Scattering in a central potential

  • #1
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How can I compute the differential scattering cross section [tex]\sigma (\theta) d \theta [/tex] for scattering in the central potential
[tex]V(r) = \frac{k}{r^2}[/tex]
using classical mechanics?
 

Answers and Replies

  • #2
dextercioby
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Ever seen Rutherford's approach to alpha particles scattered on a Coulomb potential made by the gold atoms ?

Just mimick the computations.

Daniel.
 
  • #3
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If you mean the Geiger-Marsden experiment, I have read about it but never seen any calculations. Any tip on where I can find it?
 
  • #4
dextercioby
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Appendix #9 from Max Born's "Atomic Physics" is the first i could come up with.

Daniel.
 
  • #5
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Well, that book is not a part of my collection so can you help me in any other way? ;)
 
  • #7
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Sorry, I can't figure this out. This is an inverse qubic force, not an inverse square force.
 
  • #8
dextercioby
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Yes, but the technique is the same.

Daniel.
 
  • #9
Meir Achuz
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Goldstein's "Classical Mechanics" derives the Rutherford cross section.
 
  • #10
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That's the book I'm using but it seems like I don't understand it.
 

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