Approximate Model of Neutron Resonant Scattering in a Crystal
| dc.creator | Courcelle, Arnaud | |
| dc.creator | Rowlands, John | |
| dc.date | 2007-09-18 | |
| dc.date.accessioned | 2026-07-07T08:30:23Z | |
| dc.date.available | 2026-07-07T08:30:23Z | |
| dc.description | In the theory of resonant scattering, the double differential cross section involves the computation of a multifold integral of a 4-point correlation function, which generalizes the traditional 2-point correlation function of Van-Hove for potential scattering. In the case of a neutron-crystal interaction, the numerical computation of these multifold integrals is cumbersome. In this paper, a new approximation is suggested. It is based on a factorization of the differential cross section into one function describing the exchange of kinetic energy between the neutron and the bound nucleus (phonons dynamic) and a function related to the nuclear scattering amplitude. This formalism is then applied to the modeling of resonant scattering of a neutron by $^{238}U$ in a $UO_2$ crystal lattice. | |
| dc.description | 10 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0709.2767 | |
| dc.identifier | http://arxiv.org/abs/0709.2767 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138230 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Approximate Model of Neutron Resonant Scattering in a Crystal | |
| dc.type | text |