Symplectic Symmetry and the Ab Initio No-Core Shell Model

Details Symplectic Symmetry and the Ab Initio No-Core Shell Model Symplectic Symmetry and the Ab Initio No-Core Shell Model

2007-03-19

arxiv.org/abs/nucl-th/0703059v1

Physics

Nuclear Physics

Nuclear Theory

6 pages, 4 figures, Proceedings of the XXX Symposium on Nuclear Physics, January 3-6, 2007, Cocoyoc, Mexico. to be published i

Scientific paper

The symplectic symmetry of eigenstates for the $0^+_{gs}$ in $^{16}$O and the $0^+_{gs}$ and lowest $2^+$ and $4^+$ configurations of $^{12}$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 $\mathrm{SU}(3)$ model upon which the symplectic scheme is built.

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