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Scattering Amplitude

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scattering amplitude [′skad·ə·riŋ ‚am·plə‚tüd]
(quantum mechanics)
A quantity, depending in general on the energy and scattering angle, which specifies the wave function of particles scattered in a collision, and whose squared modulus is proportional to the number of particles scattered in a given direction.
Amplitude, Scattering 

in the quantum theory of collisions, a quantity which numerically describes the collisions of microparticles. A beam of particles (with a determined impulse) which is falling on a target scatters, and the particles can deflect in any direction. The relative number of particles scattering at different angles to the primary direction of the beam depends on the particular law governing the interaction of the scattered particles with the target particles. The probability of a particle’s scattering at a given angle is determined by the scattering amplitude—or by the modulus square of the scattering amplitude, to be exact.

V. P. PAVLOV
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Traditionally, the scattering amplitude of polarized neutrons with a polarized nucleus is described as follows: f = A + [p.
Two coils resonant Ramsey's method for the measurement of time ... by Aldushchenkov, A.V. / Journal of Research of the National Institute of Standards and Technology
In the case of PV neutron spin rotation, for example, the PV component of the forward scattering amplitude is proportional to the neutron momentum k, and, therefore, the relative phase [phi] = (n - 1)kz between the two neutron helicity states that leads to the rotation after a distance z, with n = 1 - 2[pi]f/[k.
Neutron measurements and the weak nucleon-nucleon interaction by Snow, W.M. / Journal of Research of the National Institute of Standards and Technology
The index of refraction of a medium in terms of the coherent forward scattering amplitude f(0) for a low-energy neutron [6] is n = 1 + (2[pi]/[k.
Measurement of the parity-violating neutron spin rotation in ... by Swanson, H.E. / Journal of Research of the National Institute of Standards and Technology
 
 
 
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