Abstract
Neutron scattering cross sections exhibit no quasielastic components when the scatterers move in one-dimensional Hamiltonian potentials. However, if the potential contains flattened regions, part of the inelastic spectrum appears as a pseudoquasielastic (PQE) component which could, in principle, be mistaken for a genuine quasielastic line. Using as a paradigm a power-law potential, we investigate the main features of this PQE component and discuss some of its properties (temperature, frequency dependence) that would help us to distinguish it from the quasielastic signal. Analytical results are given for the elastic and inelastic components.
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