English

Symplectic Symmetry and the Ab Initio No-Core Shell Model

Nuclear Theory 2007-05-23 v1

Abstract

The symplectic symmetry of eigenstates for the 0gs+0^+_{gs} in 16^{16}O and the 0gs+0^+_{gs} and lowest 2+2^+ and 4+4^+ configurations of 12^{12}C that are well-converged within the framework of the no-core shell model with the JISP16 realistic interaction is examined. These states are found to project at the 85-90% level onto very few symplectic representations including the most deformed configuration, which confirms the importance of a symplectic no-core shell model and reaffirms the relevance of the Elliott SU(3)\mathrm{SU}(3) model upon which the symplectic scheme is built.

Keywords

Cite

@article{arxiv.nucl-th/0703059,
  title  = {Symplectic Symmetry and the Ab Initio No-Core Shell Model},
  author = {Jerry P. Draayer and Tomas Dytrych and Kristina D. Sviratcheva and Chairul Bahri and James P. Vary},
  journal= {arXiv preprint arXiv:nucl-th/0703059},
  year   = {2007}
}

Comments

6 pages, 4 figures, Proceedings of the XXX Symposium on Nuclear Physics, January 3-6, 2007, Cocoyoc, Mexico. to be published in Revista Mexicana de Fisica

R2 v1 2026-07-22T18:38:16.520Z