An Algorithm for Decomposition of the Charged Particle Scattering Cross Sections into Singular and Regular Components

Any radiography simulation effort that involves high energy photons should also address charged particle transport problem as well. The scattering cross sections with the charged particles, namely electrons and positrons, go through elastic and inelastic scattering interactions that are highly anisotropic. The conventional Boltzmann operator used in the transport computations can not represent the highly anisotropic scattering interactions. One way is to implement Fokker-Planck operators. The implementation of Fokker-Planck operators requires decomposition of scattering kernels into singular and regular components. This paper introduces an algorithm on how to decompose the elastic and inelastic scattering cross sections into singular and regular components and how to compute momentum transfer and stopping power coefficients from singular components.