Abstract.
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.
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References
J.P. Elliott, Proc. R. Soc. London, Ser. A 245, 128
J.P. Elliott, M. Harvey, Proc. R. Soc. London, Ser. A 272, 557 (1963).
C.E. Vargas, J.G. Hirsch, J.P. Draayer, Nucl. Phys. A 690, 409 (2001).
V.G. Gueorguiev, J.P. Draayer, C.W. Johnoson, Phys. Rev. C 63, 014318 (2000).
J.D. Vergados, Nucl. Phys. A 111, 681 (1968).
Y. Akiyama, J.P. Draayer, Comput. Phys. Commun. 5, 405 (1973).
M. Harvey, in Advances in Nuclear Physics, edited by M. Baranger, E. Vogt, Vol. 1 (Plenum Press, New York, 1968) p. 67.
A. Bohr, B. Mottelson, Nuclear Structure, Vol. II (Benjamin, New York, 1975) p. 94.
J.P. Elliott, P.G. Dawber, Symmetry in Physics, Vol. 2 (Oxford University Press, New York, 1979) Chapts. 17 and 18.
J.P. Elliott, A.M. Lane, Handbuch der Physik, edited by S. Flugge, Vol. 39 (Springer, Berlin, 1957) Sect. 18.
M. Hammermesh, Group Theory and its Application to Physical Problems (Addison-Wesley Publishing Company, Inc., Reading, Mass., 1962) Sect. 11-7.
E. Caurier, F. Nowacki, Acta Phys. Pol. 30, 705 (1999).
B.A. Brown, B.H. Wildenthal, Annu. Rev. Nucl. Part. Sci. 38, 29 (1988).
A. Poves, J. Sánchez-Solano, E. Caurier, F. Nowacki, Nucl. Phys. A 694, 157 (2001).
D.R. Tilley, C. Cheves, J. Kelley, S. Raman, H. Weller, Nucl. Phys. A 636, 249 (1998).
P.M. Endt, Nucl. Phys. A 633, 1 (1998).
J.A. Cameron, B. Singh, Nucl. Data Sheets 88, 299 (1999).
F. Brandolini, Nucl. Phys. A 642, 387 (1998).
F. Glatz, P. Betz, J. Siefert, F. Heidinger, H. Röpke, Phys. Rev. Lett. 46, 1559 (1981).
M. Dufour, A.P. Zuker, Phys. Rev. C 54, 1641 (1996)
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Lenzi, S.M., Maqueda, E.E. & von Brentano, P. E2 transitions in the SU(3) formalism for N = Z nuclei of the sd and pf shells. Eur. Phys. J. A 27, 341–347 (2006). https://doi.org/10.1140/epja/i2005-10271-3
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DOI: https://doi.org/10.1140/epja/i2005-10271-3