Towards a shell-model description of the low-energy structure of deformed nuclei II. Electromagnetic properties of collective M1 bands

Journal Article · Tue Dec 01 00:00:00 EST 1987 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(87)90047-9· OSTI ID:5641579

Castanos, O; Draayer, J P; Leschber, Y

A shell-model theory, called the pseudo SU(3) model, which was proposed previously for giving the structure of low-lying states in heavy deformed nuclei is used to predict the number of 1/sup +/ states with strong M1 transitions to ground states for the nuclei /sup 154/Sm, /sup 156//sup --//sup 160/Gd, /sup 164/Dy, /sup 168/Er, /sup 174/Yb of the rare earth region and the actinide species /sup 232/Th, /sup 234//sup --//sup 240/U, /sup 242/Pu. Results are also given for E2 and M3 transition strengths in these nuclei. The measures provide a rigorous test of the theory, which in reality is a many-particle Nilsson scheme, because the real M1, E2, and M3 operators are used in the calculations. It is found that the results for E2 strengths using the real quadrupole operator Q-script differ by less than 5 from those of calculations that use the operator Q-italic-tilde which is a generator of the pseudo SU(3) symmetry. This is so even for weak interband transitions. To further test the theory additional experimental information on the 2/sup +//sub ..gamma../ states is necessary. In particular, the 1/sup +/ ..-->.. 2/sup +//sub ..gamma../ decay strengths are needed to differentiate between theories for the structure of the giant M1 states. copyright 1987 Academic Press, Inc.

• Research Organization: Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001
• OSTI ID: 5641579
• Journal Information: Ann. Phys. (N.Y.); (United States), Vol. 180:2
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DEFORMED NUCLEI
COLLECTIVE EXCITATIONS
M1-TRANSITIONS
SHELL MODELS
SYMMETRY GROUPS
HEAVY NUCLEI
MULTIPOLE TRANSITIONS
NILSSON-MOTTELSON MODEL
QUANTUM OPERATORS
SU-3 GROUPS
ENERGY-LEVEL TRANSITIONS
EXCITATION
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
NUCLEI
SU GROUPS
653001* - Nuclear Theory- Nuclear Structure
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