Skip to main content
Log in

A self-consistent shell model of atomic nuclei and two-nucleus systems

  • Proceedings of the International Conference “Nucleus-2011” (The 61st International Conference on Nuclear Spectroscopy and the Structure of Atomic Nuclei)
  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A shell model with the potential energy of nucleons depending nonlinearly on the nucleon concentration is proposed. The iterative scheme for solving the problem converges and ensures the similarity of theoretical and experimental root-mean-square radii of atomic nuclei.

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. Bohr, A. and Mottelson, B.R., Nuclear Structure, New York, Amsterdam: W.A. Benjamin, 1974; Moscow: Mir, 1977.

    Google Scholar 

  2. Shirokov, Yu.M. and Yudin, N.P., Yadernaya fizika (Nuclear Physics), Moscow: Nauka, 1980.

    Google Scholar 

  3. Samarin, V.V. and Samarin, K.V., Bull. Russ. Acad. Sci. Phys., 2010, vol. 74, no. 4, p. 567.

    Article  MATH  Google Scholar 

  4. Samarin, V.V. and Samarin, K.V., Bull. Russ. Acad. Sci. Phys., 2011, vol. 75, no. 7, p. 964.

    Article  Google Scholar 

  5. Database on Low-Energy Nuclear Reaction: Nuclear Reaction Video. http://nrv.jinr.ru/nrv/

  6. Fedyanin, V.K., Elektromagnitnaya struktura yader i nuklonov (Electromagnetic Structure of Nuclei and Nucleones), Moscow: Vysshaya shkola, 1967.

    Google Scholar 

  7. Samarin, V.V., Bull. Russ. Acad. Sci. Phys., 2011, vol. 75, no. 7, p. 885.

    Article  Google Scholar 

  8. Davydov, A.S., Kvantovaya mekhanika (Quantum Mechanics), Moscow: Nauka, 1973.

    Google Scholar 

  9. Problemy teoreticheskoi fiziki (Problems of Theoretical Physics), issue 1: Kvantovaya mekhanika (Quantum Mechanics), Veselov, M.G., Ed., Leningrad: Izd. LGU, 1973.

    Google Scholar 

  10. Langanke, K., Maruhn, J.A., and Koonin, S.E., in Computational Nuclear Physics 1. Nuclear Structure, Koonin, S.E., Ed., Berlin, Heidelberg, New York: Springer-Verlag, 1991.

    Google Scholar 

  11. Peierls, R., Surprises in Theoretical Physics, Princeton, NJ: Princeton Univ. Press, 1979; Moscow: Nauka, 1988.

    Google Scholar 

  12. Vainberg, M.M., Funktsional’nyi analiz (Functional Analysis), Moscow: Prosveshchenie, 1979.

    Google Scholar 

  13. Satcher, G.R. and Love, W.G., Phys. Rep., 1979, vol. 55, no. 3, p. 185.

    ADS  Google Scholar 

  14. Alvarez, M.A.G., et al., Nucl. Phys. A, 1999, vol. 635, p. 187.

    Article  ADS  Google Scholar 

  15. Ćwiok, S., et al., Comput. Phys. Commun., 1987, vol. 46, p. 379.

    Article  ADS  Google Scholar 

  16. Patyk, Z. and Sobiczewski, A., Nucl. Phys. A, 1991, vol. 533, p. 132.

    Article  ADS  Google Scholar 

  17. Samarin, V.V., Phys. Atom. Nucl., 2010, vol. 73, p. 1416.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. V. Samarin.

Additional information

Original Russian Text © V.V. Samarin, 2012, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2012, Vol. 76, No. 8, pp. 966–970.

About this article

Cite this article

Samarin, V.V. A self-consistent shell model of atomic nuclei and two-nucleus systems. Bull. Russ. Acad. Sci. Phys. 76, 866–870 (2012). https://doi.org/10.3103/S1062873812080230

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873812080230

Keywords

Navigation