To test the possible usefulness of the pseudo SU(3) coupling scheme a few nuclear properties are examined which can be expected to be governed largely by the (1g 7 22d 3 22d 3 23s 1 2) part of the proton configuration for odd-Z nuclei and the (1h 9 22f 7 22f 5 23p 3 23p 1 2) part of the neutron configuration for odd-N nuclei. The equivalence between these configurations and pseudo oscillator shells (f̃ 7 2f̃ 5 2p̃ 3 2p̃ 1 2) and (g̃ 9 2g̃ natural-parity rotational bands in deformed nuclei can be described approximately by many-particle states which are coupled to leading pseudo SU(3) representation (maximum possible value of 2 \ ̃gl + \ ̃gm) of these configurations. The simple model in which the natural-parity part of the proton and neutron configurations are coupled to leading pseudo SU(3) representation predicts ground state magnetic moments in remarkably good agreement with experiment. The strong hindrance factors observed in certain interband M1 transition probabilities are, however, not predicted by this model. The diagonalization of a simple effective interaction within the leading pseudo SU(3) representation leads to spectra with the experimentally observed ordering of the K-bands. (The case of the Eu and Tm isotopes has been examined in some detail since these are expected to have leading pseudo SU(3) representations with the same quantum numbers ( \ ̃gl \ ̃gm) but with quite different ordering of the K-bands.). © 1973.
Publication Source (Journal or Book title)
Nuclear Physics, Section A
Raju, R., Draayer, J., & Hecht, K. (1973). Search for a coupling scheme in heavy deformed nuclei: The pseudo SU(3) model. Nuclear Physics, Section A, 202 (3), 433-466. https://doi.org/10.1016/0375-9474(73)90635-0