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Deformation, Clusterization, Fission and SU(3)

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Frontier Topics in Nuclear Physics

Part of the book series: NATO ASI Series ((NSSB,volume 334))

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Abstract

The SU(3) group, being the symmetry group of the harmonic oscillator problem, entered the nuclear physics through the shell model of light nuclei1. In addition to playing an important role in the shell model, it helped to establish the close relation between the quadrupole deformation and clusterization in some transparent cases2,3. The purpose of this lecture is to draw attention to the fact, that similar symmetry considserations can be very interesting and of practical use in a couple of new territories as well. We consider here examples for the clusterization of light nuclei in their ground-state region, as well as in highly excited states (molecular resonances), interrelation between the superdeformed and cluster configurations, binary fission modes of light nuclei, and heavy cluster radioactivity. The SU(3) symmetry appears in these investigations as the dynamical symmetry of the semimicroscopic algebraic cluster model4,5.

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References

  1. J. P. Elliott, Proc. Roy. Soc. A 245, 128 and 562 (1958)

    Article  ADS  Google Scholar 

  2. K. Wildermuth and Th. Kanellopoulos, Nucl. Phys. 7, 150 (1958)

    Article  Google Scholar 

  3. B. F. Bayman and A. Bohr, Nucl. Phys. 9, 596 (1958/59)

    Article  Google Scholar 

  4. J. Cseh in: Proc. Int. Conf. on Nuclear and Atomic Clusters ,Turku, 1991, edited by M. Brenner, T. Lönnroth, F. B. Malik, (Springer, Berlin)

    Google Scholar 

  5. J. Cseh, Phys. Lett. B 281, 173 (1992)

    Article  ADS  Google Scholar 

  6. J. Cseh and G. Levai, Ann. Phys. (N. Y.) ,in press

    Google Scholar 

  7. K. Wildermuth and Y. C. Tang, A Unified Theory of the Nucleus ,(Acad. Press, New York, 1977)

    Book  Google Scholar 

  8. J. P. Draayer, Nucl. Phys. A 520 ,259c (1990)

    Article  ADS  Google Scholar 

  9. C. Y. Wong Phys. Lett. B 32, 668 (1970)

    Article  ADS  Google Scholar 

  10. F. Iachello and A. Arima, The Interacting Boson Model ,(Cambridge Univ. Press, Cambridge,1987)

    Book  Google Scholar 

  11. M. Harvey in: Proc. 2nd Conf. on Clustering Phenomena in Nuclei ,College Park, 1975, USDERA report ORO-4856-26 (1975)

    Google Scholar 

  12. E. P. Wigner, Phys. Rev. 51, 106 (1937)

    Article  ADS  Google Scholar 

  13. F. Iachello and R. D. Levine, J. Chem. Phys. 11 ,3046 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  14. H. Horiuchi and K. Ikeda, Cluster Models and Other Topics ,(World Scientific, Singapore, 1986)

    Google Scholar 

  15. J. Cseh and G. Levai, Phys. Rev. C 38, 972 (1988)

    Article  ADS  Google Scholar 

  16. J. Cseh, J. Phys. Soc. Jpn. Suppl. 58, 604 (1989)

    Google Scholar 

  17. J. P. Draayer and Y. Akiyama, J. Math. Phys. 14, 1904 (1973)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. B. G. Wybourne, Classical Groups for Physicists ,(Wiley, New York, 1974)

    MATH  Google Scholar 

  19. K. Varga and J. Cseh, Phys. Rev. C 48, 602 (1993)

    Article  ADS  Google Scholar 

  20. J. Cseh and W. Scheid, J. Phys. G 18, 1419 (1992)

    Article  ADS  Google Scholar 

  21. G. Leander and S. E. Larsson, Nucl. Phys. A 239, 93 (1975)

    Article  ADS  Google Scholar 

  22. J. Cseh, J. Phys. G 19, L97 (1993)

    Article  ADS  Google Scholar 

  23. G. Levai, J. Cseh and W. Scheid, Phys. Rev. C 46, 548 (1992)

    Article  ADS  Google Scholar 

  24. J. Cseh, G. Levai and W. Scheid, Phys. Rev. C 48, 1724 (1993)

    Article  ADS  Google Scholar 

  25. J. Cseh, Z. Hornyak and Sz. Vattamany, unpublished

    Google Scholar 

  26. J. Cseh, R.K. Gupta and W. Scheid, Phys. Lett. B 299, 205 (1993)

    Article  ADS  Google Scholar 

  27. J. Cseh, J. Phys. G 19, L63 (1993)

    Article  ADS  Google Scholar 

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Cseh, J., Lévai, G., Varga, K., Gupta, R.K., Scheid, W. (1994). Deformation, Clusterization, Fission and SU(3). In: Scheid, W., Sandulescu, A. (eds) Frontier Topics in Nuclear Physics. NATO ASI Series, vol 334. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2568-4_41

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  • DOI: https://doi.org/10.1007/978-1-4615-2568-4_41

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6097-1

  • Online ISBN: 978-1-4615-2568-4

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