A very crappy but fast perturbative method to get this quantity is the (*) Born approximation.
One method to calculate this uses the asymptotic free particle solution of the spherical Schrödinger equation, which is then compared to the sum of the many spherical plane waves with different angular momentum, and is thus known as the method of partial waves. Because this quantity depends on the cosecant, at certain angles, the glory effect can occur. The optical theorem states that this is equal to the imaginary part of the scattering amplitude. A very crappy but fast perturbative method to get this quantity is the (*) Born approximation. For a hard sphere, it is equal to radius squared divided by 4, and the Klein-Nishina formula gives this value for Compton scattering. Classically defined entirely by velocity and impact parameter, for 10 points, is which quantity that classically gives the area seen by an incoming particle?
One method to calculate this uses the asymptotic free particle solution of the spherical Schrödinger equation, which is then compared to the sum of the many spherical plane waves with different angular momentum, and is thus known as the method of partial waves.
differential cross section [accept cross sectional area]