Intermediate Mechanics:Scattering
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+ | {{Hierarchy Item|link=Physics Course Wikis|title=Physics Course Wikis}} | ||
+ | {{Hierarchy Item|link=Intermediate Mechanics|title=Intermediate Mechanics}} | ||
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==Total Cross Section== | ==Total Cross Section== | ||
<math> | <math> | ||
− | probability = n_{targets} * n_{projectiles} * \ | + | probability = n_{targets} * n_{projectiles} * \sigma |
</math> | </math> | ||
+ | |||
+ | Where <math> \sigma </math> is Area of the target divided by the Area of the total field. | ||
+ | |||
==Differential Cross Section== | ==Differential Cross Section== | ||
<math> | <math> | ||
− | probability = n_{targets} * n_{projectiles} * \ | + | probability = n_{targets} * n_{projectiles} * \sigma(\theta) * \Delta \Omega |
</math> | </math> | ||
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<math> | <math> | ||
− | \ | + | \sigma(\theta) = \frac{b}{\sin \theta} \left| \frac{\, db}{\, d\theta} \right| |
</math> | </math> | ||
<math> | <math> | ||
− | \ | + | \sigma(\theta) = \left( \frac{k}{4 T} \right)^2 \frac{1}{\sin^4 \left( \frac{\theta}{2} \right)} |
</math> | </math> |
Latest revision as of 22:07, 13 March 2006
Course Wikis | > | Physics Course Wikis | > | Intermediate Mechanics |
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 * σ(θ) * ΔΩ
ΔΩ is the "Solid Angle"