An Introduction to Neutron Scattering - Spallation Neutron Source
An Introduction to Neutron Scattering - Spallation Neutron Source
An Introduction to Neutron Scattering - Spallation Neutron Source
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<strong>Scattering</strong> by a Single (fixed) Nucleus<br />
If v is the velocity of<br />
passing through an area dS per second after scattering is<br />
v dS ψ<br />
scat<br />
Since the number of<br />
2<br />
= v dS b<br />
2<br />
dσ<br />
v b dΩ<br />
= = b<br />
dΩ<br />
ΦdΩ<br />
2<br />
2<br />
the neutron (same before and after scattering),<br />
the<br />
/r<br />
2<br />
= v b<br />
2<br />
dΩ<br />
incident neutrons passing through unit areasis<br />
soσ<br />
<strong>to</strong>tal<br />
= 4πb<br />
2<br />
:<br />
• range of nuclear force (~ 1fm)<br />
is scattering is<br />
elastic<br />
• we consider only scattering far<br />
from nuclear resonances where<br />
neutron absorption is negligible<br />
:<br />
number of<br />
Φ = vψ<br />
incident<br />
neutrons<br />
2<br />
= v
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