Gamma ray colliding with an electron

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SUMMARY

The discussion centers on the analysis of gamma ray reflection from an electron, specifically using Compton scattering principles. A gamma ray beam with an energy of 1.00 MeV reflects off freely moving gold particles, resulting in an energy of 0.2035 MeV. The solution involves applying the Compton scattering formula, ensuring the mass of an electron is used rather than that of a gold nucleus. The final resolution confirms that the reflection can be accurately modeled by considering a 180-degree scattering angle.

PREREQUISITES
  • Understanding of Compton scattering principles
  • Familiarity with the energy-momentum relation: E² - P²c² = m²c⁴
  • Knowledge of photon energy calculations
  • Basic concepts of particle physics, particularly electron properties
NEXT STEPS
  • Study the Compton scattering formula in detail
  • Learn about the implications of energy conservation in particle collisions
  • Explore the concept of relativistic momentum in particle physics
  • Investigate the differences between scattering off electrons versus heavier nuclei
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Students and educators in physics, particularly those focused on particle physics and quantum mechanics, as well as anyone interested in the practical applications of Compton scattering in experimental setups.

lcd123
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Homework Statement


A beam of gamma rays of energy 1.00 MeV are aimed at a set of freely moving gold particles. The gamma rays reflected back have an energy of 0.2035 MeV. How is this result consistent with the model of a gamma ray reflecting from an isolated electron initially at rest?


Homework Equations


E^2-P^2c^2=m^2c^4



The Attempt at a Solution


I've tried a few ways using Compton scattering but to no avail.
Determining the momentum of the gamma ray.
 
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lcd123 said:

Homework Statement


A beam of gamma rays of energy 1.00 MeV are aimed at a set of freely moving gold particles. The gamma rays reflected back have an energy of 0.2035 MeV. How is this result consistent with the model of a gamma ray reflecting from an isolated electron initially at rest?

Homework Equations


E^2-P^2c^2=m^2c^4

The Attempt at a Solution


I've tried a few ways using Compton scattering but to no avail.
Determining the momentum of the gamma ray.
Welcome to Physics Forums.

Can you show your work on the Compton scattering calculation? For me, it worked out. Make sure that you:

1. Don't just subtract the two given energies, and use that to determine Δλ.
2. Do use the mass of an electron, not a gold nucleus or atom.
 
Thank you for your reply. After a few more tries I was able to solve it using Compton scattering with a reflection of 180.

:)
 

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