Pages: 23 - 27

Authors: Francesco TEODORI and Vincenzo MOLINARI

Abstract

The aim of this work is to analyze the diffusion and the slowing down of high energy proton shots through a target. Analyzing the phenomenon rigorously, with the full transport equations, means tackling 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, of ten leads to very poor approximations when charged particles moving through dense matter are considered. Here we present a Monte Carlo simulation of the Fokker-Planck equation where the multi-body collisions are taken into account. The model allows the calculation of a point-wise distribution of energy and momentum transferred to the target.

Key words: Fokker-Planck equation, Monte Carlo simulation, charged particles, multiple interactions

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