Description of the Low-Energy Doublet Neutron-Deuteron Scattering on the Basis of the Triton Bound and Virtual State Parameters
| dc.creator | Babenko, V. A. | |
| dc.creator | Petrov, N. M. | |
| dc.date | 2004-02-17 | |
| dc.date.accessioned | 2026-07-07T05:40:12Z | |
| dc.date.available | 2026-07-07T05:40:12Z | |
| dc.description | 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 $k\cot δ$ 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 $C_{v}^{2}=0.0592$. | |
| dc.description | 15 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0402055 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0402055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/82183 | |
| dc.subject | Nuclear Theory | |
| dc.title | Description of the Low-Energy Doublet Neutron-Deuteron Scattering on the Basis of the Triton Bound and Virtual State Parameters | |
| dc.type | text |