Particle creation and annihilation

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SUMMARY

In particle physics, when an electron and positron annihilate, they produce two photons that travel in opposite directions to conserve linear momentum. This process requires both energy and momentum conservation, meaning that pair production cannot occur with a single photon unless it possesses sufficient energy and interacts with a nucleus. Specifically, two photons, each with energy greater than 511 keV, are necessary for pair production, or alternatively, a single photon with energy exceeding 1022 keV can achieve this in the presence of an atom.

PREREQUISITES
  • Understanding of particle physics concepts such as annihilation and pair production
  • Familiarity with photon energy levels, specifically 511 keV and 1022 keV
  • Knowledge of conservation laws in physics, including energy and momentum conservation
  • Basic comprehension of atomic structure and interactions
NEXT STEPS
  • Research the principles of photon interactions in particle physics
  • Study the conservation laws in detail, focusing on energy and momentum
  • Explore the mechanisms of pair production and its requirements
  • Learn about the role of atomic nuclei in particle interactions
USEFUL FOR

This discussion is beneficial for students and professionals in physics, particularly those focusing on particle physics, as well as educators teaching concepts related to particle interactions and conservation laws.

DiracPool
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I read somewhere that when, say, an electron and positron annihilate, they create two photons which travel in opposite directions in order to conserve linear momentum. Is this true? What about pair production. Do you likewise need two photons to do this? Or, can you do it with one photon provided it has enough energy?
 
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DiracPool said:
I read somewhere that when, say, an electron and positron annihilate, they create two photons which travel in opposite directions in order to conserve linear momentum. Is this true?
Yes, it is true, but “I read somewhere” isn’t a good reference. You should usually explicitly state where you read it.

DiracPool said:
Do you likewise need two photons to do this? Or, can you do it with one photon provided it has enough energy?
Both energy and momentum must be conserved (as well as charge, spin, etc). So one photon cannot do it.

You need two photons with opposite momentum and each with >511 keV energy, or a photon with >1022 keV energy and an atom. In the latter case the atom can take any leftover momentum.
 
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Pair production with one photon takes place when in the presence of a nucleus making the needed momentum, etc. balance.
 
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