dorsal/arxiv
View SchemaThree-Body Resonances in Framework of the Faddeev Configuration Space Approach
| Authors | E. A. Kolganova, A. K. Motovilov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9702037 |
| URL | https://arxiv.org/abs/nucl-th/9702037 |
| Journal | Proc. of 9th Intern. Conf. on Computational Modelling and Computing in Physics, CMCP96 (Dubna, September 16--21, 1996). JINR, Dubna, 1997. P. 177-180 |
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 the T--matrix, scattering matrix and resolvent 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. Effectiveness of the algorithm developed is demonstrated for example of searching for resonances in the system $nnp$ 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 the T--matrix, scattering matrix and resolvent 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. Effectiveness of the algorithm developed is\ndemonstrated for example of searching for resonances in the system $nnp$ and in\na model three-boson system.",
"arxiv_id": "nucl-th/9702037",
"authors": [
"E. A. Kolganova",
"A. K. Motovilov"
],
"categories": [
"nucl-th"
],
"journal_ref": "Proc. of 9th Intern. Conf. on Computational Modelling and\n Computing in Physics, CMCP96 (Dubna, September 16--21, 1996). JINR, Dubna,\n 1997. P. 177-180",
"title": "Three-Body Resonances in Framework of the Faddeev Configuration Space Approach",
"url": "https://arxiv.org/abs/nucl-th/9702037"
},
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