Sorry, I meant electron-positron pair production by photons passing by nuclei.mfb said:Pair production of what, by what?
There are many pairs, and many collision processes that can lead to pairs.
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.mfb said:
It is the differential cross-section you are interested in, in terms of energy and direction of the produced particles.Shyan said:The second link seems to give that but I don't know what a quadruply differential cross section is!
I got it. Thanks!mfb said:It is the differential cross-section you are interested in, in terms of energy and direction of the produced particles.
Pair production differential cross section is a measure of the likelihood of a high-energy photon interacting with a target particle to produce a pair of particles (typically an electron and a positron). It is an important quantity in particle physics that helps us understand the fundamental interactions between particles and the behavior of matter at the subatomic level.
The calculation of pair production differential cross section involves complex mathematical equations that take into account the energy and momentum of the incoming photon, the properties of the target particle, and the kinematics of the produced particles. These calculations are typically performed using quantum field theory and can be quite challenging.
Pair production differential cross section is an important tool for understanding the fundamental forces and interactions between particles. It is used in experimental studies to verify theoretical predictions and to test the validity of different models of particle interactions. It also helps us understand the properties of matter and the behavior of particles at high energies.
As the energy of the incoming photon increases, the pair production differential cross section also increases. This is because higher energy photons have a greater chance of interacting with the target particle and producing a pair of particles. However, at very high energies, the cross section may reach a plateau or even decrease due to other factors such as the properties of the target particle and the kinematics of the produced particles.
Yes, pair production differential cross section can be measured in particle accelerators and other high-energy experiments. Scientists can use detectors to measure the energy and momentum of the produced particles and then use this information to calculate the cross section. These measurements can help validate theoretical predictions and provide insights into the behavior of matter at the subatomic level.