ИСТИНА

A novel test of time-reversal invariance in proton-deuteron scattering is planned as an internal target transmission experiment at COSY [1]. The P-even T-odd observable is the polarization correlation A_y,xz measured using a polarized proton beam (polarization Py) and polarized deuterium target (tensor polarization Pxz). Measuring of this observable is a real null test of time-reversal invariance for P-parity conserving processes [2]. In order to understand the background conditions of this experiment it is necessary to know the magnitudes of several T-even, P-even spin-observables in $pd$ scattering at energy about 100-200 MeV that corresponds to the energy of the planned experiment. In the present work we apply the Glauber-Sitenko theory of multistep scattering for calculation of the differential spin observables of elastic $pd$ scattering and the total $pd$ cross sections for polarized proton and deuteron. Actually we use the formalism published in Ref. [4]. and develop it for inclusion of Coulomb effects and T-odd $pN$ amplitudes. Furthermore, we properly modify the formalism of Ref.[4] in order to provide a comparison with existing experimental data [5,6]. The results of our calculations for unpolarized differential cross section, vector Ay and tensor Aij analyzing powers, spin correlation parameters Cij, Cij,k and spin-transfer coefficients Kji' at 135 MeV and 250 MeV are in reasonable agreement with the data [5,6] in forward hemisphere. We found that Coulomb effects improve agreement with the data at those energies at small angles. The total hadronic polarized cross sections σ1, σ2, σ3 (as defined in Ref.[3]) are calculated using the generalized optical theorem similarly to Ref. [7]. The obtained result for σ1 put a strong restriction on the magnitude of the possible vector polarization of the deuteron (Py <10^{-6}). This restriction is caused by requirement to get a planned accuracy of measurement of the T-odd effect about $10^{-6}$ 1. COSY Proposal N 215,"Test of Time reversal invariance in proton-deuteron scattering at COSY", D.Eversheim, Yu. Valdau - Spokespersons (2012). 2. H.E. Conzett. Phys. Rev. C 48 (1993) 423. 3. Yu.N. Uzikov, J.Haidenbauer. Phys.Rev.C 79 (2009) 024617. 4. M.N. Platonova, V.I. Kukulin. Phys. Rev. C 81 (2010) 014004. 5. K. Sekiguchi et al. Phys. Rev. C 65 (2002) 034003. 6. B. von Przewoski et al. Phys. Rev. C 74 (2006) 064003. 7. Yu.N.Uzikov, J.Haidenbauer. Phys.Rev. C 87 (2013) 054003.