Phys. Rev. C 76, 014315 (2007) [9 pages]
Dominant role of symplectic symmetry in ab initio no-core shell model results for light nuclei
Abstract
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Citing Articles
T. Dytrych, K. D. Sviratcheva, C. Bahri, and J. P. DraayerDepartment of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USAJ. P. VaryDepartment of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
Received 9 April 2007; published 31 July 2007
The symplectic Sp(3,![[openface R]](http://scitation.aip.org/servlet/GetImg?key=PRVCAN000076000001014315000001%3A0%3A0%3A28&t=a&d=a) ) symmetry of eigenstates for the 16O ground state and the 0 and lowest 2+ and 4+ configurations of 12C that are determined within the framework of the no-core shell model with the JISP16 realistic interaction is examined. These states are found to project at the 80–85% level onto a few 0-particle-0-hole symplectic representations, including the most deformed configuration. The corresponding symplectic space spans 0-particle-0-hole nuclear configurations together with single- and multiparticle excitations. The results are nearly independent of the harmonic oscillator strength and whether the bare or renormalized effective interactions are used in the analysis. The outcome points to the relevance of a symplectic no-core shell model and reaffirms the Elliott SU(3) model on which the symplectic scheme is built.
©2007 The American Physical Society
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