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

Dytrych, Tomas; Sviratcheva, Kristina D.; Bahri, Chairul; Draayer, Jerry P.; Vary, James P.

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

Authors

Dytrych, Tomas

Sviratcheva, Kristina D.

Bahri, Chairul

Draayer, Jerry P.

Vary, James P.

Description

Clear evidence for symplectic symmetry in low-lying states of $^{12}$C and $^{16}$O is reported. Eigenstates of $^{12}$C and $^{16}$O, determined within the framework of the no-core shell model using the JISP16 $NN$ 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.
4 pages, 3 figures, to be published in Physics Review Letters