Phenomenon of anti-Bragg magnetic neutron diffraction
Theoretical Physics Department, V. A. Fock Institute of Physics, St. Petersburg State University Ulianovskaia 1, 198504 St. Petersburg, Russia
Accepted: 29 June 2010
Elastic magnetic scattering of slow neutrons by a N-electron target is considered. Contrary to the usual approximation that neutron is scattered by each atomic spin independently, the scattering by the whole target spin system is considered. The complete set of the total spin square eigenfunctions is used for the target degenerate ground state. Explicit analytical expressions for the scattering amplitude and differential cross-section are obtained. A new type (anti-Bragg) of angular dependence of the differential cross-section has been obtained for some target Hamiltonians.
PACS: 61.05.fd – Theories of neutron diffraction and scattering / 71.15.-m – Methods of electronic structure calculations
© EPLA, 2010