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Description
The total cross section of the interaction of transversaly polarized ($P_y$) proton ($^3$He or deuteron) with the tenzor polarized ($P_{xz}$) deuteron constitues a null-test signal of time-reversal invariance violation under parity conservation (TVPC) in such processes (see Ref. [1] and references therein). This result follows from the optical theorem providing this signal for such kind of double polarized scattering, as a product of unknown constant of the TVPC interaction and the ordinary T-even spin flip helicity $\phi_5$ amplitude of pN-scattering and the deuteron form factor. Knowledge of energy dependence of this signal is necessary for planning experiments and this function was calculated (up to unknown TVPC constant) for pd [1] in the GeV region and recently at energies of SPD NICA for pd [2], $^3$He-d [3] and dd [4] collisions.
Since some of hadronic spin amplitudes of pN elastic scattering are absolutely necessary for search of time-invariance violation in polarization experiments, it is important to have a test of existing parametrizations of these and others spin pN amplitudes especially at high energies where data are non-complete and, therefore, some model parametrizations for pN amplitudes are used [5,6]. As known, spin observables of the pd-elastic scattering in the GeV region are well described on the basis of the spin-dependent Glauber theory [7] using data on spin amplitudes of elastic pp- and pn-scattering. Therefore, spin observables of pd-elastic scattering being analyzed within the Glauber theory can be used as an effective test of existing spin pN-amplitudes. At the NICA SPD collider the asymmetric pd-collision mode will be not implemented, while the symmetric dd-mode will be realized. We show [8] that vector and tenzor analyzing powers $A^p_y$, $A_y^d$, $A_{yy}$, and spin-correlations coefficients $ С_{y,y}$, $C_{yy,y}$ of the dd→ npd reaction for the pole mechanism with a subprocess of quasi-free pd-elastic scattering are directly related to the corresponding spin observables of the free pd- elastic scattering. Most of these observables a very sensitive to the spin pN amplitudes. Therefore measurement of these observables in the reaction dd-npd at SPD NICA in kinematics of quasi free pd-pd process and forthcoming analysis within the Glauber theory will be important as an effective test of available spin pN-amplitudes.
[1] Yu.N. Uzikov, A.A. Temerbayev, Phys. Rev. C 92 (2015) 1, 014002
[2] Yu. N. Uzikov, M.P. Platonova, Phys. Part. Nucl. 56, No. 2, (2025) 533.
[3] Yu.N. Uzikov, M.N.Platonova, JETP Lett. 118 (2023) 11, 785.
[4] M.N. Platonova, Yu.N. Uzikov, Chin.Phys.C 49 (2025) 3, 034108.
[5] A. Sibirtsev, J. Haidenbauer, S. Krewald, U.-G.Meissner, Eur. Phys. J. A 45 (2010) 357.
[6] O.V. Selyugin, Phys.Rev. D 110 (2024) 11, 114028 ; e-Print: 2407.01311 [hep-ph].
[7] M.N. Platonova, V.I. Kukulin, Phys.Rev. C 81 (2010) 014004, Phys.Rev.C 94 (2016) 6, 069902; (erratum); Eur.Phys.J.A 56 (2020) 5, 132.
[8] Yu. N. Uzikov, e-Print: 2506.17799 [nucl-th]
