Intermediate Mechanics:Scattering

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(Total Cross Section)
(Total Cross Section)
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</math>
 
</math>
  
Where $\sigma$ is Area of the target divided by the Area of the total field.
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Where <math> \sigma </math> is Area of the target divided by the Area of the total field.
  
 
==Differential Cross Section==
 
==Differential Cross Section==

Revision as of 05:07, 8 November 2005

Total Cross Section

probability = ntargets * nprojectiles * σ

Where σ is Area of the target divided by the Area of the total field.

Differential Cross Section

probability = ntargets * nprojectiles * δ * ΔΩ

ΔΩ is the "Solid Angle"


\Delta \Omega = \frac{A}{R^2}


\delta(\theta) = \frac{b}{\sin \theta} \left| \frac{\, db}{\, d\theta} \right|


\delta(\theta) = \left( \frac{k}{4 T} \right)^2 \frac{1}{\sin^4 \left( \frac{\theta}{2} \right)}

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