A compound parabolic concentrator as an ultracold neutron spectrometer

Abstract

The design principles of nonimaging optics are applied to ultracold neutrons (UCN). In particular a vertical compound parabolic concentrator (CPC) that efficiently redirects UCN vertically into a bounded spatial volume where they have a maximum energy mga that depends only on the initial phase space cross sectional area πa^2 creates a spectrometer which can be applied to neutron lifetime and gravitational quantum state experiments.

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