Stopping Power of a Substance for a Beam of Monoenergetic Protons with Energies of 1.0 keV-1.0 GeV

The results of solving the direct problem of analytical description of the dependence of the stopping power of a substance for a beam of monoenergetic protons in a wide range of primary energies of charged particles are presented. For the first time, a statistical model is used as a basic concept; it is based on taking into account the discrete nature of the processes of the multiple scattering of charged particles in a thin substance layer. Also, the dependence of the energy losses of particles on their velocity in four different energy ranges is taken into account in detail. The data of a comparison between the performed calculations and experimental measurements of the stopping power for beryllium, carbon, aluminum, silicon, and silver known from scientific publications are presented. The possibility of diagnosing the properties of a target material irradiated with protons is shown based on solving the inverse problem, namely, by comparing the results of calculating and measuring the stopping power for low-energy protons.