Inverse-Square Interaction Potential in the Multiple Collision Model of Light Ion Reflection

Abstract

The linear Boltzmann transport equation for diffusion and slowing down of low-energy light ions in solids is Laplace transformed in relative path-length and solved by applying the DP0 technique. The ion-target atom interaction potential is assumed to have a form of the inverse-square law and furthermore, the collision integral of the transport equation is replaced by the P-3 approximation in angular variable. The approximative Laplace transformed solution for the reflection function is found and inverted leading to the distribution of backscattered particles in the relative path-length. Analytic expression for the particle reflection coefficient was derived and our result is compared with computer simulation data.