What is the minimum energy required to produce an electron-positron pair?

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SUMMARY

The minimum energy required to produce an electron-positron pair is calculated using the equation E = mc², where m is the mass of the particles. Since both the electron and positron have a mass of 9.1 x 10-31 kg, the total energy required is 2 * mc², resulting in a minimum energy of approximately 1.022 MeV. This conclusion emphasizes the necessity of considering both particles in the calculation, rather than just one.

PREREQUISITES
  • Understanding of Einstein's mass-energy equivalence principle (E = mc²)
  • Basic knowledge of particle physics, specifically electron and positron properties
  • Familiarity with energy units, particularly MeV (mega-electronvolts)
  • Concept of particle-antiparticle pairs in quantum mechanics
NEXT STEPS
  • Research the implications of pair production in high-energy physics
  • Learn about the conservation laws in particle interactions
  • Explore the role of energy thresholds in particle physics experiments
  • Study the applications of pair production in particle accelerators
USEFUL FOR

Students in physics, particularly those studying quantum mechanics and particle physics, as well as educators looking to explain the principles of particle-antiparticle creation.

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Homework Statement


The antiparticle of electron is positron, whose mass is the same as electrons, i.e. 9.1 * 10^{-31} kg but the charge is opposite. What is the minimum energy required to produce a electron-positron pair?

2. Homework Equations

E = mc^2

The Attempt at a Solution


Actually I thought, it would be just E = mc^2. But the answer doesn't match.
 
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You should calculate the energy required to produce a pair of particles i.e. two particles with equal masses!
 
2*mc^2 ?
 

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