dorsal/arxiv
View SchemaInequalities for Light Nuclei in the Wigner Symmetry Limit
| Authors | Jiunn-Wei Chen, Dean Lee, Thomas Schaefer |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0408043 |
| URL | https://arxiv.org/abs/nucl-th/0408043 |
| DOI | 10.1103/PhysRevLett.93.242302 |
| Journal | Phys.Rev.Lett. 93 (2004) 242302 |
Abstract
Using effective field theory we derive inequalities for light nuclei in the Wigner symmetry limit. This is the limit where isospin and spin degrees of freedom can be interchanged. We prove that the energy of any three-nucleon state is bounded below by the average energy of the lowest two-nucleon and four-nucleon states. We show how this is modified by lowest-order terms breaking Wigner symmetry and prove general energy convexity results for SU(N). We also discuss the inclusion of Wigner-symmetric three and four-nucleon force terms.
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"abstract": "Using effective field theory we derive inequalities for light nuclei in the\nWigner symmetry limit. This is the limit where isospin and spin degrees of\nfreedom can be interchanged. We prove that the energy of any three-nucleon\nstate is bounded below by the average energy of the lowest two-nucleon and\nfour-nucleon states. We show how this is modified by lowest-order terms\nbreaking Wigner symmetry and prove general energy convexity results for SU(N).\nWe also discuss the inclusion of Wigner-symmetric three and four-nucleon force\nterms.",
"arxiv_id": "nucl-th/0408043",
"authors": [
"Jiunn-Wei Chen",
"Dean Lee",
"Thomas Schaefer"
],
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"nucl-th",
"hep-lat",
"hep-ph"
],
"doi": "10.1103/PhysRevLett.93.242302",
"journal_ref": "Phys.Rev.Lett. 93 (2004) 242302",
"title": "Inequalities for Light Nuclei in the Wigner Symmetry Limit",
"url": "https://arxiv.org/abs/nucl-th/0408043"
},
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