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A particle, which moves in a crystal, experiences weak interactions withelectrons and nuclei alongside with electromagnetic interaction. Measuring thepolarization vector and the angular distribution of charged and neutralparticles scattered by axes (planes) of an unbent (straight) crystal enables toobtain restrictions for the EDM value and for {magnitudes} of constantsdescribing T-odd (CP-odd) interactions Beyond the Standard Model. Spin rotationand polarization conversion from vector to tensor one and vice versa for achannelled in a crystal $\Omega^{\pm}$ hyperon enable measuring hyperon'squadrupole moment that is not possible to measure by use of laboratoryavailable noncrystalline electric fields.

Study of electromagnetic dipole moment, electric quadrupole moment and  weak T-odd (CP-odd) interactions of high energy short-lived particles in  straight crystals