New model interaction potential for the description of charged particle motion in matter

A new model interaction potential, in the form of a screened Coulomb potential, is proposed. Analytical expressions are derived for the stopping power of ions in elastic collisions. A program is written for Monte Carlo calculations of the ion ranges in an amorphous substance, taking inelastic losses into account in the continuous-slowing approximation and taking elastic collisions into account in the approximation of the new model interaction potential. The ranges of Cu and Rb ions in C and B targets are calculated. The results of the calculations are in good agreement with experiment.