Skip to main content

Contact Pairing Interaction for the Hartree-Fock-Bogoliubov Calculations

  • Chapter

Part of the book series: NATO Science Series ((NAII,volume 53))

Abstract

Properties of density-dependent contact pairing interactions in nuclei are discussed. It is shown that the pairing interaction that is intermediate between surface and volume pairing forces gives the pairing gaps that are compatible with the experimental odd-even mass staggering. Results of the deformed Hartree-Fock-Bogoliubov calculations for this “mixed” pairing interaction, and using the transformed harmonic oscillator basis, are presented.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Dobaczewski and W. Nazarewicz, Phil. Trans. R. Soc. Lond. A 356, 2007 (1998).

    ADS  Google Scholar 

  2. Nuclear Physics: The Core of Matter, The Fuel of Stars (National Academy Press, Washington, D.C. 1999); http://www.nap.edu/html/nucphys/pdf.html.

    Google Scholar 

  3. RIA Physics White Paper, Durham Workshop Report, July 2000; http://www.nscl.msu.edu/conferences/riaws00/ria-whitepaper-2000.pdf.

    Google Scholar 

  4. R.G. Casten and B.M. Sherrill, Prog. Part. Nucl. Phys. 45, S171 (2000).

    Article  ADS  Google Scholar 

  5. J. Dobaczewski, H. Flocard and J. Treiner, Nucl. Phys. A422, 103 (1984).

    ADS  Google Scholar 

  6. J. Dobaczewski, W. Nazarewicz, T.R. Werner, J.-F. Berger, C.R. Chinn, and J. Dechargé, Phys. Rev. C53, 2809 (1996).

    ADS  Google Scholar 

  7. P. Ring, Prog. Part. Nucl. Phys. 37, 193 (1996).

    Article  ADS  Google Scholar 

  8. V.E. Oberacker, A.S. Umax, J. Chen, and E. Teran, nucl-th/0103038.

    Google Scholar 

  9. J. Terasaki, P.-H. Heenen, H. Flocard, and P. Bonche, Nucl. Phys. A600, 371 (1996).

    ADS  Google Scholar 

  10. J. Terasaki, H. Flocard, P.-H. Heenen, and P. Bonche, Nucl. Phys. A621, 706 (1997).

    ADS  Google Scholar 

  11. N. Tajima, XVII RCNP International Symposium on Innovative Computational Methods in Nuclear Many-Body Problems, eds. H. Horiuchi et al. (World Scientific, Singapore, 1998) p. 343.

    Google Scholar 

  12. M.V. Stoitsov, P. Ring, D. Vretenar, and G.A. Lalazissis, Phys. Rev. C58, 2086 (1998).

    ADS  Google Scholar 

  13. M.V. Stoitsov, W. Nazarewicz, and S. Pittel, Phys. Rev. C58, 2092 (1998).

    ADS  Google Scholar 

  14. M.V. Stoitsov, J. Dobaczewski, P. Ring, and S. Pittel, Phys. Rev. C61, 034311 (2000).

    ADS  Google Scholar 

  15. I.Zh. Petkov and M.V. Stoitsov, Compt. Rend. Bulg. Acad. Sci. 34, 1651 (1981)

    Google Scholar 

  16. Theor. Math. Phys. 55, 584 (1983)

    Google Scholar 

  17. Sov. J. Nucl. Phys. 37, 692 (1983).

    Google Scholar 

  18. M.V. Stoitsov and I.Zh. Petkov, Ann. Phys. (NY) 184, 121 (1988).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. I.Zh. Petkov and M.V. Stoitsov, Nuclear Density Functional Theory, Oxford Studies in Physics, (Clarendon Press, Oxford, 1991).

    Google Scholar 

  20. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, Berlin, 1980).

    Book  Google Scholar 

  21. D. Gogny, Nucl. Phys. A237, 399 (1975).

    MathSciNet  ADS  Google Scholar 

  22. M. Girod and B. Grammaticos, Phys. Rev. C27, 2317 (1983).

    ADS  Google Scholar 

  23. J.L. Egido, H.-J. Mang, and P. Ring, Nucl. Phys. A334, 1 (1980).

    ADS  Google Scholar 

  24. J.L. Egido, J. Lessing, V. Martin, and L.M. Robledo, Nucl. Phys. A594, 70 (1995).

    ADS  Google Scholar 

  25. H. Kucharek and P. Ping, Z. Phys. A339, 23 (1991).

    ADS  Google Scholar 

  26. A.V. Afanasjev, J. König, and P. Ring, Nucl. Phys. A608, 107 (1996).

    ADS  Google Scholar 

  27. A. Bulgac and Y. Yu, nucl-th/0106062.

    Google Scholar 

  28. A. Bulgac, nucl-th/0108014.

    Google Scholar 

  29. E. Chabanat, P. Bonche, P. Haensel, J. Meyer, and F. Schaeffer, Nucl. Phys. A627 (1997) 710.

    ADS  Google Scholar 

  30. S.T. Belyaev, A.V. Smirnov, S.V. Tolokonnikov, and S.A. Fayans, Sov. J. Nucl. Phys. 45, 783 (1987).

    Google Scholar 

  31. J. Dobaczewski, W. Nazarewicz, and P.-G. Reinhard, nucl-th/0103001; Nucl. Phys. A, in press.

    Google Scholar 

  32. J. Dobaczewski, W. Nazarewicz, and T.R. Werner, Physica Scripta T56, 15 (1995).

    Article  ADS  Google Scholar 

  33. W. Satula, J. Dobaczewski, and W. Nazarewicz, Phys. Rev. Lett. 81, 3599 (1998).

    Article  ADS  Google Scholar 

  34. J. Dobaczewski, P. Magierski, W. Nazarewicz, W. Satula, and Z. Szymański, Phys. Rev. C63 024308, (2001).

    ADS  Google Scholar 

  35. A.V. Avdeenkov and S.P. Kamerdzhiev, JETP Letters 69, 715 (1999).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Dobaczewski, J., Nazarewicz, W., Stoitsov, M.V. (2002). Contact Pairing Interaction for the Hartree-Fock-Bogoliubov Calculations. In: Nazarewicz, W., Vretenar, D. (eds) The Nuclear Many-Body Problem 2001. NATO Science Series, vol 53. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0460-2_25

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0460-2_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0463-6

  • Online ISBN: 978-94-010-0460-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics