English

Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei

Nuclear Theory 2008-11-26 v1

Abstract

Clear evidence for symplectic symmetry in low-lying states of 12^{12}C and 16^{16}O is reported. Eigenstates of 12^{12}C and 16^{16}O, determined within the framework of the no-core shell model using the JISP16 NNNN realistic interaction, typically project at the 85-90% level onto a few of the most deformed symplectic basis states that span only a small fraction of the full model space. The results are nearly independent of whether the bare or renormalized effective interactions are used in the analysis. The outcome confirms Elliott's \SU{3} model which underpins the symplectic scheme, and above all, points to the relevance of a symplectic no-core shell model that can reproduce experimental B(E2) values without effective charges as well as deformed spatial modes associated with clustering phenomena in nuclei.

Keywords

Cite

@article{arxiv.0704.1108,
  title  = {Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei},
  author = {Tomas Dytrych and Kristina D. Sviratcheva and Chairul Bahri and Jerry P. Draayer and James P. Vary},
  journal= {arXiv preprint arXiv:0704.1108},
  year   = {2008}
}

Comments

4 pages, 3 figures, to be published in Physics Review Letters