dorsal/arxiv
View SchemaUsing Faddeev Differential Equations to Calculate Three-Body Resonances
| Authors | E. A. Kolganova, A. K. Motovilov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9602001 |
| URL | https://arxiv.org/abs/nucl-th/9602001 |
| Journal | Phys. Atom. Nucl. 60 No. 2 (1997), 177--185 |
Abstract
Algorithm, based on explicit representations for analytic continuation of the T-matrix Faddeev components on unphysical sheets, is worked out for calculations of resonances in the three-body quantum problem. According to the representations, poles of T-matrix, scattering matrix and Green function on unphysical sheets, interpreted as resonances, coincide with those complex energy values where appropriate truncations of the scattering matrix have zero as eigenvalue. Scattering amplitudes on the physical sheet, necessary to construct scattering matrix, are calculated on the basis of the Faddeev differential equations. The algorithm developed is applied to search for the resonances in the $nnp$ system and in a model three-boson system.
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"abstract": "Algorithm, based on explicit representations for analytic continuation of the\nT-matrix Faddeev components on unphysical sheets, is worked out for\ncalculations of resonances in the three-body quantum problem. According to the\nrepresentations, poles of T-matrix, scattering matrix and Green function on\nunphysical sheets, interpreted as resonances, coincide with those complex\nenergy values where appropriate truncations of the scattering matrix have zero\nas eigenvalue. Scattering amplitudes on the physical sheet, necessary to\nconstruct scattering matrix, are calculated on the basis of the Faddeev\ndifferential equations. The algorithm developed is applied to search for the\nresonances in the $nnp$ system and in a model three-boson system.",
"arxiv_id": "nucl-th/9602001",
"authors": [
"E. A. Kolganova",
"A. K. Motovilov"
],
"categories": [
"nucl-th"
],
"journal_ref": "Phys. Atom. Nucl. 60 No. 2 (1997), 177--185",
"title": "Using Faddeev Differential Equations to Calculate Three-Body Resonances",
"url": "https://arxiv.org/abs/nucl-th/9602001"
},
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