Energy loss in synchrotron accelerators

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SUMMARY

The discussion focuses on calculating energy loss in synchrotron accelerators, specifically for the LEP with a circumference of 25 km and beam energy of 50 GeV. The energy loss per turn for a single electron is determined using the formula (4π/3)*(e²)*(γ⁴)/radius, where γ represents the Lorentz factor. The user expresses confusion regarding the value of e² in Gaussian units and the implications of substituting values into the equation. Clarification on these points is sought to accurately compute the energy loss.

PREREQUISITES
  • Understanding of synchrotron physics
  • Familiarity with Gaussian units
  • Knowledge of the Lorentz factor (γ)
  • Basic principles of particle acceleration
NEXT STEPS
  • Review the derivation of the energy loss formula in synchrotron accelerators
  • Study the concept of the Lorentz factor (γ) in particle physics
  • Learn about Gaussian units and their application in electromagnetic calculations
  • Explore energy loss mechanisms in circular accelerators
USEFUL FOR

Physicists, engineers, and students involved in particle accelerator design and operation, particularly those focused on synchrotron radiation and energy loss calculations.

wakko101
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Homework Statement



For the LEP, we are given that it is a perfectly circular accelerator with circumference 25 km and that the energy of each beam is 50 GeV. Calculate the energy lost in GeV/s by a single electron on each turn.

Homework Equations


The loss is given by (4pi/3)*(e^2)*(gamma^4)/radius, and gamma is the ratio of beam energy to the rest mass of the electron.

The Attempt at a Solution


First of all, I'm not really sure what to do about that e^2...if we are working in gaussian units, does this equal 1? Secondly, if I simply substitute 50 Gev and .501 MeV/c^2 for energy and mass in gamma, and then take it to the fourth power, I get a huge number that couldn't possibly be the energy loss.

Basically, I'm confused by what this equation is really saying, so any clarification would be appreciated.

Cheers,
W. =)
 
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You might find this page useful http://hyperphysics.phy-astr.gsu.edu/HBASE/Particles/synchrotron.html"
 
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