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Highly deformed modes in the ab initio symplectic no-core shell model
T Dytrych, K D Sviratcheva, C Bahri, J P Draayer and J P Vary 2008 J. Phys. G: Nucl. Part. Phys. 35 095101 (12pp)   doi: 10.1088/0954-3899/35/9/095101

Alpha-clustering vs giant E2 excitations in ¹⁶O

Abstract. The ( alpha +¹²C)-cluster model basis for ¹⁶O is compared with band systems generated by the infinitesimal operators of the noncompact group Sp(6,R), or more specifically its subgroup Sp(2,R) which generates SU(3) ladders ( lambda ₀ mu ₀) ( lambda ₀+2, mu ₀) ( lambda ₀+4, mu ₀)... based on np-nh states of the largest possible intrinsic deformation with n=0,...,5. Although the overlaps between the first symplectic excitations (essentially giant E2 excitations) and the corresponding alpha -cluster states range from .808 to .872, the higher symplectic excitations differ by more from the alpha -cluster states of the same ( lambda mu ). The alpha -cluster and symplectic excitations thus give a complementary description of core excitations in ¹⁶O

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