Coulomb scattering

Elastic scattering of a pointlike particle with spin s on a massive point charge. Using Born's approximation, one obtains the following expression (``Rutherford formula''):

with q = ze the charge, p the momentum, and  the velocity of the projectile, and Q = Ze the charge of the nucleus.  introduces an additional  dependence coming from the spin s of the scattered particle.

Most frequently, Coulomb scattering is encountered as multiple Coulomb scattering and has to be integrated over many small-angle scatterings (  Multiple Scattering).

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