Skip to main content

Applications of moment methods to finite nuclei

  • Conference paper
  • First Online:
Recent Progress in Many-Body Theories

Part of the book series: Lecture Notes in Physics ((LNP,volume 142))

Abstract

We summarize approaches to a number of many-body problems utilizing moment methods. We develop some tests with valence particle systems and some tests with the soluble Lipkin-Meshkov-Glick Hamiltonian in order to assess accuracy of the moment method approach for finite nuclei. We present results for the binding energy and for the elastic electron scattering cross section of 160 using รข realistic microscopic no-core effective Hamiltonian.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. For a recent review of moment methods and a variety of applications see: Moment Methods in Many-Fermion Systems, B. J. Dalton, S. M. Grimes, J. P. Vary and S. A. Williams, eds., Plenum Press (N.Y.) 1980.

    Google Scholarย 

  2. For a brief review of the difficulties with perturbation theory see: J. P. Vary, R. H. Belehrad and R. J. McCarthy, Phys. Rev. C21, 1626 (1980).

    Google Scholarย 

  3. J. B. French, in Nuclear Structure (North Holland, Amsterdam, 1967), p. 85; F. S. Chang, J. B. French and K. F. Ratcliff, Phys. Lett. 23, 251 (1965); J. B. French and K. F. Ratcliff, Phys. Rev. C3, 94 (1971).

    Google Scholarย 

  4. J. N. Ginocchio, Phys. Rev. C8, 135 (1973); S. Ayik and J. N. Ginocchio, Nucl. Phys. A221, 285 (1974).

    Google Scholarย 

  5. J. P. Vary, R. Belehrad and B. J. Dalton, Nucl. Phys. A328, 526 (1979).

    Google Scholarย 

  6. K. F. Ratcliff, Phys. Rev. C3, 117 (1971).

    Google Scholarย 

  7. H. J. Lipkin, N. Meshkov and A. J. Glick, Nucl. Phys. 62, 188 (1965).

    Google Scholarย 

  8. A. Klar and J. P. Vary, to be published.

    Google Scholarย 

  9. M. C. Cambiaggio, A. Klar, F. Margetan and J. P. Vary, to be published.

    Google Scholarย 

  10. F. Margetan, J. P. Vary and B. J. Dalton, to be published.

    Google Scholarย 

  11. J. P. Vary, ibid. p. 423.

    Google Scholarย 

  12. H. Kรผmmel, K. H. Lรผrhmann and J. G. Zabolitzky, Physics Reports 36C, 1 (1978).

    Google Scholarย 

  13. R. H. Belehrad, B. J. Dalton and J. P. Vary, to be published.

    Google Scholarย 

  14. D. Vautherin and D. M. Brink, Phys. Rev. C5, 626 (1972).

    Google Scholarย 

Download references

Author information

Authors and Affiliations

Authors

Editor information

J. G. Zabolitzky M. de Llano M. Fortes J. W. Clark

Rights and permissions

Reprints and permissions

Copyright information

ยฉ 1981 Springer-Verlag

About this paper

Cite this paper

Vary, J.P. (1981). Applications of moment methods to finite nuclei. In: Zabolitzky, J.G., de Llano, M., Fortes, M., Clark, J.W. (eds) Recent Progress in Many-Body Theories. Lecture Notes in Physics, vol 142. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0018181

Download citation

  • DOI: https://doi.org/10.1007/BFb0018181

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10710-1

  • Online ISBN: 978-3-540-38677-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics