What Is the Minimal Wavelength for Electron-Positron Pair Production?

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SUMMARY

The minimal wavelength for electron-positron pair production is calculated using the equation hc/λ = 2MeC², where Me is the electron mass (9.11 x 10^-31 kg) and C is the speed of light (3 x 10^8 m/s). The correct minimal wavelength is determined to be approximately 8.24 x 10^-11 meters. However, the discussion highlights a common misconception: the calculation provided actually yields the maximum wavelength, as energy decreases with increasing wavelength. Additionally, considerations for pair production in a magnetic field of 0.1T are mentioned, emphasizing the need to calculate the energy of the incident photon.

PREREQUISITES
  • Understanding of electromagnetic radiation and its properties
  • Familiarity with the concepts of pair production and particle physics
  • Knowledge of the constants: Planck's constant (h), electron mass (Me), and speed of light (C)
  • Basic understanding of magnetic fields and their effects on charged particles
NEXT STEPS
  • Study the derivation of the energy-momentum relation in particle physics
  • Learn about the implications of magnetic fields on particle trajectories
  • Explore advanced topics in quantum electrodynamics (QED) related to pair production
  • Investigate the experimental setups for observing electron-positron pair production
USEFUL FOR

Students and educators in physics, particularly those focused on particle physics and quantum mechanics, as well as researchers interested in electromagnetic interactions and pair production phenomena.

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Homework Statement



what is the minimal wavelength of electromagnetic radiation to pair-produce an
electron-positron pair?

Homework Equations


~ = wavelength
hc/~ = 2MeC^2 + K

The Attempt at a Solution


hc/~ = 2MeC^2
= 2(9.11x10^-31)(3x10^8)^2
~ = 8.24x10^-11m
is tis correct?
 
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You should recheck your calculations. Your final answer is wrong.

Are you sure the question is asking for the minimal wavelength? If so, your method is incorrect. Energy goes down as wavelength increases, so your calculation finds the maximum wavelength.
 
consider a pair production in a magnetic field of 0.1T. the particle-antiparticle pair have radii of curvature 120mm and 40mm respectively. Calculate the energy of the incident photon.
 

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