What Is the Minimum Photon Energy Needed to Produce a Proton-Antiproton Pair?

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SUMMARY

The minimum photon energy required to produce a proton-antiproton pair is determined using the equation E^2 = p^2c^2 + m^2c^4. Since the rest mass of the photon is zero, the energy must account for the rest mass of the proton and antiproton, which is approximately 938 MeV each. Therefore, the minimum energy needed is 2 * 938 MeV, equating to 1876 MeV or 3.0 x 10^-10 Joules. This calculation assumes zero kinetic energy for the photon pairs.

PREREQUISITES
  • Understanding of relativistic energy-momentum relations
  • Familiarity with the concept of rest mass in particle physics
  • Knowledge of photon properties, including mass and momentum
  • Basic grasp of conservation laws in physics
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  • Learn about the properties of photons and their role in particle physics
  • Explore the concept of pair production and its thresholds
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Homework Statement



How much photon energy would be required to produce a proton-antiproton pair? Give the answer in SI units.

Homework Equations



E^2=p^2c^2+m^2c^4
E=pc+pc
p=mc
E=2*m*c^2

The Attempt at a Solution



I seem to be confused I know the KE would be zero I also know this would not exist in real life but I need to find the min energy so KE of the photon pairs is 0. I am not sure if the equation has to do with the mass of a photon or the momentum of the photons. In either case I don't know what the mass of a photon would be. I read it was zero but can't figure out how to use this formula then.
 
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ok... mass of a photon is zero... I think we all know that. But its momentum is not... we can agree on that too I think. Now, your key equation is
E^2=p^2 c^2+m^2 c^4[\tex]<br /> where m here is the rest mass of your particle, p is its momentum and E is its total energy. To do your question: remember 4-momentum is conserved...etc
 

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