Paramagnetic Scattering of Neutrons from a Heisenberg System

Abstract
The neutron paramagnetic scattering function for a Heisenberg system is evaluated in the high-temperature limit and in the cluster model. The numerical results for several different cluster configurations are presented for various values of scattering vector. The scattering function for a simple cubic lattice with spin ½ is compared with the frequency distribution functions derived from the method of moments by de Gennes and by Collins and Marshall.