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Scattering from a hard ellipsoid

  1. Nov 8, 2014 #1
    1. The problem statement, all variables and given/known data
    a,b is constant and s is impact parameter, θ is scattering angle.
    i know that ψ in the picture is <ψ=(π-θ)/2>

    2. Relevant equations

    differential scattering crossection dσ/dΩ = (s/sinΘ) I ds/dθ I

    and σ(θ)=∫(dσ/dΩ)dΩ

    3. The attempt at a solution

    i guessed, first step is that finding a relation of impact parameter s and scattering angle θ.
    but i couldn't. This picture is my attempt at a solution.


    i think for getting a relation of <s and θ> to use tan(θ/2) but i do not find.
    How can i get impact parameter s(θ)?
  2. jcsd
  3. Nov 8, 2014 #2


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    Science Advisor
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    Gold Member

    calculate, or look up, the equation for the tangent to an ellipse.
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