Skip to main content

Abstract

Motivated by the need to test the adequacy of realistic nucleon-nucleon potentials for yielding the dynamics of many-nucleon systems we develop effective Iiamiltonians for large-space moment method studies. These Hamiltonians consist of the relative kinetic energy operator and an exact Brueckner G-matrix acting between all pairs of nucleons in the nucleus. That is, there is no core and the nuclear properties are obtained through moment methods as a function of the size of the model space. The primary initial emphasis is to obtain the binding energy and comparisons are made with results of the coupled-cluster or exp(s) calculations. We find a systematic but slow decrease in the importance of three and higher body effective forces as the model space is increased. The results with the Reid soft core interaction for the binding energy of 160 appear to be converging close to the exp(s) results. Further tests of the moment methods themselves are indicated as well as the desirability of increasing still further the model space for the no-core studies.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. B. R. Barrett and M. W. Kirson, Nucl. Phys. A148, 145 (1979); A196, 638 (1972).

    ADS  Google Scholar 

  2. T. H. Schucan and H. A. Weidenmuller, Ann. Phys. (N.Y.) 73, 108 (1972); 76, 483 (1973).

    Article  MathSciNet  ADS  Google Scholar 

  3. J. P. Vary, P. U. Sauer and C. W. Wong, Phys. Rev. C7, 1776 (1973).

    ADS  Google Scholar 

  4. C. L. Kung, T. T. S. Kuo and K. F. Ratcliff, Phys. Rev. C19, 1063 (1979).

    ADS  Google Scholar 

  5. M. S. Sandel, R. J. McCarthy, B. R. Barrett and J. P. Vary, Phys. Rev. C17, 777 (1978).

    ADS  Google Scholar 

  6. C. Bloch and J. Horowitz, Nucl. Phys. 8, 91 (1958).

    Article  MATH  Google Scholar 

  7. K. A. Brueckner, Phys. Rev. 97, 1353 (1955).

    Article  ADS  MATH  Google Scholar 

  8. B. H. Brandow, Rev. Mod. Phys. 39, 771 (1967).

    Article  ADS  Google Scholar 

  9. See, for example, J. P. Vary and S. N. Yang, Phys. Rev. C15, 1545 (1977).

    Google Scholar 

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

    Article  ADS  Google Scholar 

  11. A. L. Goodman, J. P. Vary and R. A. Sorensen, Phys. Rev. C13, 1674 (1976).

    ADS  Google Scholar 

  12. J. P. Vary, R. H. Belehrad and R. J. McCarthy, preprint 1979.

    Google Scholar 

  13. W. J. Baldridge and B. J. Dalton, Phys. Rev. C18, 539 (1978).

    ADS  Google Scholar 

  14. W. Y. Ng and S. S. M. Wong, Can. J. Phys. 54, 2367 (1967).

    Article  ADS  Google Scholar 

  15. B. J. Dalton, J. P. Vary and W. J. Baldridge, Phys. Rev. Lett. 38, 1348 (1977).

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

  17. S. M. Grimes, C. H. Poppe, C. Wong and B. J. Dalton, Phys. Rev. C18, 1100 (1978).

    Google Scholar 

  18. B. J. Dalton, W. J. Baldridge and J. P. Vary, Phys. Rev. C20, 1908 (1979).

    ADS  Google Scholar 

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

    Google Scholar 

  20. M. Soyeur and A. Zuker, to be published.

    Google Scholar 

  21. H. Kümmel, K. H. Lurhmann and J. G. Zabolitsky, Physics Reports 36C, 1 (1978), and references therein. We have adjusted their results to approximately remove the Coulomb contribution to the binding energy.

    Google Scholar 

  22. B. J. Dalton, invited talk at this conference.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Plenum Press, New York

About this chapter

Cite this chapter

Vary, J.P. (1980). Realistic Hamiltonians for No-Core Moment Method Studies. In: Dalton, B.J., Grimes, S.M., Vary, J.P., Williams, S.A. (eds) Theory and Applications of Moment Methods in Many-Fermion Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3120-9_23

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-3120-9_23

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3122-3

  • Online ISBN: 978-1-4613-3120-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics