Abstract
The effect of the simultaneous presence of one- and two-roton emission processes on the motion of negative ions in liquid $^{4}\mathrm{He}$ at very low temperatures is investigated theoretically. For a sufficiently small ratio of the emission rates, a dramatic structure in the velocity-field characteristics is predicted with the possibility of a region of negative differential mobility. It is pointed out that experimental determination of the emission-rate ratio would provide a direct measure of the relative linear and nonlinear responses of liquid $^{4}\mathrm{He}$ in a specific region of the excitation spectrum. The feasibility of experimental detection of the elusive one-roton emission processes is discussed.
Published Version
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