dorsal/arxiv
View SchemaLight Nuclei in the Framework of the Symplectic No-core Shell Model
| Authors | Jerry P. Draayer, Tomas Dytrych, Kristina D. Sviratcheva, Chairul Bahri, James P. Vary |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0703058 |
| URL | https://arxiv.org/abs/nucl-th/0703058 |
| Journal | Proceedings of the XXV International Workshop on Nuclear Theory, DioMira, Sofia, Bulgaria (2006) 185-193 |
Abstract
A symplectic no-core shell model (Sp-NCSM) is constructed with the goal of extending the {\it ab-initio} NCSM to include strongly deformed higher-oscillator-shell configurations and to reach heavier nuclei that cannot be studied currently because the spaces encountered are too large to handle, even with the best of modern-day computers. This goal is achieved by integrating two powerful concepts: the {\it ab-initio} NCSM with that of the $\mathrm{Sp}(3,\mathbb{R})\supset\mathrm{SU}(3)$ group-theoretical approach. The NCSM uses modern realistic nuclear interactions in model spaces that consists of many-body configurations up to a given number of $\hbar\Omega$ excitations together with modern high-performance parallel computing techniques. The symplectic theory extends this picture by recognizing that when deformed configurations dominate, which they often do, the model space can be better selected so less relevant low-lying $\hbar\Omega$ configurations yield to more relevant high-lying $\hbar\Omega$ configurations, ones that respect a near symplectic symmetry found in the Hamiltonian. Results from an application of the Sp-NCSM to light nuclei are compared with those for the NCSM and with experiment.
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"abstract": "A symplectic no-core shell model (Sp-NCSM) is constructed with the goal of\nextending the {\\it ab-initio} NCSM to include strongly deformed\nhigher-oscillator-shell configurations and to reach heavier nuclei that cannot\nbe studied currently because the spaces encountered are too large to handle,\neven with the best of modern-day computers. This goal is achieved by\nintegrating two powerful concepts: the {\\it ab-initio} NCSM with that of the\n$\\mathrm{Sp}(3,\\mathbb{R})\\supset\\mathrm{SU}(3)$ group-theoretical approach.\nThe NCSM uses modern realistic nuclear interactions in model spaces that\nconsists of many-body configurations up to a given number of $\\hbar\\Omega$\nexcitations together with modern high-performance parallel computing\ntechniques. The symplectic theory extends this picture by recognizing that when\ndeformed configurations dominate, which they often do, the model space can be\nbetter selected so less relevant low-lying $\\hbar\\Omega$ configurations yield\nto more relevant high-lying $\\hbar\\Omega$ configurations, ones that respect a\nnear symplectic symmetry found in the Hamiltonian. Results from an application\nof the Sp-NCSM to light nuclei are compared with those for the NCSM and with\nexperiment.",
"arxiv_id": "nucl-th/0703058",
"authors": [
"Jerry P. Draayer",
"Tomas Dytrych",
"Kristina D. Sviratcheva",
"Chairul Bahri",
"James P. Vary"
],
"categories": [
"nucl-th"
],
"journal_ref": "Proceedings of the XXV International Workshop on Nuclear Theory,\n DioMira, Sofia, Bulgaria (2006) 185-193",
"title": "Light Nuclei in the Framework of the Symplectic No-core Shell Model",
"url": "https://arxiv.org/abs/nucl-th/0703058"
},
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