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

Springer Science and Business Media LLC - Tập 27 - Trang 341-347 - 2006
S. M. Lenzi1, E. E. Maqueda2,3, P. von Brentano4
1Dipartimento di Fisica, Università degli Studi and INFN, Padova, Italy
2Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
3Departamento de Fısica, CNEA, San Martín, Argentina
4Institute für Kernphysik, Universität zu Köln, Köln, Germany

Tóm tắt

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.

Tài liệu tham khảo

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)