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Small-angle multiple scattering and spatial resolution in charged particle tomography.

A A Mustafa, D F Jackson

    Physics in Medicine and Biology
    |May 1, 1981
    PubMed
    Summary
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    A new correction to the Rossi formula for small-angle multiple-scattering improves accuracy for protons and alpha-particles. This correction is crucial for calculating scattering angles and lateral displacement, especially with energy loss in thick targets.

    Area of Science:

    • Physics
    • Particle Physics
    • Radiation Physics

    Background:

    • Small-angle multiple-scattering theory describes particle beam deflection.
    • The standard Rossi formula is widely used but has limitations.

    Purpose of the Study:

    • To derive and evaluate a correction to the Rossi formula for RMS scattering angle.
    • To assess the significance of this correction for various ions and energy loss effects.

    Main Methods:

    • Theoretical derivation of a correction factor to the Rossi formula.
    • Numerical calculation of correction factors for protons, alpha-particles, and heavy ions (12-40 amu).
    • Calculation of RMS scattering angle and lateral displacement for a proton beam in water, considering energy loss.

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    Main Results:

    • A correction to the standard Rossi formula for RMS scattering angle was derived.
    • The correction is significant for protons and alpha-particles but negligible for heavy ions (12-40 amu).
    • Energy loss correction is highly important for protons in thick targets.

    Conclusions:

    • The derived correction enhances the accuracy of multiple-scattering predictions for light charged particles.
    • The findings are critical for applications involving proton and alpha-particle beams, such as in medical physics and materials science.
    • Accurate modeling of scattering and energy loss is essential for precise beam control and dosimetry.