Form Factor and Neutron Scattering

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The discussion addresses the applicability of the form factor in Rutherford scattering to neutron probing of nuclei, noting that for nuclear scattering, there is effectively no form factor due to the small size of the nucleus. It explains that X-ray and magnetic neutron scattering involve probing the extended electron density around the nucleus, where the form factor is derived from the Fourier transform of this density. The conversation also touches on the kinetic energy needed for probing a specific radius, suggesting it is related to the de Broglie wavelength, with momentum defined as p >= h-bar / Radius. Additionally, it clarifies that kinetic energy is calculated using the formula p^2/2m. Overall, the nuances of neutron scattering and the role of form factors in different contexts are highlighted.
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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