E2 transitions in the SU(3) formalism for N = Z nuclei of the sd and pf shells

Nuclear Structure and Reactions


We show that the SU(3) coupling scheme reproduces the data for E2 transitions in N = Z even-even nuclei both of the sd and the pf shells. The SU(3) results are compared with large-scale shell model calculations. Along the ground-state band-like structures, the increase of the B(E2) values with spin toward a maximum value and the subsequent fall with further increasing spin are reproduced rather well. The role of the quadrupole-quadrupole term of the nuclear residual interaction is stressed.


21.60.-n Nuclear-structure models and methods 21.60.Fw Models based on group theory 23.20.-g Electromagnetic transitions 


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  1. 1.
    J.P. Elliott, Proc. R. Soc. London, Ser. A 245, 128Google Scholar
  2. 2.
    J.P. Elliott, M. Harvey, Proc. R. Soc. London, Ser. A 272, 557 (1963).Google Scholar
  3. 3.
    C.E. Vargas, J.G. Hirsch, J.P. Draayer, Nucl. Phys. A 690, 409 (2001).CrossRefADSGoogle Scholar
  4. 4.
    V.G. Gueorguiev, J.P. Draayer, C.W. Johnoson, Phys. Rev. C 63, 014318 (2000).CrossRefADSGoogle Scholar
  5. 5.
    J.D. Vergados, Nucl. Phys. A 111, 681 (1968).ADSGoogle Scholar
  6. 6.
    Y. Akiyama, J.P. Draayer, Comput. Phys. Commun. 5, 405 (1973).CrossRefADSGoogle Scholar
  7. 7.
    M. Harvey, in Advances in Nuclear Physics, edited by M. Baranger, E. Vogt, Vol. 1 (Plenum Press, New York, 1968) p. 67.Google Scholar
  8. 8.
    A. Bohr, B. Mottelson, Nuclear Structure, Vol. II (Benjamin, New York, 1975) p. 94.Google Scholar
  9. 9.
    J.P. Elliott, P.G. Dawber, Symmetry in Physics, Vol. 2 (Oxford University Press, New York, 1979) Chapts. 17 and 18.Google Scholar
  10. 10.
    J.P. Elliott, A.M. Lane, Handbuch der Physik, edited by S. Flugge, Vol. 39 (Springer, Berlin, 1957) Sect. 18.Google Scholar
  11. 11.
    M. Hammermesh, Group Theory and its Application to Physical Problems (Addison-Wesley Publishing Company, Inc., Reading, Mass., 1962) Sect. 11-7.Google Scholar
  12. 12.
    E. Caurier, F. Nowacki, Acta Phys. Pol. 30, 705 (1999). ADSGoogle Scholar
  13. 13.
    B.A. Brown, B.H. Wildenthal, Annu. Rev. Nucl. Part. Sci. 38, 29 (1988).CrossRefADSGoogle Scholar
  14. 14.
    A. Poves, J. Sánchez-Solano, E. Caurier, F. Nowacki, Nucl. Phys. A 694, 157 (2001).CrossRefADSGoogle Scholar
  15. 15.
    D.R. Tilley, C. Cheves, J. Kelley, S. Raman, H. Weller, Nucl. Phys. A 636, 249 (1998).CrossRefADSGoogle Scholar
  16. 16.
    P.M. Endt, Nucl. Phys. A 633, 1 (1998).CrossRefADSGoogle Scholar
  17. 17.
    J.A. Cameron, B. Singh, Nucl. Data Sheets 88, 299 (1999).CrossRefADSGoogle Scholar
  18. 18.
    F. Brandolini, Nucl. Phys. A 642, 387 (1998).CrossRefADSGoogle Scholar
  19. 19.
    F. Glatz, P. Betz, J. Siefert, F. Heidinger, H. Röpke, Phys. Rev. Lett. 46, 1559 (1981).CrossRefADSGoogle Scholar
  20. 20.
    M. Dufour, A.P. Zuker, Phys. Rev. C 54, 1641 (1996)CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2006

Authors and Affiliations

  • S. M. Lenzi
    • 1
  • E. E. Maqueda
    • 2
    • 3
  • P. von Brentano
    • 4
  1. 1.Dipartimento di FisicaUniversità degli Studi and INFNPadovaItaly
  2. 2.Consejo Nacional de Investigaciones Científicas y TécnicasArgentina
  3. 3.Departamento de FısicaCNEASan MartínArgentina
  4. 4.Institute für KernphysikUniversität zu KölnKölnGermany

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