Pair Production Energy: Formula & Wavelength

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SUMMARY

In pair production, a photon must possess a minimum energy of 1.022 MeV to create an electron-positron pair, which corresponds to the rest mass energy of the pair. When an electron and positron annihilate, they produce at least two gamma rays, each with an energy of approximately 0.511 MeV. The total energy involved in pair production includes both the rest mass energy and any additional kinetic energy of the photon. Pair production can occur in a vacuum, but the presence of an atom typically facilitates the process.

PREREQUISITES
  • Understanding of pair production in particle physics
  • Knowledge of photon energy calculations
  • Familiarity with electron and positron properties
  • Basic concepts of gamma radiation
NEXT STEPS
  • Research the principles of photon energy and its relation to particle creation
  • Study the effects of kinetic energy in pair production scenarios
  • Explore the implications of pair production in vacuum conditions
  • Investigate the process and outcomes of electron-positron annihilation
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HarryDaniels
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In pair production, what is the formula for the energy of an electron or positron of this conversion.

Also, what is the wavelength of a photon that can create an electron positron pair.
 
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HarryDaniels said:
In pair production, what is the formula for the energy of an electron or positron of this conversion.

Also, what is the wavelength of a photon that can create an electron positron pair.
One needs a photon of an energy equivalent to at least the rest energy of the electron-positron pair, i.e., 1.022 MeV, in which case the electron and positron don't wander too far from the atom. The positron would anihilate, and the electron (with others) would find a way to fill the hole left by the annihilated electron.

In anihilation, at least two gamma rays of ~0.511 MeV are formed.
 
So what else would be included. The energy of the photon would be the resting energy of electron and positron plus there kinetic energy? What else comes into it?

What about in a vacuum, a pair production without an atom?
 

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