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Prolate over oblate dominance in deformed nuclei as a consequence of the SU(3) symmetry and the Pauli principle

  • Dennis BonatsosEmail author
Open Access
Letter to the Editor

Abstract.

We show that the dominance of prolate over oblate shapes in even-even deformed nuclei can be derived from the SU(3) symmetry and the Pauli principle.

References

  1. 1.
    I. Hamamoto, B. Mottelson, Scholarpedia 7, 10693 (2012)CrossRefGoogle Scholar
  2. 2.
    J.P. Elliott, Proc. R. Soc. Ser. A 245, 128 (1958)ADSCrossRefGoogle Scholar
  3. 3.
    J.P. Elliott, Proc. R. Soc. Ser. A 245, 562 (1958)ADSCrossRefGoogle Scholar
  4. 4.
    A. Martinou, I.E. Assimakis, N. Minkov, D. Bonatsos, in Nuclear Theory, edited by M. Gaidarov, N. Minkov, Vol. 35 (Heron Press, Sofia, 2016) p. 224Google Scholar
  5. 5.
    S.G. Nilsson, Mat. Fys. Medd. K. Dan. Vidensk. Selsk. 29, issue No. 16 (1955)Google Scholar
  6. 6.
    S.G. Nilsson, I. Ragnarsson, Shapes and Shells in Nuclear Structure (Cambridge University Press, Cambridge, 1995)Google Scholar
  7. 7.
    B. Mottelson, Phys. Scr. T125 (2006) editorial, DOI:10.1088/0031-8949/2006/T125/E02
  8. 8.
    D. Bonatsos, A. Klein, Ann. Phys. (NY) 169, 61 (1986)ADSCrossRefGoogle Scholar
  9. 9.
    J.P. Draayer, Y. Leschber, S.C. Park, R. Lopez, Comput. Phys. Commun. 56, 279 (1989)ADSCrossRefGoogle Scholar
  10. 10.
    R. Pérez, J. Flores, Nucl. Data A 4, 265 (1968)ADSCrossRefGoogle Scholar
  11. 11.
    K.V. Krishna Brahmam, R.D. Ratna Raju, At. Data Nucl. Data Tables 16, 165 (1975)ADSCrossRefGoogle Scholar
  12. 12.
    R.D. Ratna Raju, J.P. Draayer, K.T. Hecht, Nucl. Phys. A 202, 433 (1973)ADSCrossRefGoogle Scholar
  13. 13.
    A. Bohr, B.R. Mottelson, Nuclear Structure, Vol. II: Nuclear Deformations (Benjamin, New York, 1975)Google Scholar
  14. 14.
    J.P. Elliott, J.A. Evans, P. Van Isacker, Phys. Rev. Lett. 57, 1124 (1986)ADSCrossRefGoogle Scholar
  15. 15.
    O. Castaños, J.P. Draayer, Y. Leschber, Z. Phys. A 329, 33 (1988)ADSGoogle Scholar
  16. 16.
    J.P. Draayer, S.C. Park, O. Castaños, Phys. Rev. Lett. 62, 20 (1989)ADSCrossRefGoogle Scholar
  17. 17.
    S. Sarantopoulou, A. Martinou, I.E. Assimakis, N. Minkov, D. Bonatsos, in Nuclear Theory, edited by M. Gaidarov, N. Minkov, Vol. 35 (Heron Press, Sofia, 2016) p. 236Google Scholar
  18. 18.
    N. Alkhomashi et al., Phys. Rev. C 80, 064308 (2009)ADSCrossRefGoogle Scholar
  19. 19.
    R.F. Casten, A.I. Namenson, W.F. Davidson, D.D. Warner, H.G. Borner, Phys. Lett. B 76, 280 (1978)ADSCrossRefGoogle Scholar
  20. 20.
    C. Wheldon, J. Garcés Narro, C.J. Pearson, P.H. Regan, Zs. Podolyák, D.D. Warner, P. Fallon, A.O. Macchiavelli, M. Cromaz, Phys. Rev. C 63, 011304(R) (2000)ADSCrossRefGoogle Scholar
  21. 21.
    Zs. Podolyák et al., Phys. Rev. C 79, 031305(R) (2009)ADSCrossRefGoogle Scholar
  22. 22.
    J. Jolie, A. Linnemann, Phys. Rev. C 68, 031301(R) (2003)ADSCrossRefGoogle Scholar
  23. 23.
    P. Sarriguren, R. Rodríguez-Guzmán, L.M. Robledo, Phys. Rev. C 77, 064322 (2008)ADSCrossRefGoogle Scholar
  24. 24.
    L.M. Robledo, R. Rodríguez-Guzmán, P. Sarriguren, J. Phys. G: Nucl. Part. Phys. 36, 115104 (2009)ADSCrossRefGoogle Scholar
  25. 25.
    K. Nomura, T. Otsuka, R. Rodríguez-Guzmán, L.M. Robledo, P. Sarriguren, P.H. Regan, P.D. Stevenson, Zs. Podolyák, Phys. Rev. C 83, 054303 (2011)ADSCrossRefGoogle Scholar
  26. 26.
    K. Nomura, T. Otsuka, R. Rodríguez-Guzmán, L.M. Robledo, P. Sarriguren, Phys. Rev. C 84, 054316 (2011)ADSCrossRefGoogle Scholar
  27. 27.
    J.P. Draayer, K.J. Weeks, K.T. Hecht, Nucl. Phys. A 381, 1 (1982)ADSCrossRefGoogle Scholar
  28. 28.
    J.N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997)ADSCrossRefGoogle Scholar

Copyright information

© The Author(s) 2017

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  1. 1.Institute of Nuclear and Particle PhysicsNational Centre for Scientific Research “Demokritos”Aghia ParaskeviGreece

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