Skip to main content

Algebraic Approaches to Nuclear Structure

  • Chapter

Part of the book series: NATO ASI Series ((NSSB,volume 289))

Abstract

The concept and application of algebraic models to nuclear structure is surveyed with emphasis on interpretations in terms of traditional geometric models. Recent studies relating to the relationship between β and γ vibrations in deformed nuclei, to the rigidity or softness of axial asymmetry, to signature splitting in octupole excitations, to O(6) quantum numbers and multi-phonon excitations, and to pseudo-SU(3) are discussed.

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. R. F. Casten and D. D. Warner, Rev. Mod. Phys. 60:389 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  2. J. P. Draayer, Nucl. Phys. A520:259c (1990).

    ADS  Google Scholar 

  3. A. Arima and F. Iachello, Phys. Rev. Lett. 35:1069 (1975).

    Article  ADS  Google Scholar 

  4. F. Iachello and A. Arima, “The Interacting Boson Model,” Cambridge University Press, Cambridge (1987).

    Book  Google Scholar 

  5. J. A. Cizewski et al., Phys. Rev. Lett. 40:167 (1978); R. F. Casten and P. von Brentano, Phys. Lett. 152B:22 (1985).

    Google Scholar 

  6. R. F. Casten, P. von Brentano, and A.M.I. Hague, Phys. Rev. C31:1991 (1985).

    ADS  Google Scholar 

  7. A. Aprahamian et al., Phys. Rev. Lett. 59:535 (1987).

    Article  ADS  Google Scholar 

  8. D. D. Warner and R F. Casten, Phys. Rev. Lett. 48:1385 (1982); Phys. Rev. C28:1798 (1983).

    Google Scholar 

  9. W.-T. Chou, R. F. Casten, and P. von Brentano, to be published.

    Google Scholar 

  10. R. F. Casten, A. Aprahamian, and D. D. Warner, Phys. Rev. C29:356 (1984).

    ADS  Google Scholar 

  11. A. S. Davydov and G. F. Filippov, Nucl. Phys. 8:237 (1958).

    Article  Google Scholar 

  12. O. Castanos, A. Frank, and P. Van Isacker, Phys. Rev. Lett. 54:263 (1984).

    Article  ADS  Google Scholar 

  13. N. V. Zamfir and R. F. Casten, Phys. Lett., in press.

    Google Scholar 

  14. L. Wilets and M. Jean, Phys. Rev. 102:788 (1956).

    Article  ADS  MATH  Google Scholar 

  15. R. F. Casten, “Nuclear Structure from a Simple Perspective,” Oxford University Press, Oxford (1990), p. 195.

    Google Scholar 

  16. K. Heyde et al., Phys. Rev. C29:1420 (1984).

    ADS  Google Scholar 

  17. U. Neuneyer et al., Z. Phys. A336:2461 (1990); W. Lieberz et al., Z. Phys. A330:221 (1988); K. Schiffer et al., Z. Phys. A327:265 (1987); W. Lieberz et al., Phys. Lett. 240B:38 (1990); W. Zipper et al., Nucl. Phys. A504:36 (1989).

    Google Scholar 

  18. P. von Brentano et al., in: Proc. Int. Conf. on High Spin Physics and Gamma-soft Nuclei, J. X. Saladin, R. A. Sorensen, and C. M. Vincent, eds., World Scientific, Singapore (1991), p. 344; P. von Brentano et al. in Proc. Predeal Intern. Summer School on Recent Advances in Nuclear Structure, World Scientific, Singapore, in press.

    Google Scholar 

  19. R. F. Casten, N. V. Zamfir, P. von Brentano, F. Seiffert, and W. Lieberz, to be published.

    Google Scholar 

  20. H. G. Börner, J. Jolie, S. Robinson, R. F. Casten, and J. A. Cizewski, Phys. Rev. C42:R2271 (1990).

    ADS  Google Scholar 

  21. H. G. Börner et al., Phys. Lett. 215B:45 (1988); H. G. Börner, J. Jolie, F. Hoyler, and S. Robinson in Contemporary Topics in Nuclear Structure Physics, R. F. Casten, A. Frank, S. Pittel, and M. Moshinsky, eds., World Scientific, Singapore (1988), p. 27: J. Jolie, S. J. Robinson, H. G. Börner, and P. Schillebeeckx in Spectroscopy of Heavy Nuclei, IOP Conf. Ser. 105:179 (1990).

    Google Scholar 

  22. J. Jolie, these proceedings.

    Google Scholar 

  23. H. G. Börner et al., Phys. Rev. Lett. 66:691 (1991).

    Article  ADS  Google Scholar 

  24. H. G. Börner et al., Phys. Rev. C42:R2271 (1990).

    ADS  Google Scholar 

  25. J. P. Elliott, Proc. R. Soc. London, Ser. A245:128 (1958) and Ser. A245:562 (1958).

    Google Scholar 

  26. R. D. Ratna-Raju, J. P. Draayer, and K. T. Hecht, Nucl. Phys. A202:433 (1973).

    ADS  Google Scholar 

  27. J. P. Draayer and H. A. Naqui in High Spin Physics and Gamma-Soft Nuclei, J. X. Saladin, R. A. Sorensen, and C. M. Vincent, eds., World Scientific, Singapore (1991), p. 94; J. P. Draayer in Understanding the Variety of Nuclear Excitations, A. Covello, ed., World Scientific, Singapore (1991), p. 439.

    Google Scholar 

  28. P. J. Nolan and P. J. Twin, Ann. Rev. Nucl. Part. Sci. 38:533 (1988), and references therein; W. Nazarewicz, P. J. Twin, P. Fallon, and J. D. Garrett, Phys. Rev. Lett. 64:1654 (1990); K. Zuber et al., Phys. Lett., to be published.

    Google Scholar 

  29. A. Gelberg, P. von Brentano, and R. F. Casten, J. Phys. G16:L143 (1990).

    ADS  Google Scholar 

  30. T. Byrski et al., Phys. Rev. Lett. 64:1650 (1990).

    Article  ADS  Google Scholar 

  31. O. Castanos, P. O. Hess, J. P. Draayer, and P. Rochford, Nucl. Phys. A524:469 (1991); J. P. Draayer, Inst. Phys. Conf. Ser. 105:445 (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer Science+Business Media New York

About this chapter

Cite this chapter

Casten, R.F. (1992). Algebraic Approaches to Nuclear Structure. In: Vergnes, M., Sauvage, J., Heenen, PH., Duong, H.T. (eds) Nuclear Shapes and Nuclear Structure at Low Excitation Energies. NATO ASI Series, vol 289. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3342-9_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-3342-9_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6473-3

  • Online ISBN: 978-1-4615-3342-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics