Discover
/
Article

The present status of the nuclear shell model

JUN 01, 1973
Useful though the shell model undoubtedly is for providing a correlation of the structure and properties of nuclei, theorists are still wondering why it works.
Elizabeth Urey Baranger

The nuclear shell model is the central idea of nuclear structure. Theorists work either backwards from it (by this I mean they try to justify and derive its properties by stating a basic many‐body Hamiltonian) or they work forward from it (they assume it is true and try to derive and justify the wide variety and complexity of nuclear properties including the well known phenomenon of nuclear collective motion). The shell model lurks somewhere in every paper on nuclear structure. The intense interest in the shell model among experimentalists for the last fifteen years has been due to the kinds of experiments that became possible during this time. It has been an era of direct reactions that characteristically excite simple degrees of freedom of the nucleus—just those most easily explained by the shell model. Without the possibility of these experiments and their analysis, the shell model might have been left mainly to the theorists, and they would have found it a very dry subject, without the wealth of experimental data they now have.

This article is only available in PDF format

References

  1. 1. G. S. Goldhaber, Phys. Rev. 90, 587 (1953) and private communication.https://doi.org/PHRVAO

  2. 2. M. G. Mayer, J. H. D. Jensen, Elementary Theory of Nuclear Shell Structure, Wiley, New York (1955).

  3. 3. H. A. Bethe, Ann. Rev. Nucl. Sci. 21, 93 (1971).https://doi.org/ARNUA8

  4. 4. B. D. Day, F. Coester, A. Goodman, Phys. Rev. 6, 1992 (1972).

  5. 5. J. W. Negele, Phys. Rev. C 1, 1260 (1970).https://doi.org/PRVCAN

  6. 6. K. T. R. Davies, R. J. McCarthy, P. U. Sauer, Phys. Rev. 6, 1461 (1972).

  7. 7. B. H. Brandow, Rev. Mod. Phys. 39, 771 (1967).https://doi.org/RMPHAT

  8. 8. A. P. Zucker, B. Buck, J. B. McGrory, Phys. Rev. Lett. 21, 39 (1968).https://doi.org/PRLTAO

  9. 9. K. T. R. Davies, R. J. McCarthy, Phys. Rev. 4, 81 (1971).

  10. 10. M. Johnson, M. Baranger, Annals of Phys. 62, 172 (1971).https://doi.org/ANPYA2

  11. 11. T. T. S. Kuo, G. E. Brown, Nucl. Phys. 85, 40 (1966).https://doi.org/NUPHA7

  12. 12. M. W. Kirson, Annals of Phys. 66, 624 (1971); https://doi.org/ANPYA2
    B. R. Barrett, M. W. Kirson, Nucl. Phys. A 148, 145 (1970).https://doi.org/NUPABL

  13. 13. J. Schiffer, in Proceedings of the Symposium on the Two‐Body Force in Nuclei, Gull Lake, Michigan, 1971, Plenum, New York (1972).

  14. 14. J. B. McGrory, B. H. Wildenthal, Phys. Rev. C7, 974 (1973).https://doi.org/PRVCAN

  15. 15. A. Bohr, B. Mottelson, preprint.

  16. 16. Nuclear Data Sheets; C. M. Lederer, J. M. Hollander, I. Perlman, Table of Isotopes, Wiley, New York (1968).

  17. 17. D. Larson, S. M. Austin, B. H. Wildenthal, Annual Report 1971–2, Cyclotron Lab. Michigan State University.

  18. 18. Nuclear Data Sheets, B5 (1971); https://doi.org/NDSBAL
    Nuclear Data Tables 9 (1971).https://doi.org/NTXAAJ

More about the authors

Elizabeth Urey Baranger, Sciences, University of Pittsburgh.

Related content
/
Article
Figuring out how to communicate with the public can be overwhelming. Here’s some advice for getting started.
/
Article
Amid growing investment in planetary-scale climate intervention strategies that alter sunlight reflection, global communities deserve inclusive and accountable oversight of research.
/
Article
Although motivated by the fundamental exploration of the weirdness of the quantum world, the prizewinning experiments have led to a promising branch of quantum computing technology.
/
Article
As conventional lithium-ion battery technology approaches its theoretical limits, researchers are studying alternative architectures with solid electrolytes.
This Content Appeared In
pt-cover_1973_06.jpeg

Volume 26, Number 6

Get PT in your inbox

pt_newsletter_card_blue.png
PT The Week in Physics

A collection of PT's content from the previous week delivered every Monday.

pt_newsletter_card_darkblue.png
PT New Issue Alert

Be notified about the new issue with links to highlights and the full TOC.

pt_newsletter_card_pink.png
PT Webinars & White Papers

The latest webinars, white papers and other informational resources.

By signing up you agree to allow AIP to send you email newsletters. You further agree to our privacy policy and terms of service.