Symplectic Symmetry and the Ab Initio No-Core Shell Model

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The symplectic symmetry of eigenstates for the 0{sub gs}{sup +} in {sup 16}O and the 0{sub gs}{sup +} and lowest 2{sup +} and 4{sup +} configurations of {sup 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 SU(3) model upon which the symplectic scheme is built.

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6 pages

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Draayer, Jerry P.; Dytrych, Tomas; Sviratcheva, Kristina D.; Bahri, Chairul & Vary, James P. March 14, 2007.

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The symplectic symmetry of eigenstates for the 0{sub gs}{sup +} in {sup 16}O and the 0{sub gs}{sup +} and lowest 2{sup +} and 4{sup +} configurations of {sup 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 SU(3) model upon which the symplectic scheme is built.

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6 pages

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  • Journal Name: Submitted to Revista Mexicana de Fisica

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  • Report No.: SLAC-PUB-12386
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 900992
  • Archival Resource Key: ark:/67531/metadc888666

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  • March 14, 2007

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  • Sept. 22, 2016, 2:13 a.m.

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  • July 26, 2017, 12:09 p.m.

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Draayer, Jerry P.; Dytrych, Tomas; Sviratcheva, Kristina D.; Bahri, Chairul & Vary, James P. Symplectic Symmetry and the Ab Initio No-Core Shell Model, article, March 14, 2007; [Menlo Park, California]. (digital.library.unt.edu/ark:/67531/metadc888666/: accessed December 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.