Form Factor and Neutron Scattering

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SUMMARY

The discussion focuses on the application of form factors in Rutherford scattering and neutron probing of nuclei. It establishes that for nuclear scattering involving neutrons, there is no form factor due to the small size of the nucleus. In contrast, X-ray and magnetic neutron scattering utilize form factors derived from the Fourier transform of electron density. Additionally, the kinetic energy required for probing a specific radius is defined by the relationship p^2/2m, where p represents momentum.

PREREQUISITES
  • Understanding of Rutherford scattering principles
  • Familiarity with neutron scattering techniques
  • Knowledge of Fourier transforms in physics
  • Basic concepts of kinetic energy and momentum
NEXT STEPS
  • Research the principles of neutron scattering and its applications
  • Study the Fourier transform and its relevance in scattering theory
  • Explore the differences between X-ray and neutron scattering techniques
  • Learn about the de Broglie wavelength and its implications in quantum mechanics
USEFUL FOR

Physicists, nuclear engineers, and students studying scattering techniques and quantum mechanics will benefit from this discussion.

rwilliams184
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Hi all

Can someone please describe how the form factor used in Rutherford scattering is applicable to neutron probing of nuclei?

Also, is the kinetic energy required to probe a given radius simply given by the de Broglie wavelength where momentum, p >= h-bar / Radius ? (Relativity neglected)

Thanks
 
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For nuclear scattering for neutrons there is no form factor, because the nucleus is so tiny.

X-ray and magnetic neutron scattering probe the electrons which are quite extended. The form factor is basically the Fourier transform of the electron density around the nucleus. The FT of a delta distribution is constant, hence no form factor for nuclear scattering.

Kinetic energy is p^2/2m
 

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