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Scattering in a central potential

  1. Nov 28, 2006 #1
    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?
     
  2. jcsd
  3. Nov 28, 2006 #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.
     
  4. Nov 28, 2006 #3
    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?
     
  5. Nov 28, 2006 #4

    dextercioby

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    Appendix #9 from Max Born's "Atomic Physics" is the first i could come up with.

    Daniel.
     
  6. Nov 28, 2006 #5
    Well, that book is not a part of my collection so can you help me in any other way? ;)
     
  7. Nov 28, 2006 #6

    dextercioby

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  8. Nov 28, 2006 #7
    Sorry, I can't figure this out. This is an inverse qubic force, not an inverse square force.
     
  9. Nov 28, 2006 #8

    dextercioby

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    Yes, but the technique is the same.

    Daniel.
     
  10. Nov 28, 2006 #9

    Meir Achuz

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    Goldstein's "Classical Mechanics" derives the Rutherford cross section.
     
  11. Nov 28, 2006 #10
    That's the book I'm using but it seems like I don't understand it.
     
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