Elastic scattering preserves the total kinetic energy. For one particle scattered by a fixed target, the incoming and outgoing wavevectors therefore have equal magnitudes.
An elastic weak interaction of a neutrino with an electron. For a stationary electron of mass and an effectively massless incident neutrino of energy , the maximum recoil kinetic energy in natural units is . This kinematic limit does not specify the interaction probability.
In coherent elastic scattering, amplitudes from the scattering constituents combine while their internal state is unchanged. For X-rays, recoil taken by a whole chemical atom can produce an effectively unshifted component alongside the Compton scattering component.
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Elastic scattering is a process in which particles collide without experiencing any change in their internal states or energies. In such interactions, the total kinetic energy of the system is conserved. This means that the incoming particles and the scattered particles retain the same kinetic energy before and after the collision, although their directions may change due to the scattering process.