Symplectic Symmetry and the Ab Initio No-Core Shell Model
Abstract
The symplectic symmetry of eigenstates for the 0+gs in 16O and the 0+gs and lowest 2+ and 4+ configurations of 12C 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) model upon which the symplectic scheme is built.
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