Pair Production: Clarification and Explanation

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SUMMARY

Pair production occurs when a high-energy photon, such as a gamma ray, interacts with a nucleus, resulting in the creation of an electron-positron pair. This process requires the photon to have energy at least equal to the combined rest mass of the electron and positron. While particle-antiparticle annihilation typically results in energy release, in this scenario, some energy is lost to the nucleus during the interaction, and the annihilation produces two photons, each carrying approximately half the energy of the original photon. Thus, the process cannot repeat indefinitely due to energy loss and the rarity of subsequent annihilation of the produced pair.

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  • Understanding of gamma ray interactions
  • Basic knowledge of particle-antiparticle dynamics
  • Familiarity with quantum field theory concepts
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quicksilver123
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hi,

i just need a quick clarification on pair production.


from my limited understanding, a photon of sufficiently high energy (gramma ray with energy at least equal to the mass of both an electron and positron at rest) will interact with a nucleus in ways that i do not understand to produce a particle pair - an electron and a positron.

i thought, though, that when a particle and its antiparticle meet, they annihilate. would this be the case in this scenario? or would the vectors of the produced particles be such that they would never meet?
if they do annihilate, would the energy produced be equal to the energy of the initial gamma ray? if not, where in the process is energy lost?
if it is the case that annihilation occurs without energy loss, could this scenario repeat ad infinitum?




(in addition, if someone could explain the interaction between the gramma ray photon and the nucleus without resorting to complex maths, i would be much obliged)


thanks!
 
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i thought, though, that when a particle and its antiparticle meet, they annihilate. would this be the case in this scenario?
They do not have to annihilate, and pair production is not exactly, but similar to the opposite direction.
or would the vectors of the produced particles be such that they would never meet?
Usually, yes.
if they do annihilate, would the energy produced be equal to the energy of the initial gamma ray? if not, where in the process is energy lost?
A tiny part of the energy will go to the nucleus.
if it is the case that annihilation occurs without energy loss, could this scenario repeat ad infinitum?
No. Apart from the energy lost to the nucleus, annihilation will produce (at least) two photons, both with (roughly) half the energy of the initial photon. In addition, it is rare that the produced particle pair annihilates again.
in ways that i do not understand
Quantum field theory. It just happens.
 
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