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Nucleon-nucleon scattering problem

  1. Sep 7, 2012 #1
    1. The problem statement, all variables and given/known data
    Low-energy (s-wave) neutrons are scattered from protons, and the distribution of recoil
    protons is observed and analyzed. Let the neutron scattering angle be [itex]\Theta[/itex] in the laboratory
    coordinate system, and let the incident neutron kinetic energy be Tn. Assume that mp = mn. Show that (in the laboratory system):

    [itex]\frac{d\sigma}{dTp}[/itex]=[itex]\frac{\sigma}{Tn}[/itex]

    where σ is the total cross section and Tp is the proton kinetic energy after the scattering.

    3. The attempt at a solution
    I used

    [itex]\frac{d\sigma}{dTp}[/itex]=[itex]\frac{d\sigma}{d\Theta}[/itex][itex]\frac{d\Theta}{dTp}[/itex]

    but I can't seem to get the required expression. What is wrong with my method?
     
  2. jcsd
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