2. Compton Backscattering. Consider a head-on collision in the lab frame between a Ee = 1 GeV electron and a E₁ = 1 eV photon in which the photon is backscattered, i.e., scattered in a direction nearly opposite that from which it came. Define to be the laboratory angle between the scattered photon and the incident electron beam. Backscattering then corresponds to 0 near zero. What is the energy of the backscat- tered photon? Also, calculate how the photon energy depends upon 0, for small departures from 180°. You may neglect terms which are of order me/Ee or Eo/Ee. FYI this process is actually useful for producing nearly monoenergetic photons in the ~MeV up to ~few 100 MeV range (depending obviously on what Ee and Eo one is using!) The electrons can be produced by an accelerator and the photons by a laser. Hint/suggestion: see V. N. Litvinenko et al., Phys. Rev. Lett. 78, 4569 (1997).
2. Compton Backscattering. Consider a head-on collision in the lab frame between a Ee = 1 GeV electron and a E₁ = 1 eV photon in which the photon is backscattered, i.e., scattered in a direction nearly opposite that from which it came. Define to be the laboratory angle between the scattered photon and the incident electron beam. Backscattering then corresponds to 0 near zero. What is the energy of the backscat- tered photon? Also, calculate how the photon energy depends upon 0, for small departures from 180°. You may neglect terms which are of order me/Ee or Eo/Ee. FYI this process is actually useful for producing nearly monoenergetic photons in the ~MeV up to ~few 100 MeV range (depending obviously on what Ee and Eo one is using!) The electrons can be produced by an accelerator and the photons by a laser. Hint/suggestion: see V. N. Litvinenko et al., Phys. Rev. Lett. 78, 4569 (1997).
Question
Transcribed Image Text:2. Compton Backscattering. Consider a head-on collision in the lab frame between a
Ee = 1 GeV electron and a E₁ = 1 eV photon in which the photon is backscattered,
i.e., scattered in a direction nearly opposite that from which it came. Define to be
the laboratory angle between the scattered photon and the incident electron beam.
Backscattering then corresponds to 0 near zero. What is the energy of the backscat-
tered photon? Also, calculate how the photon energy depends upon 0, for small
departures from 180°. You may neglect terms which are of order me/Ee or Eo/Ee.
FYI this process is actually useful for producing nearly monoenergetic photons in
the ~MeV up to ~few 100 MeV range (depending obviously on what Ee and Eo
one is using!) The electrons can be produced by an accelerator and the photons by a
laser. Hint/suggestion: see V. N. Litvinenko et al., Phys. Rev. Lett. 78, 4569 (1997).
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