Verify that the total cross for scattering for force $f= k r^{-3}$ is infinite. However if the force vanishes for $r > r_0$, show that there is some miminum scattering angle $\theta_0$; express the result in terms of $m, r_0$, and $k$ and show that the total cross section is $$\sigma_t = 2\pi \int_{\theta_0}^\pi \sigma(\Theta)\ d\,\Theta = \pi r_0^2 $$
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4727:Diamond Point
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