Approximate Formulas for the Stopping Power of Charged Particles in an Electron Gas

Abstract

The aim of the work, a survey is presented on calculating the energy loss of charged particles within the linear response theory from the knowledge of the dielectric function of a free electron gas model that evaluated the electronic stopping power in the local density approximation (LDA). The basic idea for energy loss including excitation and ionization of the couple (projectile – target) system for both (C and N) as a projectile and a number of atoms as a target by taking the value of r_s for each one. Approximate results for the electronic stopping power at high (v>v_f) and low (v<v_f) velocity are obtained. At low velocities, the stopping power is proportional to particle velocity, while at high velocities the stopping power is found familiar to the logarithmic dependence on velocity. The analytical results are compared with accurate numerical calculations.