In center-of-mass coordinates, this process has a classical differential cross section proportional to the fourth power of the cosecant of the axial half-angle, but that expression suffers from an infrared divergence in free space.
For sufficiently low energies, this behavior results in a hyperbolic image profile, but when the particles involved have spin, the image produced is skewed or bifurcated according to the Sherman function. In center-of-mass coordinates, this process has a classical differential cross section proportional to the fourth power of the cosecant of the axial half-angle, but that expression suffers from an infrared divergence in free space. The radius and Z-number of the targets in this process can be estimated as the minimum observed impact parameter and maximum energy loss, especially when the deflection is very large. This low-energy limit of both Mott and deep inelastic scattering may thus be used to determine nuclear composition in a namesake backscattering probe. For 10 points, name this scattering of charged particles by the Coulomb potential of the nucleus, which was used to infer the existence of the nucleus.
For sufficiently low energies, this behavior results in a hyperbolic image profile, but when the particles involved have spin, the image produced is skewed or bifurcated according to the Sherman function.
Rutherford scattering [prompt on Coulomb scattering]