Analysis of the slowing down of high energy proton shots through matter via a Montecarlo simulation of the Fokker-Planck equation

Analyzing the high energy proton diffusion through solid matter rigorously, by using the transfer equation, means to tackle many difficulties most of which arise from the long range nature of the Coulomb interactions, involving more than one particle simultaneously. The commonly used approach of neglecting the multi-body collisions, though correct for rarefied neutral gases, often leads to very poor approximations, when charged particles moving through dense matter are considered. Here we present a numerical simulation of the Fokker-Planck equation where the multi-body collisions are taken into account. The model allows to calculate point-wise the distribution of energy and momentum transferred to the target.