Skip to main content
Log in

Magnetic field focusing of hyperfine interaction in hydrogen

  • Fields, Particles, and Nuclei
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

We find a new correction to hyperfine splitting in the ground state of hydrogen atom in magnetic field. The physical basis for this effect is the reduction of the size of the electron orbit in magnetic field. As a result, the value of the wavefunction at the origin increases which can be called magnetic focusing. Another magnetic-field-induced effect is the appearance of field dependent tensor forces.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. J. Elliott and R. Loudon, J. Phys. Chem. Solids 15, 196 (1960).

    Article  ADS  MathSciNet  Google Scholar 

  2. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics (Pergamon, Oxford, 1978).

    Google Scholar 

  3. D. E. Kharzeev, L. D. McLerran, and H. J. Warringa, Nucl. Phys. A 803, 227 (2008); V. S. Skokov, A. Illarionov, and V. Toneev, Int. J. Mod. Phys. A 24, 5925 (2009).

    Article  ADS  Google Scholar 

  4. C. Kouveliotou, R. C. Duncan, and C. Thompson, Sci. Am. 228(2), 24 (2003); A. Harding and D. Lai, Rep. Prog. Phys. 69, 2631 (2006).

    Google Scholar 

  5. B. O. Kerbikov and M. A. Andreichikov, in Contribution to the Proceedings of International Seminar on QUARKS 2012, Yaroslavl, June 4–10, 2012 (2012), arXiv:1211.1937.

    Google Scholar 

  6. A. E. Shabad and V. V. Usov, Phys. Rev. Lett. 98, 180403 (2007); Phys. Rev. D 73, 125021 (2006); B. Machet and M. I. Vysotsky, Phys. Rev. D 83, 025022 (2011); S. I. Godunov, B. Machet, and M. I. Vysotsky, Phys. Rev. D 85, 044058 (2012); S. I. Godunov and M. I. Vysotsky, arXiv:1304.7940.

    Article  ADS  Google Scholar 

  7. L. I. Schiff and H. Snyder, Phys. Rev. 55, 59 (1939).

    Article  ADS  MATH  Google Scholar 

  8. S. G. Karshenboim, Phys. Rep. 422, 1 (2005).

    Article  ADS  Google Scholar 

  9. M. I. Eides, H. Grotch, and V. A. Shelyuto, Phys. Rep. 342, 63 (2001).

    Article  ADS  MATH  Google Scholar 

  10. H. I. Ewen and E. M. Purcell, Nature 168, 356 (1951).

    Article  ADS  Google Scholar 

  11. E. Fermi, Z. Phys. 60, 320 (1930).

    Article  ADS  MATH  Google Scholar 

  12. H. Friedrich and D. Wintgen, Phys. Rep. 183, 37 (1989).

    Article  ADS  MathSciNet  Google Scholar 

  13. R. Cohen, J. Lodenquai, and M. Ruderman, Phys. Rev. Lett. 25, 467 (1970).

    Article  ADS  Google Scholar 

  14. M. Bachmann, H. Kleinert, and A. Pelster, Phys. Rev. A 62, 052509 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  15. B. M. Karnakov and V. S. Popov, J. Exp. Theor. Phys. 97, 890 (2003); J. Exp. Theor. Phys. 114, 1 (2012).

    Article  ADS  Google Scholar 

  16. H. C. Praddaude, Phys. Rev. A 6, 1321 (1972).

    Article  ADS  Google Scholar 

  17. R. P. Feynman and H. Kleinert, Phys. Rev. A 34, 5080 (1986).

    Article  ADS  MathSciNet  Google Scholar 

  18. M. A. Humphrey, D. F. Phillips, E. M. Mattison, R. F. C. Vessot, R. E. Stoner, and R. L. Walsworth, Phys. Rev. A 68, 063807 (2003); D. F. Phillips, M. A. Humphrey, E. M. Mattison, R. E. Stoner, R. F. C. Vessot, and R. L. Walsworth, Phys. Rev. D 63, 111101 (2001).

    Article  ADS  Google Scholar 

  19. K. A. Kouzakov and A. I. Studenikin, Phys. Rev. C 72, 015502 (2005).

    Article  ADS  Google Scholar 

  20. M. A. Andreichikov, B. O. Kerbikov, V. D. Orlovsky, and Yu. A. Simonov, Phys. Rev. D 87, 094029 (2013); Yu. A. Simonov, arXiv:1304:0365; C. S. Machado, F. S. Navarra, E. G. de Oliveira, J. Noronha, and M. Strickland, arXiv:1305.3308.

    Article  ADS  Google Scholar 

  21. H. Herold, H. Ruder, and G. Wunner, J. Phys. B 14, 751 (1981).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. A. Andreichikov.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Andreichikov, M.A., Kerbikov, B.O. & Simonov, Y.A. Magnetic field focusing of hyperfine interaction in hydrogen. Jetp Lett. 99, 246–249 (2014). https://doi.org/10.1134/S0021364014050026

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364014050026

Keywords

Navigation