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I´m confused about this concept.. It seems rather trivial, but my teacher is not that pedagogical and describes it as a rather diffcult concept so maybe I misunderstood it.

Given the definition in Sakurai and the scattering of only one particle it seem to be a kind of "denisty" per radians for the probability (or rather amplitude) that the particle will be scattered in this direction.

In other words for a small interval in our angle (lets say inbetween a and b) an estimation of the probability for our particle to come out in this direction should be given by:

[tex]P(\theta \in [a,b] )= |(b - a) \cdot \frac{d \sigma}{d \Omega}\big|_{\frac{a+b}{2}}\,\,|^2 [/tex].

Is this a good intuitional picture to have in mind when going to the next lecture?

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# Differential cross section

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