Massless Electron Compton Scattering: Energy of Outgoing Photon

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SUMMARY

The discussion centers on the implications of massless electrons in Compton scattering, specifically regarding the energy of the outgoing photon. The formula used is $$\lambda - \lambda_0 = \frac{h}{m_0 c}(1-cos \theta)$$, where it is established that as the mass of the electron approaches zero, its Compton wavelength becomes infinite. Consequently, this results in the final wavelength of the photon also becoming infinite, indicating that the photon has zero energy. The conclusion drawn is that in this scenario, the massless electron absorbs all the energy of the photon.

PREREQUISITES
  • Understanding of Compton scattering principles
  • Familiarity with the concept of photon energy and wavelength
  • Knowledge of the relationship between mass and Compton wavelength
  • Basic grasp of quantum mechanics and particle physics
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  • Research the implications of massless particles in quantum field theory
  • Study the derivation and applications of the Compton wavelength formula
  • Explore the concept of energy conservation in particle interactions
  • Learn about the role of mass in particle physics and its effects on scattering events
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Physicists, students of quantum mechanics, and anyone interested in the theoretical implications of massless particles in particle interactions.

Silviu
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Hello! I found this problem where we are asked what happens to the energy of the outgoing photon in a Compton interaction, if the mass of the electron goes to zero and what is the physical intuition of it. So the formula is this: $$\lambda - \lambda_0 = \frac{h}{m_0 c}(1-cos \theta)$$ So when the electron gets massless its compton wavelength gets higher (infinite in the limit) and hence it spreads out and plugging in there you get that the final wavelength of the photon is infinite, which means that it has zero energy. But I am not sure what is the logic behind. Beside the obvious math, what is the explanation for the fact that the electron gets all the energy of the photon? Thank you!
 
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Silviu said:
I found this problem

Where? Is this a homework problem?
 

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