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In this paper, we discuss a possibility to improve constraints onspin-dependent short-range interactions in the range of 1 - 200 micrometersignificantly. For such interactions, our constraints are without competitionat the moment. They were obtained through the observation of gravitationallybound states of ultracold neutrons. We are going to improve these constraintsby about three orders of magnitude in a dedicated experiment with polarizedneutrons using the next-generation spectrometer GRANIT.

Constraints on spin-dependent short-range interactions using gravitational quantum levels of ultracold neutrons