Studies of the electric dipole transitions of deformed rare-earth nuclei

Details Studies of the electric dipole transitions of deformed rare-earth nuclei Studies of the electric dipole transitions of deformed rare-earth nuclei

1999-06-05

arxiv.org/abs/nucl-th/9906015v1

Nucl.Phys. A658 (1999) 197-216

Physics

Nuclear Physics

Nuclear Theory

26 pages, 1 figure

Scientific paper

10.1016/S0375-9474(99)00335-8

Spectrum and electric dipole transition rates and relative intensities in $^{152-154}$Sm, $^{156-160}$Gd, $^{160-162}$Dy are studied in the framework of the interacting boson model with s,p,d,f bosons. It is found that E1 transition data among the low-lying levels are in good agreement with the SU(3) dynamical symmetry of the spdf interacting boson model proposed by Engel and Iachello to describe collective rotation with octupole vibration. These results show that these nuclei have SU(3) dynamic symmetry to a good approximation. Also in this work many algebraic expressions for electric dipole transitions in the SU(3) limit of the spdf-IBM have been obtained. These formulae together with the formulae given previously exhaust nearly all the E1 transitions for low-lying negative parity states. They are useful in analyzing experimental data.

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