Pair production differential cross section

[ShayanJ]

In one of my classes, I should give a talk about pair production cross section in front of the class and so I'm now searching for resources. But I can't find a place where the differential cross section for pair production process is given. Anyone knows somewhere I can find it and , preferably, its derivation?
Thanks

 

[mfb]

Pair production of what, by what?
There are many pairs, and many collision processes that can lead to pairs.

 

[ShayanJ]

Pair production of what, by what?
There are many pairs, and many collision processes that can lead to pairs.

Sorry, I meant electron-positron pair production by photons passing by nuclei.

 

[mfb]

Google "electron positron pair production cross section" gives many relevant hits like this or that, for example.

 

[ShayanJ]

Google "electron positron pair production cross section" gives many relevant hits like this or that, for example.

The first link is actually a numerical calculation of total cross section for different materials. But I wanted to find a closed form for the differential cross section.
The second link seems to give that but I don't know what a quadruply differential cross section is!
Based on your hint, I searched myself and found this, which gives closed forms for the total cross section in different energy regions. But actually I just know that using differential cross section, its possible to calculate the probability that a particle scatters in a particular direction but I don't know how the total cross section can be useful!
Is it that there is no closed form for the differential cross section for this process and all the calculations are numerical?

 

[mfb]

I think you mixed first and second link.

The second link seems to give that but I don't know what a quadruply differential cross section is!

It is the differential cross-section you are interested in, in terms of energy and direction of the produced particles.

 

[ShayanJ]

It is the differential cross-section you are interested in, in terms of energy and direction of the produced particles.

I got it. Thanks!