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On the Theory and Simulation of Multiple Coulomb Scattering of Heavy Charged Particles

S. I. Striganov
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Abstract

The Moliere theory of multiple Coulomb scattering is modified to take into account difference between scattering off atomic nuclei and electron. A simple analytical expression for angular distribution of charged particles passing through a thick absorber is found. It does not assume any special form for a differential cross section and has wider range of applicability than a Gaussian approximation. A well-known method to simulate multiple Coulomb scattering is based on the different treatment of soft and hard collisions. An angular deflection in a large number of soft collisions is sampled using the proposed distribution function, a small number of hard collisions are simulated directly. A boundary between hard and soft collisions is defined providing a precise sampling of scattering angle (1% level) and small number of hard collisions. A corresponding simulation module takes into account projectile and nucleus charge distributions and exact kinematics of a projectile-electron interaction.

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S. I. Striganov. 2004-05-03. On the Theory and Simulation of Multiple Coulomb Scattering of Heavy Charged Particles. https://arxiv.org/abs/hep-ph/0405023

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