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Symplectic Symmetry and the Ab Initio No-Core Shell Model

Jerry P. Draayer·Tomas Dytrych·Kristina D. Sviratcheva·Chairul Bahri·James P. Vary
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Abstract

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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Jerry P. Draayer, Tomas Dytrych, Kristina D. Sviratcheva, Chairul Bahri, James P. Vary. 2007-03-19. Symplectic Symmetry and the Ab Initio No-Core Shell Model. https://arxiv.org/abs/nucl-th/0703059

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