Physics:Coulomb scattering

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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''):

Hepb img120.gif

with q = ze the charge, p the momentum, and Hepb img80.gif the velocity of the projectile, and Q = Ze the charge of the nucleus. Hepb img121.gif introduces an additional Hepb img122.gif 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 ( Hepb img54.gif Multiple Scattering).