# Scattering in a central potential

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

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

Just mimick the computations.

Daniel.

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?

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

Daniel.

Well, that book is not a part of my collection so can you help me in any other way? ;)

dextercioby
Homework Helper
Last edited by a moderator:
Sorry, I can't figure this out. This is an inverse qubic force, not an inverse square force.

dextercioby
Homework Helper
Yes, but the technique is the same.

Daniel.

Meir Achuz
Homework Helper
Gold Member
Goldstein's "Classical Mechanics" derives the Rutherford cross section.

That's the book I'm using but it seems like I don't understand it.