On the Theory of Slow Neutron Scattering by Liquid Helium

Using the extreme Bose-Einstein (B.E.) and Fermi-Dirac (F.D.) models of liquid ${\mathrm{He}}_4$ and ${\mathrm{He}}_3$, respectively, the theory of inelastic or incoherent slow neutron scattering by these liquids has been studied in this paper. It is, of course, fully realized that these liquids are not ideal symmetric or antisymmetric collections of atoms. Nevertheless, they might exhibit, in their behavior with respect to slow neutron scattering, such trends which could be interpreted as resulting from their respective statistical properties.