Sdg Interacting Boson Model Research Articles

Sdg interacting-boson model in the SU(3) scheme and its application to 168Er.

The sdg interacting-boson model is presented in the SU(3) tensor formalism. The interactions are decomposed according to their SU(3) tensor character. The existence of the SU(3)-seniority preserving operator is found to be important. The model is applied to $^{168}\mathrm{Er}$. Energy levels and electromagnetic transitions are calculated. This model is shown to solve the problem of anharmonicity regarding the excitation energy of the first ${K}^{\ensuremath{\pi}}$${=4}^{+}$ band relative to that of the first ${K}^{\ensuremath{\pi}}$${=2}^{+}$ one. E4 transitions are calculated to give different predictions from those by the quasiparticle-phonon nuclear model.

Signature of g boson in the interacting-boson model from g-factor variations.

Using projection techniques, we show that stretching occurs in the sdg interacting-boson model (IBM) but not in the sd model. As a result the sdg IBM allows g-factor variations in the ground-state band in accordance with recent experiments, and as such may provide a signature for the g boson.

Intrinsic states in the sdg interacting boson model

We give the intrinsic states explicitly in the boson representation in the framework of the sdg interacting boson model. Although they are only valid in the large- N limit, they are useful to estimate various physical quantities in well deformed nuclei. One can compare these results with those predicted in the IBM1 or in the IBM2.

The structure of the 168Er nucleus and the 166Er(t,p) 168 Er reaction in terms of the sdg interacting boson model

Extending the interacting boson model by incorporating besides s and d, also the g-boson, we can describe the population of positive parity states of 168Er in the 166Er(t,P) 168Er reaction rather well. In particular, the excitation of I,K π i = 4,3 + 1 ; 2,2 + 2; 0,0 + 3 and 0,0 + 4 states is much improved over the sd-IBM approach.