Scattering Cross Section

Scattering Cross Section

[math]d\sigma = \frac{number\ of\ particles\ scattered\ / sec\ into\ d\Omega\ at\ \Theta , \Phi}{number\ of\ particles\ /cm^2\ /sec\ in\ incoming\ beam} = I(\Theta,\Phi)d\Omega[/math]

[math]where\ \frac{d\sigma}{d\Omega}\equiv differential\ scattering\ cross\ section[/math]

[math]and\ \int\limits_{\Theta=0}^{\pi} \int\limits_{\Phi=0}^{2\pi} \left(\frac{d\sigma}{d\Omega}\, d\Omega\right) \equiv total\ scattering\ cross\ section[/math]