A new limit is presented on the axion-like monopole-dipole P, T-non-invariant interaction in a range (10 −4 -1) cm. The spin-dependent nucleon-nucleon potential between neutrons and nucleons of the walls of the cavity containing ultra-cold neutrons should affect the neutron depolarization probability at their reflection from the walls. The limit is obtained from existing data on the ultra-cold neutron depolarization probability per one collision with the walls.
The Goos-Hänchen (G-H) effect for neutron reflection from condensed matter is considered. An experiment to quantify the effect is proposed. The relation of G-H shift to the neutron coherence length is considered.
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