Rudzikas, Liet. Fiz. Rinkinys 14, 727 (1974) (in Russian) Google Scholar
  36. U.M. Kaniauskas, G.V. Merkelis, Z.B. Rudzikas, Liet. Fiz. Rinkinys 19, 795 (1979) (in Russian) MathSciNetGoogle Scholar
  37. L.N. Labzowsky, D. Solovyev, in: Precision Physics of Simple Atomic Systems, edited by S.G. Karshenboim, V.B. Smirnov (Springer, 2003), p. 15 Google Scholar
  38. L.P. Rapoport, B.A. Zon, N.L. Manakov, Teorija mnogofotonnych prozessov v atomach, Theory of the multiphoton processes in atoms (Moscow, Atomizdat, 1978) (in Russian) Google Scholar
  39. B.A. Zon, N.L. Manakov, L.P. Rapoport, Zh. Eksp. Teor. Fiz. 55, 924 (1968) Google Scholar
  40. L.N. Labzowsky, D.A. Solovyev, G. Plunien, G. Soff, Phys. Rev. Lett. 87, 143003 (2001) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Authors and Affiliations

  • L. Labzowsky
    • 1
    • 2
  • D. Solovyev
    • 1
  • G. Plunien
    • 3
    Email author
  • G. Soff
    • 3
  1. 1.Department of PhysicsSt. Petersburg State UniversitySt. PetersburgRussia
  2. 2.Petersburg Nuclear Physics InstituteSt. PetersburgRussia
  3. 3.Institut für Theoretische Physik, Technische Universität DresdenDresdenGermany

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