dorsal/arxiv
View SchemaLow momentum shell model effective interactions with all-order core polarizations
| Authors | Jason D. Holt, Jeremy W. Holt, T. T. S. Kuo, G. E. Brown, S. K. Bogner |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0504058 |
| URL | https://arxiv.org/abs/nucl-th/0504058 |
| DOI | 10.1103/PhysRevC.72.041304 |
| Journal | Phys.Rev. C72 (2005) 041304 |
Abstract
An all-order summation of core polarization diagrams using the low-momentum nucleon-nucleon interaction, V_low-k is presented. The summation is based on the Kirson-Babu-Brown (KBB) induced interaction approach in which the vertex functions are obtained self consistently by solving a set of non-linear coupled equations. It is found that the solution of these equations is simplified by using V_low-k, which is energy independent, and by employing Green functions in the particle-particle and particle-hole channels. We have applied this approach to the sd-shell effective interactions and find that the results calculated to all orders using the KBB summation technique are remarkably similar to those of second-order perturbation theory, average differences being less than 10%.
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"abstract": "An all-order summation of core polarization diagrams using the low-momentum\nnucleon-nucleon interaction, V_low-k is presented. The summation is based on\nthe Kirson-Babu-Brown (KBB) induced interaction approach in which the vertex\nfunctions are obtained self consistently by solving a set of non-linear coupled\nequations. It is found that the solution of these equations is simplified by\nusing V_low-k, which is energy independent, and by employing Green functions in\nthe particle-particle and particle-hole channels. We have applied this approach\nto the sd-shell effective interactions and find that the results calculated to\nall orders using the KBB summation technique are remarkably similar to those of\nsecond-order perturbation theory, average differences being less than 10%.",
"arxiv_id": "nucl-th/0504058",
"authors": [
"Jason D. Holt",
"Jeremy W. Holt",
"T. T. S. Kuo",
"G. E. Brown",
"S. K. Bogner"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.72.041304",
"journal_ref": "Phys.Rev. C72 (2005) 041304",
"title": "Low momentum shell model effective interactions with all-order core polarizations",
"url": "https://arxiv.org/abs/nucl-th/0504058"
},
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