The lectures could be used as a guide for understanding elements of quantum mechanics and nuclear physics. Such a guide can eliminate the existing gap in the available scientific literature. 

It is well known that the properties of nuclei are often modeled using effective nucleon–nucleon (NN) interaction. Various nucleon–nuclear reactions are typically used to investigate this interaction. Specifically, the inelastic scattering of polarized protons from nuclei (especially with the excitation of unnatural parity states) is known to require the inclusion of the spin components of the NN interaction (spin-orbit, tensor (direct and exchange), and spin-dependent central components) in its description. It would be interesting to study the triple scattering of non-polarized protons in order to determine the contribution of the above-mentioned interaction parts. The theory of such scattering was developed by Wolfenstein in. However, experiments of this kind are incredibly cumbersome and do not provide the needed energy resolution. This approach was superseded by measurements that used three types of polarized beams (N, L, and S) in turns. Type N is characterized by a polarization direction that is perpendicular to the scattering plane. Type L polarization results from the direction of an incident beam, and type S has a lateral polarization direction that lies in the scattering plane but is orthogonal to the L direction.

The values of the normal-component spin observables, A_y, P and, D_NN supplemented here with the double-scattering spin (polarization) transfer coefficients D_ij  in the (p,p’) reactions. Measurements with the polarized beam, normal to the scattering plane, usually provide the cross-section dϭ/dΩ (θ), the analyzing power A_y(θ), and the D_NN (θ) polarization transfer (PT) at certain angles. The (p,p’) measurements with in-plane polarization have yielded the transfer coefficients D_SS, D_SL, and D_LL, D_LS. Accordingly, the subscripts L and S refer to polarization along or perpendicular to the proton momentum, with the first subscript indicating the incoming momentum, and the second – the outgoing momentum. The coefficient D_ij appears to be quite sensitive to the effective interaction and its modification in the nuclear medium. Within the framework of the plane-wave approximation, the observables are divided into the so-called polarized cross-sections. To construct them, we used combinations of the polarized transfer coefficients D_ij within the model of Bleszynski et al. Under certain conditions, some particular combinations of the scattering observables can be attributed to specific (spin-dependent) amplitudes of the effective interaction. The lectures demonstrate how the polarization observables, acquired in the (p,p’) reactions, can be determined by the spin dependence of the nucleon-nucleon (NN) interaction. Thus, the spin-transfer parameters can be conveyed by simple expressions in the plane-wave impulse approximation (PWIA). As a result, the diagonal D_ij can be presented through the C, B, E, and F amplitudes in the NN interaction (as Moss has shown). The studies of Bleszynski et al. are of great importance as they have established certain combinations (D_k) in terms of the D_ij. When these conditions are met, the values D_k may appear sensitive primarily to an individual component in the NN interaction. Some of our works published in English and Russian are presented in Supplement 1. 

This chapter, as well as the whole lecture course, is intended for students studying nuclear physics at universities and polytechnic schools.