Abstract
Measurement of the spectrum of a flux of ultracold neutrons (UCN) is one of the most difficult problems in UCN experiments. Almost all existing methods of measuring such spectra are based on separating the neutrons in energy in the gravitational field of the Earth. The associated apparatus required to analyze a flux of ~2.10 -7 eV ultracold neutrons is quite cumbersome. For instance, the widely used H-knee gravitational spectrometer has a neutron guide of total length not less than 4 m [i]. The complex character of the motions of neutrons in the guide makes it difficult to allow for the absorption of the UCN in the walls of the guide and for the effect of the latter on the shape of the measured spectrum.
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