Skip to main content
SpringerLink
Log in

Cross section of inelastic polarized neutron scattering by superconducting rings

  • Superconductivity
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

A general expression for the cross section of inelastic magnetic scattering of cold polarized neutrons by superconducting rings has been derived. In this scattering process, the metastable superconducting current changes via quantum jumps corresponding to a decrease in the number of fluxoids in the superconducting ring by one or several units and the change in the energy of the ring is transferred to the kinetic energy of the scattered neutron. For rings from type-II superconductors with a thickness smaller than the field penetration depth but larger than the electron mean free path, the cross sections of inelastic scattering with neutron spin flip have been obtained for the first time. The possibility of increasing the cross section of neutron scattering by a system of rings has been discussed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Yu. A. Izyumov, Sov. Phys.—Usp. 6(3), 359 (1963).

    Article  ADS  Google Scholar 

  2. S. W. Lovesey, in Dynamics of Solids and Liquids by Neutron Scattering, Ed. by S. W. Lovesey and T. Springer (Springer, Berlin, 1977).

    Chapter  Google Scholar 

  3. S. V. Maleyev, Phys.—Usp. 45(6), 569 (2002).

    Article  ADS  Google Scholar 

  4. H. A. Mook, G. Aeppli, S. M. Hayden, Z. Fisk, and D. Rytz, in Dynamics of Magnetic Fluctuations in High Temperature Superconductors, Ed. by G. Reiter, P. Horsh, and G. Psaltakis (Plenum, New York, 1991), p. 21.

    Google Scholar 

  5. D. Haug, V. Hinkov, Y. Sidis, P. Bourges, N. B. Christensen, A. Ivanov, T. Keller, C. T. Lin, and B. Keimer, New J. Phys. 12(10), 105006 (2010).

    Article  ADS  Google Scholar 

  6. A. D. Christianson, E. A. Goremychkin, R. Osborn, S. Rosenkranz, M. D. Lumsden, C. D. Malliakas, I. S. Todorov, H. Claus, D. Y. Chung, M. G. Kanatzidis, R. I. Bewley, and T. Guidi, Nature (London) 456(18), 930 (2008).

    Article  ADS  Google Scholar 

  7. A. I. Agafonov, Phys. Lett. A 374(23), 2383 (2010).

    Article  ADS  Google Scholar 

  8. M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1975).

    Google Scholar 

  9. M. Pannetier, F. C. Klaassen, R. J. Wijngaarden, M. Welling, K. Heeck, J. M. Huijbregtse, B. Dam, and R. Griessen, Phys. Rev. B: Condens. Matter 64(14), 144505 (2001).

    Article  ADS  Google Scholar 

  10. E. H. Brandt and J. R. Clem, Phys. Rev. B: Condens. Matter 69(18), 184509 (2003).

    Article  ADS  Google Scholar 

  11. Handbook of Mathematical Functions, Ed. by M. Abramowitz and I. A. Stegun (National Bureau of Standards, Washington, 1964), vol. 55.

    MATH  Google Scholar 

  12. P. G. de Gennes, Superconductivity of Metals and Alloys (W. A. Benjamin, New York, 1996).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Russian Research Centre Kurchatov Institute, pl. Akademika Kurchatova 1, Moscow, 123182, Russia

    A. I. Agafonov

Authors
  1. A. I. Agafonov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. I. Agafonov.

Additional information

Original Russian Text © A.I. Agafonov, 2011, published in Fizika Tverdogo Tela, 2011, Vol. 53, No. 8, pp. 1457–1465.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Agafonov, A.I. Cross section of inelastic polarized neutron scattering by superconducting rings. Phys. Solid State 53, 1529–1539 (2011). https://doi.org/10.1134/S1063783411080026

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063783411080026

Keywords

Search

Navigation