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Nuclear Form Factor - Scaling

  1. Feb 11, 2015 #1
    1. The problem statement, all variables and given/known data

    b) For a Form factor of form ##\theta_{(1-r)}## and ##\frac{1}{1 + e^{\frac{r-R}{a}}}##, how will these change when ##r \rightarrow 2r##?

    c) How would one accelerate and observe scattered protons?


    2nsx2y8.png
    2iu7s3n.png

    2. Relevant equations


    3. The attempt at a solution

    Part(b)

    Rate of scattering per solid angle is given by:
    [tex]\frac{d\sigma}{d\Omega} = |F_{nucl} |^2 \left( \frac{d\sigma}{d\Omega} \right)_{rutherford} [/tex]

    For the first form function of a sphere, ##\theta_{(1-r)} \rightarrow \theta_{(1-2r)}##, so it scales as ##\frac{1}{2}##?

    For the next form factor due to the fraction of ##\frac{1}{a}##, it scales as ##\frac{a}{2}##?

    Part (c)



     
  2. jcsd
  3. Feb 16, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
  4. Feb 16, 2015 #3
    Yes I have gone through this question with my tutor, will post the answers later.
     
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