Spin rotation and depolarization of high-energy particles in crystals at LHC and FCC energies. The possibility to measure the anomalous magnetic moments of short-lived particles and quadrupole moment of Ω-hyperon

The phenomena of spin rotation and depolarization of high-energy particles in crystals in the range of high energies that will be available at Hadron Collider (LHC) and Future Circular Collider (FCC) provides a unique possibility of measuring the anomalous magnetic moment of charged and neutral charm and beauty hyperons and quadrupole moment of Ω-hyperon. Crystals with polarized nuclei give opportunities for measuring spin-dependent interactions of short lived particles with nuclei and measurement of a particle polarization.