dorsal/arxiv
View SchemaIntegral equations for three-body Coulombic resonances
| Authors | Z. Papp, I. N. Filikhin, S. L. Yakovlev |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9909083 |
| URL | https://arxiv.org/abs/nucl-th/9909083 |
| DOI | 10.1007/s006010170016 |
| Journal | Few Body Syst.Suppl. 99 (1999) 1; Few Body Syst. 30 (2001) 31-37 |
Abstract
We propose a novel method for calculating resonances in three-body Coulombic systems. The method is based on the solution of the set of Faddeev and Lippmann-Schwinger integral equations, which are designed for solving the three-body Coulomb problem. The resonances of the three-body system are defined as the complex-energy solutions of the homogeneous Faddeev integral equations. We show how the kernels of the integral equations should be continued analytically in order that we get resonances. As a numerical illustration a toy model for the three-$\alpha$ system is solved.
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"abstract": "We propose a novel method for calculating resonances in three-body Coulombic\nsystems. The method is based on the solution of the set of Faddeev and\nLippmann-Schwinger integral equations, which are designed for solving the\nthree-body Coulomb problem. The resonances of the three-body system are defined\nas the complex-energy solutions of the homogeneous Faddeev integral equations.\nWe show how the kernels of the integral equations should be continued\nanalytically in order that we get resonances. As a numerical illustration a toy\nmodel for the three-$\\alpha$ system is solved.",
"arxiv_id": "nucl-th/9909083",
"authors": [
"Z. Papp",
"I. N. Filikhin",
"S. L. Yakovlev"
],
"categories": [
"nucl-th"
],
"doi": "10.1007/s006010170016",
"journal_ref": "Few Body Syst.Suppl. 99 (1999) 1; Few Body Syst. 30 (2001) 31-37",
"title": "Integral equations for three-body Coulombic resonances",
"url": "https://arxiv.org/abs/nucl-th/9909083"
},
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