ИСТИНА

The integrated proton-deuteron cross section $\widetilde\sigma$ for the case of the incident proton vector polarization $p_y^p$ and tensor polarization $P_{xz}$ of the deuteron target provides a null test signal for time-reversal invariance violating but P-parity conserving (TVPC) effects. This signal is not affected by the final state interaction and therefore its observation would directly indicate time-invariance violation, like in case of neutron EDM \cite{Conzett}. The corresponding experiment is planned at COSY to search for the TVPC signal \cite{COSY}. We study the null-test observable $\widetilde\sigma$ within the Glauber theory of the double-polarized $pd$ scattering \cite{TUZYadfiz},\cite{UZTemPRC}. Full spin dependence of the ordinary strong $pN$ scattering amplitudes and different types of the hypothetical TVPC pN-amplitudes are taken into account. We show that the contribution from the exchange of the lowest-mass meson allowed in the TVPC interaction, i.e. the $\rho$-meson, to the null-test observable $\widetilde\sigma$ is zero. The axial $h_1$ meson exchange makes a non-zero contribution. We find that inclusion of the Coulomb interaction does not lead to divergence of the cross section $\widetilde\sigma$ and calculate its energy dependence at the proton beam energy 100-1000 MeV. For comparison, relationships imposed by the T-invariance on differential spin observables $A_y$, $P_y$, $K_x^{z'}$, and $K_z^{x'}$ of elastic pd scattering are considered and the degree to which this relationships are violated is estimated with allowance for the T-odd P-even interaction \cite{TUZYizv2015}. \bibitem{Conzett} H.E.~Conzett, Phys. Rev. {\bfseries C48}, 423 (1993). % \bibitem{COSY} P.D.~Eversheim et al., B.~Lorentz, Yu.~Valdau, COSY Proposal, N 215 (2012). % \bibitem{TUZYadfiz} A.A~Temerbaeyv, Yu.N.~Uzikov, Yad.Fiz. {\bf 78}, 38 (2015). % \bibitem{UZTemPRC} Yu.N.~Uzikov, A.A~Temerbaeyv, Phys. Rev. C{\bf 92}, (2015). % \bibitem{TUZYizv2015} A.A~Temerbaeyv, Yu.N.~Uzikov, Izv. RAN, Ser. Fiz. {\bf 79}, 535 (2015).