Numerical methods of calculation of binary nuclear reactions with polarized fragments. Basic equations

On the basis of irreducible spherical spin-tensor formalism the modern approach to the description of binary nuclear reactions with an arbitrary spin structure of fragments is presented. The basic properties of irreducible tensors are discussed, special attention is paid to multipole series expansion of operators and functions. Properties of spin density matrix and its decomposition by spin-tensor operators are presented. In the framework of model-independent approach the expressions to calculate polarization characteristics of binary nuclear reactions are obtained. Restrictions to which they obey are considered