A multi-shell extension of the Elliott SU(3) model, the SU(3) symmetry-adapted version of the no-core shell model (SA-NCSM), is described. The significance of this SA-NCSM emerges from the physical relevance of its SU(3)-coupled basis, which - while it naturally manages center-of-mass spuriosity - provides a microscopic description of nuclei in terms of mixed shape configurations. Since typically configurations of maximum spatial deformation dominate, only a small part of the model space suffices to reproduce the low-energy nuclear dynamics and hence, offers an effective symmetry-guided framework for winnowing of model space. This is based on our recent findings of low-spin and high-deformation dominance in realistic NCSM results and, in turn, holds promise to significantly enhance the reach of ab initio shell models.
Publication Source (Journal or Book title)
Journal of Physics: Conference Series
Draayer, J., Dytrych, T., & Launey, K. (2011). Ab initio symmetry-adapted no-core shell model. Journal of Physics: Conference Series, 322 (1) https://doi.org/10.1088/1742-6596/322/1/012001