dorsal/arxiv
View SchemaThe three-body Coulomb scattering problem in discrete Hilbert-space basis representation
| Authors | Z. Papp, S. L. Yakovlev |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9903078 |
| URL | https://arxiv.org/abs/nucl-th/9903078 |
Abstract
For solving the $2\to 2,3$ three-body Coulomb scattering problem the Faddeev-Merkuriev integral equations in discrete Hilbert-space basis representation are considered. It is shown that as far as scattering amplitudes are considered the error caused by truncating the basis can be made arbitrarily small. By this truncation also the Coulomb Green's operator is confined onto the two-body sector of the three-body configuration space and in leading order can be constructed with the help of convolution integrals of two-body Green's operators. For performing the convolution integral an integration contour is proposed that is valid for all energies, including bound-state as well as scattering energies below and above the three-body breakup threshold.
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"abstract": "For solving the $2\\to 2,3$ three-body Coulomb scattering problem the\nFaddeev-Merkuriev integral equations in discrete Hilbert-space basis\nrepresentation are considered. It is shown that as far as scattering amplitudes\nare considered the error caused by truncating the basis can be made arbitrarily\nsmall. By this truncation also the Coulomb Green\u0027s operator is confined onto\nthe two-body sector of the three-body configuration space and in leading order\ncan be constructed with the help of convolution integrals of two-body Green\u0027s\noperators. For performing the convolution integral an integration contour is\nproposed that is valid for all energies, including bound-state as well as\nscattering energies below and above the three-body breakup threshold.",
"arxiv_id": "nucl-th/9903078",
"authors": [
"Z. Papp",
"S. L. Yakovlev"
],
"categories": [
"nucl-th",
"math-ph",
"math.MP",
"quant-ph"
],
"title": "The three-body Coulomb scattering problem in discrete Hilbert-space basis representation",
"url": "https://arxiv.org/abs/nucl-th/9903078"
},
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