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In the interaction of a transversely polarized nuclear beam with atensor-polarized deuteron target, a nonzero value of the component of the totalcross section of the process corresponding to this combination of polarizationsis an unambiguous signal of $T$-invariance violation while $P$-parity ispreserved. The method developed earlier for calculating this component of thetotal cross section for $pd$ scattering based on the Glauber theory has beengeneralized by us to the case of $^3$He$d$ scattering, and its energydependence in the range of beam energies 0.1--1 GeV/nucleon has beencalculated. It is found that in $^3$He$d$ collisions, in contrast to $pd$scattering, the contribution of only one type of $T$-violating nucleon-nucleonforces dominates, which is essential for extraction of the unknown constant ofthis interaction from the corresponding data.

The effect of $T$-invariance violation in scattering of polarized $^3$He nuclei on tensor-polarized deuterons