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We present preliminary results on sensitivity of experiments with slowneutrons to constrain additional forces in a wide distance range: frompicometers to micrometers. In the sub-nanometer range, available data onlengths of neutron scattering at nuclei provide the most competitiveconstraint. We show that it can be improved significantly in a dedicatedmeasurement of asymmetry of neutron scattering at noble gases. In themicrometer range, we present sensitivity of the future GRANIT experiment.Further analysis will be presented in following publications.

Experimental constraints for additional short-range forces from neutron experiments