Alternative scattering power for Gaussian beam model of heavy charged particles

TL;DR

This paper introduces a new, simplified scattering power formulation for heavy charged particles in matter, improving accuracy and efficiency in beam transport modeling, with validation against experimental data.

Contribution

It presents a novel scattering power formula based on modified Highland formula for use in heterogeneous media within Fermi-Eyges theory.

Findings

RMS angles and displacements closely match measurements within 2% for protons, helium, and carbon ions.

The new formulation improves upon existing models in accuracy and simplicity.

Analytical RMS end-point displacement formula derived for arbitrary ions.

Abstract

This study provides an accurate, efficient, and simple multiple scattering formulation for heavy charged particles such as protons and heavier ions with a new form of scattering power that is a key quantity for beam transport in matter. The Highland formula for multiple scattering angle was modified to a scattering-power formula to be used within the Fermi-Eyges theory in the presence of heterogeneity. An analytical formula for RMS end-point displacement in homogeneous matter was also derived for arbitrary ions. The formulation was examined in terms of RMS angles and displacements in comparison with other formulations and measurements. The results for protons, helium ions, and carbon ions in water agreed with them at a level of 2% or the differences were discussed.