Nuclear Form Factor - Scaling

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Homework Statement


[/B]
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


Homework Equations




The Attempt at a Solution



Part(b)
[/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)



 

Answers and Replies

  • #2
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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?
 
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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?
Yes I have gone through this question with my tutor, will post the answers later.
 
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