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Recent theoretical work has shown that spin $1/2$ particles moving throughunpolarized matter which sources torsion fields experience a new type ofparity-even and time-reversal-odd optical potential if the matter is spinningin the lab frame. This new type of optical potential can be soughtexperimentally using the helicity dependence of the total cross sections forlongitudinally polarized neutrons moving through a rotating cylindrical target.In combination with recent experimental constraints on short-range P--odd,T--even torsion interactions derived from polarized neutron spin rotation inmatter one can derive separate constraints on the time components of scalar andpseudoscalar torsion fields in matter. We estimate the sensitivity achievablein such an experiment and briefly outline some of the potential sources ofsystematic error to be considered in any future experimental search for thiseffect.

Parity-Even and Time-Reversal-Odd Neutron Optical Potential in Spinning Matter Induced by Gravitational Torsion