Skip to main content
SpringerLink
Log in

On the correlation between the deuteron quadrupole moment, the deuteron asymptotic D/S ratio, and the S-wave normalization constant

  • Nuclei
  • Theory
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

The correlation between the deuteron quadrupole moment Q, the deuteron asymptotic D/S ratio η, and the deuteron asymptotic normalization constant AS is studied. For local nucleon-nucleon potentials, it was found that the quantities Q/η and A 2 S are related by a linear equation. Owing to this, the deuteron quadrupole moment Q can be determined from known values of AS and η with an absolute precision of about 0.0003 fm2. The inclusion of the correction for meson-exchange currents and the use of the experimental neutron-proton phase shifts from the GWU partial-wave analysis made it possible to estimate the deuteron quadrupole moment at Q = 0.2852 fm2, which is in good agreement with experimental data.

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. L. Hulthén and M. Sugavara, in Handbuch der Physik, vol. XXXIX, Structure of Atomic Nuclei, Ed. by S. Flügge (Springer-Verlar, New York, 1957), p. 1 [Atomic Structure, Ed. by A. S. Davydov (Inostr. Liter., Moscow, 1959), p. 7].

    Google Scholar 

  2. G. F. Newell, Phys. Rev. 77, 141 (1950).

    Article  ADS  MathSciNet  Google Scholar 

  3. J. Blatt and V. Weisskopf, Theoretical Nuclear Physics (Dover, Mineola, NY, 1991; Inostr. Liter., Moscow, 1954).

    Google Scholar 

  4. R. V. Reid, Jr. and M. L. Vaida, Phys. Rev. A 7, 1841 (1973).

    Article  ADS  Google Scholar 

  5. E. Hadjimichael, Nucl. Phys. A 312, 341 (1978).

    Article  ADS  Google Scholar 

  6. D. M. Bishop and L. M. Cheung, Phys. Rev. A20, 381 (1979).

    Article  ADS  Google Scholar 

  7. M. Kohno, J. Phys. G 9, L85 (1983).

    Article  ADS  Google Scholar 

  8. T. E. O. Ericson and M. Rosa-Clot, Nucl. Phys. A 405, 497 (1983).

    Article  ADS  Google Scholar 

  9. T. E. O. Ericson, Nucl. Phys. A 416, 281 (1984).

    Article  ADS  Google Scholar 

  10. D. W. L. Sprung, in Proceedings of the 9th European Conference on Few-Body Problems in Physics, Tbilisi, USSR, Aug. 1984 (World Sci., Singapore, Philadelphia, 1984), p. 234.

    Google Scholar 

  11. M. N. Butler and D. W. L. Sprung, Can. J. Phys. 62, 65 (1984).

    ADS  Google Scholar 

  12. S. Klarsfeld, J. Martorell, and D. W. L. Sprung, J. Phys. G 10, 165 (1984).

    Article  ADS  Google Scholar 

  13. A. V. Blinov, L. A. Kondratyuk, and I. B. Khriplovich, Yad. Fiz. 47, 604 (1988) [Sov. J. Nucl. Phys. 47, 382 (1988)].

    Google Scholar 

  14. M. M. Mustafa, Phys. Rev. C 47, 473 (1993).

    Article  ADS  Google Scholar 

  15. I. B. Khriplovich, Yad. Fiz. 64, 570 (2001) [Phys. At. Nucl. 64, 516 (2001)].

    Google Scholar 

  16. R. V. Reid, Jr., Ann. Phys. (N.Y.) 50, 411 (1968).

    Article  ADS  Google Scholar 

  17. L. Jäde, Phys. Rev. C 58, 96 (1998).

    Article  ADS  Google Scholar 

  18. Y. Fujiwara, T. Fujita, M. Kohno, et al., Phys. Rev. C 65, 014002 (2002).

    Article  ADS  Google Scholar 

  19. V. G. J. Stoks, R. A. M. Klomp, C. P. F. Terheggen, and J. J. de Swart, Phys.Rev.C49, 2950 (1994).

    Article  ADS  Google Scholar 

  20. J. J. de Swart, C. P. F. Terheggen, and V. G. J. Stoks, Invited talk at the 3rd International Symposium on Dubna Deuteron 95, Dubna, Russia, July 4–7, 1995, nucl-th/9509032.

  21. J. W. Humberston and J. B. G. Wallace, Nucl. Phys. A 141, 362 (1970).

    Article  ADS  Google Scholar 

  22. R. B. Wiringa, V. G. J. Stoks, and R. Schiavilla, Phys. Rev. C 51, 38 (1995).

    Article  ADS  Google Scholar 

  23. T. Hamada and I. D. Johnston, Nucl. Phys. 34, 382 (1962).

    Article  Google Scholar 

  24. M. M. Nagels, T. A. Rijken, and J. J. de Swart, Phys. Rev. D 20, 1633 (1979).

    Article  ADS  Google Scholar 

  25. M. M. Nagels, T. A. Rijken, and J. J. de Swart, Phys. Rev. D 17, 768 (1978).

    Article  ADS  Google Scholar 

  26. Y. Fujiwara, C. Nakamoto, and Y. Suzuki, Phys. Rev. C 54, 2180 (1996).

    Article  ADS  Google Scholar 

  27. R. De Tourreil and D. W. L. Sprung, Nucl. Phys. A 201, 193 (1973).

    Article  ADS  Google Scholar 

  28. C. Van Der Leun and C. Anderliesten, Nucl. Phys. A 380, 261 (1982).

    Article  ADS  Google Scholar 

  29. I. Borbély, W. Grüebler, V. König, et al., Phys. Lett. B 160, 17 (1985).

    Article  ADS  Google Scholar 

  30. N. L. Rodning and L. D. Knutson, Phys. Rev. C 41, 898 (1990).

    Article  ADS  Google Scholar 

  31. R. A. Arndt, I. I. Strakovsky, and R. L. Workman, Partial-Wave Analysis Facility SAID, The George Washington University, http://gwdac.phys.gwu.edu; Phys. Rev. C 62, 034005 (2000).

  32. Nijmegen NN-Online Program, http://nn-online.org; V. G. J. Stoks, R. A. M. Klomp, M. C. M. Rentmeester, and J. J. de Swart, Phys. Rev. C 48, 792 (1993).

  33. V. A. Babenko and N. M. Petrov, Yad. Fiz. 71, 1761 (2008) [Phys. At. Nucl. 71, 1730 (2008)].

    Google Scholar 

  34. A. J. Buchmann, H. Henning, and P. U. Sauer, Few-Body Syst. 21, 149 (1996).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Metrologicheskaya ul. 14b, 03680, Kyiv, Ukraine

    V. A. Babenko & N. M. Petrov

Authors
  1. V. A. Babenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. M. Petrov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. A. Babenko.

Additional information

Original Russian Text © V.A. Babenko, N.M. Petrov, 2011, published in Yadernaya Fizika, 2011, Vol. 74, No. 3, pp. 372–377.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Babenko, V.A., Petrov, N.M. On the correlation between the deuteron quadrupole moment, the deuteron asymptotic D/S ratio, and the S-wave normalization constant. Phys. Atom. Nuclei 74, 352–357 (2011). https://doi.org/10.1134/S1063778811030069

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063778811030069

Keywords

Search

Navigation