Abstract
Slow neutron scattering in a Fermi liquid is studied theoretically. If the change of neutron momentum and energy during scattering is much less than the cut-off momentum and cut-off energy of the Fermi liquid, specific Fermi-liquid effects appear in scattering. If the neutron velocity exceeds the zero-sound velocity neutrons may excite zero-sound oscillations in scattering. For such scattering there is a unique connection between the energy and momentum transferred, in contrast to direct scattering accompanied by the departure of the Fermi-liquid quasi-particle out of the filled Fermi sphere. This enables us to distinguish in principle between the two types of scattering. The cross section for direct scattering and scattering with zero-sound excitation as well as the coefficient of neutron depolarization and the coefficient of neutron reflection off the Fermi liquid surface are determined in the paper. At the grazing incidence the reflection coefficient has sharp maxima corresponding to zero-sound excitation.
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