dorsal/arxiv
View SchemaEffective Interaction Techniques for the Gamow Shell Model
| Authors | G. Hagen, M. Hjorth-Jensen, J. S. Vaagen |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0410114 |
| URL | https://arxiv.org/abs/nucl-th/0410114 |
| DOI | 10.1103/PhysRevC.71.044314 |
| Journal | Phys.Rev. C71 (2005) 044314 |
Abstract
We apply a contour deformation technique in momentum space to the newly developed Gamow shell model, and study the drip-line nuclei 5He, 6He and 7He. A major problem in Gamow shell-model studies of nuclear many-body systems is the increasing dimensionality of many-body configurations due to the large number of resonant and complex continuum states necessary to reproduce bound and resonant state energies. We address this problem using two different effective operator approaches generalized to the complex momentum plane. These are the Lee-Suzuki similarity transformation method for complex interactions and the multi-reference perturbation theory method. The combination of these two approaches results in a large truncation of the relevant configurations compared with direct diagonalization. This offers interesting perspectives for studies of weakly bound systems.
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"abstract": "We apply a contour deformation technique in momentum space to the newly\ndeveloped Gamow shell model, and study the drip-line nuclei 5He, 6He and 7He. A\nmajor problem in Gamow shell-model studies of nuclear many-body systems is the\nincreasing dimensionality of many-body configurations due to the large number\nof resonant and complex continuum states necessary to reproduce bound and\nresonant state energies. We address this problem using two different effective\noperator approaches generalized to the complex momentum plane. These are the\nLee-Suzuki similarity transformation method for complex interactions and the\nmulti-reference perturbation theory method. The combination of these two\napproaches results in a large truncation of the relevant configurations\ncompared with direct diagonalization. This offers interesting perspectives for\nstudies of weakly bound systems.",
"arxiv_id": "nucl-th/0410114",
"authors": [
"G. Hagen",
"M. Hjorth-Jensen",
"J. S. Vaagen"
],
"categories": [
"nucl-th",
"math-ph",
"math.MP",
"physics.atom-ph"
],
"doi": "10.1103/PhysRevC.71.044314",
"journal_ref": "Phys.Rev. C71 (2005) 044314",
"title": "Effective Interaction Techniques for the Gamow Shell Model",
"url": "https://arxiv.org/abs/nucl-th/0410114"
},
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