dorsal/arxiv
View SchemaSymplectic Symmetry and the Ab Initio No-Core Shell Model
| Authors | Jerry P. Draayer, Tomas Dytrych, Kristina D. Sviratcheva, Chairul Bahri, James P. Vary |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0703059 |
| URL | https://arxiv.org/abs/nucl-th/0703059 |
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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"date_created": "2026-03-02T18:00:12.073000Z",
"date_modified": "2026-03-02T18:00:12.073000Z",
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"abstract": "The symplectic symmetry of eigenstates for the $0^+_{gs}$ in $^{16}$O and the\n$0^+_{gs}$ and lowest $2^+$ and $4^+$ configurations of $^{12}$C that are\nwell-converged within the framework of the no-core shell model with the JISP16\nrealistic interaction is examined. These states are found to project at the\n85-90% level onto very few symplectic representations including the most\ndeformed configuration, which confirms the importance of a symplectic no-core\nshell model and reaffirms the relevance of the Elliott $\\mathrm{SU}(3)$ model\nupon which the symplectic scheme is built.",
"arxiv_id": "nucl-th/0703059",
"authors": [
"Jerry P. Draayer",
"Tomas Dytrych",
"Kristina D. Sviratcheva",
"Chairul Bahri",
"James P. Vary"
],
"categories": [
"nucl-th"
],
"title": "Symplectic Symmetry and the Ab Initio No-Core Shell Model",
"url": "https://arxiv.org/abs/nucl-th/0703059"
},
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