Examine the scattering produced by a repulsive central force $f= k r^{-3}$. Show that the differential cross section is given by $$\sigma(\Theta)\ d\Theta ={k\over 2E} {(1-x) dx \over x^2 (2-x)^2 \sin \pi x} $$ where $x$ is the ratio ${\theta/ \pi}$ and $E$ is the energy.
Goldstein
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4727:Diamond Point
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