dorsal/arxiv
View SchemaDescription of the Low-Energy Doublet Neutron-Deuteron Scattering on the Basis of the Triton Bound and Virtual State Parameters
| Authors | V. A. Babenko, N. M. Petrov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0402055 |
| URL | https://arxiv.org/abs/nucl-th/0402055 |
Abstract
Low-energy doublet neutron-deuteron scattering is described on the basis of the triton bound and virtual state parameters - the energies and the nuclear vertex constants of these states. The van Oers-Seagrave formula is derived from the Bargmann representation of the S matrix for a system having two states. The presence of a pole in this formula is shown to be a direct corollary of the existence of a low-energy triton virtual state. Simple explicit expressions for the nd scattering length and for the pole of the function $k\cot \delta $ are obtained in terms of the triton bound and virtual state parameters. Numerical calculations of the nd low-energy scattering parameters show their high sensitivity to variations in the asymptotic normalization constant of the virtual state $C_{v}^{2}$. The $C_{v}^{2}$ value fitted in our model to the experimental result for the nd scattering length is $C_{v}^{2}=0.0592$.
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"date_created": "2026-03-02T18:00:01.597000Z",
"date_modified": "2026-03-02T18:00:01.597000Z",
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"abstract": "Low-energy doublet neutron-deuteron scattering is described on the basis of\nthe triton bound and virtual state parameters - the energies and the nuclear\nvertex constants of these states. The van Oers-Seagrave formula is derived from\nthe Bargmann representation of the S matrix for a system having two states. The\npresence of a pole in this formula is shown to be a direct corollary of the\nexistence of a low-energy triton virtual state. Simple explicit expressions for\nthe nd scattering length and for the pole of the function $k\\cot \\delta $ are\nobtained in terms of the triton bound and virtual state parameters. Numerical\ncalculations of the nd low-energy scattering parameters show their high\nsensitivity to variations in the asymptotic normalization constant of the\nvirtual state $C_{v}^{2}$. The $C_{v}^{2}$ value fitted in our model to the\nexperimental result for the nd scattering length is $C_{v}^{2}=0.0592$.",
"arxiv_id": "nucl-th/0402055",
"authors": [
"V. A. Babenko",
"N. M. Petrov"
],
"categories": [
"nucl-th"
],
"title": "Description of the Low-Energy Doublet Neutron-Deuteron Scattering on the Basis of the Triton Bound and Virtual State Parameters",
"url": "https://arxiv.org/abs/nucl-th/0402055"
},
"schema_id": "dorsal/arxiv",
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