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Chapter 4. Particle scattering
where f (q) is the scattering amplitude derived previously (4.85).
This is the main result of this section.
As a reminder, this applies to an arbitrary scattering potential
U (x). Mathematically, the equation (4.153) teaches that the scattering amplitude is the Fourier transform of the scattering potential. In practical terms, the angular distribution of the scattering
is directly measurable, and represents a sensitive probe into the
detailed form of the scattering potential.
We have succeeded in reproducing the earlier result by the independent use of perturbation theory as an alternative approach.
From this we deduce that the approximations made here coincide
with the first Born approximation.
4.7 Inelastic scattering of a particle by
a target atom
A scattering event which transfers energy from the incident particle to the target material is called inelastic scattering. The transferred energy can be manifest in a variety of secondary processes.
These include emission of a photon, Auger electron, or ionization
electron from a target atom. Alternatively they include collective
excitation of the conduction band electron gas known as a plasmon, or of the target lattice as a phonon. Analysis of the energy
lost by the primary particle provides important information about
the chemical and physical composition of the target. At very high
incident energy, various elementary particles can be created. Inelastic scattering is quite complicated, and the subject of an enormous literature.
In this study we confine our attention to the primary energy transfer, without considering the multiplicity of secondary processes. In
Chapter 4. Particle scattering
where f (q) is the scattering amplitude derived previously (4.85).
This is the main result of this section.
As a reminder, this applies to an arbitrary scattering potential
U (x). Mathematically, the equation (4.153) teaches that the scattering amplitude is the Fourier transform of the scattering potential. In practical terms, the angular distribution of the scattering
is directly measurable, and represents a sensitive probe into the
detailed form of the scattering potential.
We have succeeded in reproducing the earlier result by the independent use of perturbation theory as an alternative approach.
From this we deduce that the approximations made here coincide
with the first Born approximation.
4.7 Inelastic scattering of a particle by
a target atom
A scattering event which transfers energy from the incident particle to the target material is called inelastic scattering. The transferred energy can be manifest in a variety of secondary processes.
These include emission of a photon, Auger electron, or ionization
electron from a target atom. Alternatively they include collective
excitation of the conduction band electron gas known as a plasmon, or of the target lattice as a phonon. Analysis of the energy
lost by the primary particle provides important information about
the chemical and physical composition of the target. At very high
incident energy, various elementary particles can be created. Inelastic scattering is quite complicated, and the subject of an enormous literature.
In this study we confine our attention to the primary energy transfer, without considering the multiplicity of secondary processes. In