Griffiths Introduction to Elementary Particles · Problem 6.4
Quantum Electrodynamics — David J. Griffiths
Physics — QFT · classical-scattering
Problem
A nonrelativistic particle of mass m scatters from a fixed repulsive potential, V(r)=k/r2, where k is a constant.
(a) Find the scattering angle, θ, as a function of the impact parameter, b.
(b) Determine the differential cross section dσ/dΩ.
(c) Find the total cross section.
[References: Goldstein (ref. 1), p. 108, eq. (3-97), and Becker, Introduction to Theoretical Mechanics (New York: McGraw-Hill, 1954), p. 231, Example 10-3.]