Intermediate Mechanics:Scattering

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Revision as of 05:10, 8 November 2005

$p r o b a b i l i t y = n t a r g e t s * n p r o j e c t i l e s * σ$

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

$p r o b a b i l i t y = n t a r g e t s * n p r o j e c t i l e s * σ(θ) * ΔΩ$

$ΔΩ$ is the "Solid Angle"

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

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

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

@@ Line 8: / Line 8: @@
 ==Differential Cross Section==
 <math>
-probability = n_{targets} * n_{projectiles} * \delta * \Delta \Omega
+probability = n_{targets} * n_{projectiles} * \sigma(\theta) * \Delta \Omega
 </math>