Abstract
Singularities in the classical inelastic neutron-scattering cross section are shown to arise when the scatterer oscillates in a one-dimensional anharmonic potential such that the oscillation frequency contains an extremum as a function of the energy. The effects of friction on the singularity are investigated using an argument due to Soskin. The possible implications of these results for the soft potential model of glasses and undercooled liquids are discussed. \textcopyright{} 1996 The American Physical Society.
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